{ "cells": [ { "cell_type": "markdown", "id": "a068bc54", "metadata": { "tags": [] }, "source": [ "# Задача 3. Ферромагнитный резонанс и динамика магнитного момента в системе \"джозефсоновский переход-наномагнит\"\n", "\n", "В блокноте представлен инструментарий для исследования системы джозефсоновского перехода с наномагнитом на основе _Python_-реализации программного кода, на базе которого получены результаты в статье:\n", "\n", "[1] _Yu. M. Shukrinov, M. Nashaat, I. R. Rahmonov, and K. V. Kulikov_. __Ferromagnetic Resonance and the Dynamics of the Magnetic Moment in a “Josephson Junction–Nanomagnet” System.__ , JETP Letters, __2019__, Vol. 110, No. 3, pp. 160–165\n", "\n", "На основе данного программного кода возможно как всестороннее исследование динамики наномагнита, связанного с джозефсоновским переходом, так и моделирование существующих и возможных экспериментальных результатов. В частности, могут быть рассчитаны динамика намагниченности и сверхпроводящей фазы, средние значения проекций намагниченности, полного тока и сверхпроводящего тока при изменении различных параметров системы, а также максимальные значения амплитуды магнитной прецессии.\n", "\n", "__Схема системы__\n", "\n", "На Рис. 1 представлен схематический вид системы, состоящей из джозефсоновского перехода длины $l$ и наномагнита, находящегося на расстоянии $a$ от центра джозефсоновского контакта.\n", "\n", "![pic.png](https://gitlab-hlit.jinr.ru/butenko/jnotebooks/-/raw/main/sfs-p5.png)\n", "> ***Рис. 1. Схематический вид рассматриваемой системы с эквивалентной схемой электрической цепи***\n", "\n", "\n", "Предполагается, что легкая ось наномагнита направлен вдоль оси $y$, а напряжение $V$ приложено к джозефсоновскому переходу." ] }, { "cell_type": "markdown", "id": "fc6a7208", "metadata": { "tags": [] }, "source": [ "## Математическая постановка задачи" ] }, { "cell_type": "markdown", "id": "e607fe36", "metadata": {}, "source": [ "Динамика магнитного момента $m$ рассматриваемой системы описывается уравнением Ландау-Лифшица-Гильберта [1], которое в нормированных единицах покомпонентно имеет вид :\n", "\n", "$$\n", "\\begin{eqnarray}\n", "&& \\frac{dm_x}{dt} = \\frac{\\Omega_F}{1 + m^2 \\alpha^2} \\left[h_y (m_z - \\alpha m_x m_y) - h_z (\\alpha m_x m_z + m_y) + \\alpha h_x (m_y^2 + m_x^2) \\right],\\\\\n", "&& \\frac{dm_y}{dt} = \\frac{\\Omega_F}{1 + m^2 \\alpha^2} \\left[-h_x (\\alpha m_x m_z + m_z) + h_z (m_x - \\alpha m_y m_z) + \\alpha h_y (m_x^2 + m_z^2) \\right],\\\\\n", "&& \\frac{dm_z}{dt} = \\frac{\\Omega_F}{1 + m^2 \\alpha^2 + \\Omega_F \\alpha \\epsilon k (m_x^2 + m_y^2) } \\left[\\alpha \\epsilon [\\sin(V t - k m_z) + V] (m_x^2 + m_y^2) - \\right.\\\\\n", "\\label{eq1}\n", "\\tag{1}\n", "\\end{eqnarray}\n", "$$\n", "\n", "$$\n", "\\left. h_y (m_x + \\alpha m_y m_z) + h_x (m_y - \\alpha m_x m_z) \\right],\n", "$$\n", "\n", "где $\\epsilon = G k$ , $m=[m_x, m_y, m_z]$ - нормированные компоненты магнитного момента, компоненты эффективного поля $h = [h_x, h_y, h_z]$ определяются следующим образом:\n", "\n", "$$\n", "\\begin{eqnarray}\n", "&& h_x (t)=0,\\\\\n", "&& h_y = m_y(t),\\\\\n", "&& h_z (t)= \\epsilon [\\sin(V t -k m_z(t)) +V] - \\epsilon k \\frac{dm_z}{dt},\n", "\\end{eqnarray}\n", "$$\n", "\n", "с параметрами модели:\n", "* $G$ - отношение энергии Джозефсона к энергии магнитной анизотропии;\n", "* $\\alpha$ -параметр диссипации Гильберта;\n", "* $k$ - параметр связи;\n", "* $\\Omega_F$ - частота ферромагнитного резонанса (ФМР)." ] }, { "cell_type": "markdown", "id": "0bee4192", "metadata": {}, "source": [ "Для численного исследования динамики магнитного момента наномагнита, связанного с джозефсоновским переходом, решается __задача Коши__ для системы уравнений (1) с начальными условиями:\n", "\n", "$\n", "\\begin{eqnarray}\n", "m_x(0)=0, m_y(0)=1, m_z(0)=0,\n", "\\label{eq2}\n", "\\tag{2}\n", "\\end{eqnarray}\n", "$\n", "\n", "предполагающими, что все компонентны магнитного момента, кроме $m_y$, равны нулю." ] }, { "cell_type": "markdown", "id": "d3fbaf22-bab6-476c-89c4-d66ae0574f5a", "metadata": { "tags": [] }, "source": [ "## Инструментарий для численного моделирования \n", "\n", "Для численного решения начальной задачи (1), (2) воспользуемся функцией _solve_ivp_ библиотеки SciPy, примеры работы с которой представлены в разделе _\"Численное решение задачи Коши: библиотека SciPy\"_ HLIT Jupyter Book. Для построения графиков будем использовать библиотеки [Matplotlib](https://matplotlib.org/) и [seaborn](https://seaborn.pydata.org/).\n", "\n", "Ниже с комментариями представлены все шаги моделирования.\n", "\n", "__Подключаем необходимые библиотеки__" ] }, { "cell_type": "code", "execution_count": 3, "id": "dd3a57eb", "metadata": { "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.integrate import odeint\n", "from scipy.integrate import solve_ivp\n", "\n", "from functools import partial\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set()\n", "sns.set(style=\"whitegrid\")" ] }, { "cell_type": "markdown", "id": "bf5e0a6f", "metadata": { "tags": [] }, "source": [ "__Определяем правые части уравнений__\n", "\n", "Для решения начальной задачи с использованием функции _solve_ivp_ библиотеки SciPy, необходимо задать функцию, определяюшую правые части системы обыкновенных дифференциальных уравнений (1), описывающих динамику компонент магнитного момента $M=[m_x, m_y, m_z]$ от времени $t$. " ] }, { "cell_type": "code", "execution_count": 4, "id": "8d686c39", "metadata": { "tags": [] }, "outputs": [], "source": [ "def my_sfs(t, S, G, alpha, k, OmegaF, V):\n", " ''' Определяет правые части системы ОДУ (1), \n", " G, alpha, k, OmegaF, V - параметры системы \"джозефсоновский переход-наномагнит\" '''\n", " w = 1\n", "\n", " mx = S[0]\n", " my = S[1]\n", " mz = S[2]\n", "\n", " epsilon = G * k\n", " M = [mx, my, mz]\n", "\n", " m2 = np.dot(M, M)\n", " alpha2 = OmegaF / (1 + alpha * alpha * m2)\n", " mxmy2 = mx * mx + my * my\n", "\n", " Hx = 0\n", " Hy = my\n", "\n", " alpha2mz = OmegaF / (1 + alpha * alpha * m2 + OmegaF * alpha *\n", " epsilon * k * mxmy2)\n", " dmz_tmp = alpha2mz * (alpha * epsilon * (np.sin(V * t - k * mz) + V) *\n", " mxmy2 - Hy * (mx + alpha * my * mz)\n", " + Hx * (my - alpha * mx * mz))\n", "\n", " Hz = epsilon * (np.sin(V * t - k * mz) + V) - epsilon * k * dmz_tmp\n", "\n", " dmx = alpha2 * (Hy * (mz - alpha * mx * my) - Hz *\n", " (alpha * mx * mz + my) + alpha * Hx * (my * my + mz * mz))\n", " dmy = alpha2 * (-Hx * (mz + alpha * mx * my) + Hz *\n", " (-alpha * my * mz + mx) + alpha * Hy * (mx * mx + mz * mz))\n", " dmz = dmz_tmp\n", "\n", " dS = [dmx, dmy, dmz]\n", " return dS" ] }, { "cell_type": "markdown", "id": "25ffefe4", "metadata": {}, "source": [ "__Параметрами численного решения начальной задачи являются:__\n", "* ```t0``` - начальное значение интервала интегрирования;\n", "* ```tf``` - конечная точка интегрирования;\n", "* ```nt``` - количество точек интервала интегрирования ```[t0, tf]```, в которых сохраняется решения системы ОДУ.\n", "\n", "Массив точек задаем с помощью функции библиотеки Numpy\n", "```python\n", "t_e = np.linspace(t0, tf, nt)\n", "```\n", "Функция _solve_ivp_ поддерживает вызов различных методов решения задачи Коши: для нежестких систем, например, метод Рунге-Кутты 'RK45', и для жестких задач, например, неявный многошаговый метод переменного порядка 'BDF'. \n", "\n", "Для исследуемой системы проверием два этих метода решения для следующих значений физических параметров модели и параметров численного решения.\n", "\n", "Отметим, что кроме исследования на жесткость системы, важным является и время расчета, которое можно измерить с помощью \"магической команды\" ```%%time``` (_Cell Magic_ - магические команды ячейки, начинаются с ```%%``` и работают со всей ячейкой или несколькими строками ввода, подробнее см. [статью](https://pythonpip.ru/osnovy/osnovnye-magicheskie-komandy-v-python-s-primerami))." ] }, { "cell_type": "code", "execution_count": 5, "id": "2f5fd752", "metadata": { "tags": [] }, "outputs": [], "source": [ "# Физические параметры модели\n", "G = 0.3\n", "alpha = 0.001\n", "k = 0.01\n", "OmegaF = 0.5\n", "V = 1.8\n", "\n", "# Параметры численного счета\n", "# Интервал интегрирования по времени [t0, tf]\n", "t0 = 0\n", "tf = 2000\n", "nt = 50000" ] }, { "cell_type": "markdown", "id": "917e952a", "metadata": {}, "source": [ "Отметим, что для вызова решатетеля _solve_ivp_ для функции правых частей уравнений, содержащих параметры, вызов осуществляется с помощью функции _partial_, которая \"замораживает\" некоторую часть аргументов функции и/или ключевых слов." ] }, { "cell_type": "markdown", "id": "64f5e414", "metadata": {}, "source": [ "__Решение начальной задачи методом Рунге-Кутты ('RK45')__" ] }, { "cell_type": "code", "execution_count": 6, "id": "be1916f3", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.32 s, sys: 20.4 ms, total: 1.34 s\n", "Wall time: 1.35 s\n" ] } ], "source": [ "%%time\n", "f = partial(my_sfs, G=G, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", "t_e = np.linspace(t0, tf, nt)\n", "\n", "s0 = np.array([0, 1, 0]) # начальное условие \n", "sol_1_RK = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='RK45',\n", " rtol=1e-8, atol=1e-9) " ] }, { "cell_type": "markdown", "id": "974879d6-ef92-4871-9f01-cfa147a73b3b", "metadata": {}, "source": [ "Полученное решение представлено в объекте _sol_1_RK_, содержащего массив точек _sol_1_RK.t_, посчитанное в них решение _sol_1_RK.y_ и другие величины (более подробно [см. документацию](https://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.solve_ivp.html)).\n", "На Рис. 2 преведена временная зависимость _z_-компоненты магнитного момента." ] }, { "cell_type": "code", "execution_count": 12, "id": "e4fe0122", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 8))\n", "plt.plot(sol_1_RK.t, sol_1_RK.y[2], label='Компонента $m_z$ при G = %4.2f' % G)\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4577488b-ed30-4d0b-b278-39cb8228c6ad", "metadata": {}, "source": [ "> ***Рис. 2. Результаты расчета динамики проекции намагниченности на ось $z$, полученные методом Рунге-Кутта***" ] }, { "cell_type": "markdown", "id": "833fc1d8", "metadata": {}, "source": [ "__Решение начальной задачи многошаговым методом 'BDF'__" ] }, { "cell_type": "code", "execution_count": 6, "id": "ce4b4575", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 5.61 s, sys: 22 ms, total: 5.63 s\n", "Wall time: 5.64 s\n" ] } ], "source": [ "%%time\n", "f = partial(my_sfs, G=G, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", "t_e = np.linspace(t0, tf, nt)\n", "\n", "s0 = np.array([0, 1, 0])\n", "sol_1_BDF = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='BDF', rtol=1e-8, atol=1e-9)" ] }, { "cell_type": "code", "execution_count": 7, "id": "7594d1b1", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 8))\n", "plt.plot(sol_1_BDF.t, sol_1_BDF.y[2], label='Компонента $m_z$ при G = %4.2f' % G)\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bceca096-e67c-49de-92c1-f9ac1f06befd", "metadata": {}, "source": [ "> ***Рис. 3. Результаты расчета динамики проекции намагниченности на ось $z$, полученные методом ВDF***" ] }, { "cell_type": "markdown", "id": "7e55d1d9-8389-46c5-805b-927c2096cca6", "metadata": {}, "source": [ "Как видно из Рис. 2 и Рис. 3, полученные двумя методами результаты димамики магнитного момента совпадают.\n", "\n", "Для получения количественной оценки найдем максимум по всем точкам нормы разности решений." ] }, { "cell_type": "code", "execution_count": 8, "id": "40e9539c-ba98-4cda-b6f5-40ff1e1dbc35", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.535913570757392e-08\n" ] } ], "source": [ "test = sol_1_BDF.y -sol_1_RK.y\n", "test_err = (np.sqrt(test[0]**2+test[1]**2+ test[2]**2)).max()\n", "print(test_err)" ] }, { "cell_type": "markdown", "id": "ffd73722", "metadata": {}, "source": [ "Проведенное сравнение результатов показывает, что решения получены с заданной точностью, но время расчетов методом Рунге-Кутта в четыре раза меньше, поэтому, в дальнейших расчетах будем применять метод 'RK45'." ] }, { "cell_type": "markdown", "id": "52b9c200", "metadata": { "tags": [] }, "source": [ "## Численное моделирование: исследование переориентации намагниченности в системе" ] }, { "cell_type": "markdown", "id": "2fd778f5-b87a-44aa-a34f-5aa9ebf8156a", "metadata": {}, "source": [ "Возможность переориентации намагниченности может быть показана при проведении расчетов при различных значениях параметров. Зафиксируем параметры $k = 0.05$, $\\alpha = 0.1$, $V=5$ и проведем расчеты для нескольких значений параметра $G$." ] }, { "cell_type": "code", "execution_count": 9, "id": "04a2eac0-a4e6-4a6d-aa92-28d9cde9cb23", "metadata": {}, "outputs": [], "source": [ "# Зафиксированные физические параметры\n", "alpha = 0.1\n", "k = 0.05\n", "OmegaF = 0.5\n", "V = 5\n", "# Параметры численного счеты\n", "t0 = 0\n", "tf = 120\n", "nt = 600000" ] }, { "cell_type": "markdown", "id": "2c8e2b6f-e19b-4323-b41e-77fd75dec259", "metadata": {}, "source": [ "Расчет при $G = 3\\pi$" ] }, { "cell_type": "code", "execution_count": 10, "id": "436b8d56-ba59-4f51-9867-7fcfec4c92f4", "metadata": { "tags": [] }, "outputs": [], "source": [ "G3 = 3*np.pi" ] }, { "cell_type": "code", "execution_count": 11, "id": "23994fa5-5b20-40ba-92da-eb9715bfba30", "metadata": { "tags": [] }, "outputs": [], "source": [ "f = partial(my_sfs, G=G3, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", "t_e = np.linspace(t0, tf,nt)\n", "\n", "s0 = np.array([0, 1, 0])\n", "sol_G3 = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='RK45',\n", " rtol=1e-8, atol=1e-9)" ] }, { "cell_type": "code", "execution_count": 12, "id": "d4b7ec9a-42cb-4499-9db9-5b130b300a01", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(sol_G3.t, sol_G3.y[2], label='Компонента $m_z$ при G = %4.2f' % G3)\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "591ff5ab-84e3-4f7c-9bc7-563ecf0c58f7", "metadata": {}, "source": [ "> ***Рис. 4. Динамика компоненты $m_z$ при значении параметра $G=3\\pi$ ($k = 0.05$, $\\alpha = 0.1$, $V=5$)***" ] }, { "cell_type": "markdown", "id": "9743f53f-17e2-4007-83e5-295646c3e354", "metadata": {}, "source": [ "__Расчет при $G = \\pi$__" ] }, { "cell_type": "code", "execution_count": 13, "id": "4445ebf1-16e2-49d1-bb76-0fb310ca2134", "metadata": { "tags": [] }, "outputs": [], "source": [ "G1 = np.pi" ] }, { "cell_type": "code", "execution_count": 14, "id": "95d2629c-c44b-4d36-9158-b233ddfa768f", "metadata": { "tags": [] }, "outputs": [], "source": [ "f = partial(my_sfs, G=G1, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", "t_e = np.linspace(t0, tf, nt)\n", "\n", "s0 = np.array([0, 1, 0])\n", "sol_G1 = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='RK45',\n", " rtol=1e-8, atol=1e-9)" ] }, { "cell_type": "code", "execution_count": 15, "id": "a6ce33e9-7abd-4b27-9182-bbdc0c4bfcbb", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(sol_G1.t, sol_G1.y[2], label='Компонента $m_z$ при G = %4.2f' % G1)\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f2fd1a85-59e4-435d-9248-d57b87c4bf95", "metadata": {}, "source": [ "> ***Рис. 5. Динамика компоненты $m_z$ при значении параметроа $G=\\pi$ ($k = 0.05$, $\\alpha = 0.1$, $V=5$)***" ] }, { "cell_type": "markdown", "id": "003fa435-c3a7-4b65-b5fa-9d1c8b7926f3", "metadata": {}, "source": [ "__Расчет при $G = 0.5\\pi$__" ] }, { "cell_type": "code", "execution_count": 16, "id": "f3291dac-2146-47c7-afeb-ad992fe9b48a", "metadata": { "tags": [] }, "outputs": [], "source": [ "G05 = 0.5*np.pi" ] }, { "cell_type": "code", "execution_count": 17, "id": "1c11e14b-40aa-48d4-bcdf-9ef6a980e923", "metadata": { "tags": [] }, "outputs": [], "source": [ "f = partial(my_sfs, G=G05, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", "t_e = np.linspace(t0, tf, nt)\n", "\n", "s0 = np.array([0, 1, 0])\n", "\n", "sol_G05 = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='RK45',\n", " rtol=1e-8, atol=1e-9)" ] }, { "cell_type": "code", "execution_count": 18, "id": "f5d5126b-c279-4235-8e4a-2f705dff858e", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(sol_G05.t, sol_G05.y[2], label='Компонента $m_z$ при G = %4.2f' % G05)\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cb15fc91-f32b-4edd-993e-5aece0dadf5c", "metadata": {}, "source": [ "> ***Рис. 6. Динамика компоненты $m_z$ при значении параметра $G=0.5\\pi$ ($k = 0.05$, $\\alpha = 0.1$, $V=5$)***" ] }, { "cell_type": "markdown", "id": "ee332169-ec52-4d3a-8881-ccd8e307bee8", "metadata": {}, "source": [ "__Расчет при $G = 0.01\\pi$__" ] }, { "cell_type": "code", "execution_count": 19, "id": "12a80ae7-6643-4ae5-b3f7-c309d8af3bae", "metadata": { "tags": [] }, "outputs": [], "source": [ "G001 = 0.01*np.pi" ] }, { "cell_type": "code", "execution_count": 20, "id": "ce482c73-94d2-4ee3-bbda-60adc4939013", "metadata": { "tags": [] }, "outputs": [], "source": [ "f = partial(my_sfs, G=G001, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", "t_e = np.linspace(t0, tf, nt)\n", "\n", "s0 = np.array([0, 1, 0])\n", "\n", "sol_G001 = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='RK45',\n", " rtol=1e-8, atol=1e-9)" ] }, { "cell_type": "code", "execution_count": 21, "id": "9e2985ff-bf06-41a4-a800-db7820054513", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(sol_G001.t, sol_G001.y[2],\n", " label='Компонента $m_z$ при G = %4.2f' % G001)\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "53a87b3b-0fd2-4f50-962e-173d11f18e83", "metadata": {}, "source": [ "> ***Рис. 7. Динамика компоненты $m_z$ при значении параметра $G=0.01\\pi$ ($k = 0.05$, $\\alpha = 0.1$, $V=5$)***" ] }, { "cell_type": "markdown", "id": "e9b509cd-26ee-4390-b413-4e7183e69e28", "metadata": {}, "source": [ "Для более наглядного представления построим результаты всех расчетов на одном рисунке:" ] }, { "cell_type": "code", "execution_count": 22, "id": "73751311-fa3d-4e71-8181-6a0a1ecd43e6", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 8))\n", "\n", "plt.plot(sol_G3.t, sol_G3.y[2], label='G = %4.2f' % G3, linewidth=2)\n", "plt.plot(sol_G1.t, sol_G1.y[2], label='G = %4.2f' % G1, linewidth=2,\n", " color='black')\n", "plt.plot(sol_G05.t, sol_G05.y[2], label='G = %4.2f' % G05, linewidth=2,\n", " color='green')\n", "plt.plot(sol_G001.t, sol_G001.y[2], label='G = %4.2f' % G001, linewidth=2,\n", " color='red')\n", "\n", "plt.xlabel('t', size=16)\n", "plt.ylabel('$m_z(t)$', size=16)\n", "plt.legend(loc=(0.772, 0.5), fontsize=12)\n", "plt.savefig('gr-diffG-300dpi.jpg', bbox_inches='tight', dpi=300)" ] }, { "cell_type": "markdown", "id": "4ea44998-18bc-46d0-b487-40203b6a8602", "metadata": {}, "source": [ "> ***Рис. 8. Динамика компоненты $m_z$ в зависимости от величины параметра $G$ при $k=0.05$, $\\alpha=0.1$ и $V=5$***" ] }, { "cell_type": "markdown", "id": "381a0515-47ff-49d4-aa48-80dfd92ddb7b", "metadata": {}, "source": [ "Как видно из представленных результатов расчетов, компонента $m_z$ в начальный момент $m_z =0$ (магнитный момент направлен вдоль легкой оси - это ось $y$), при малых значениях параметра $G$ временная зависимость $m_z(t)$ выходит на определенное постоянное значение, а при $G = 3\\pi$, осциллируя, стремиться к единице, т.е. $m_y$ обращается в ноль. Это и есть переориентация легкой оси магнетика." ] }, { "cell_type": "markdown", "id": "8e289142", "metadata": { "tags": [] }, "source": [ "## Численное моделирование: проявление ФМР на зависимости $m_z^{\\max}(V)$\n", "\n", "Система \"джозефсоновский переход - наномагнит\" обладает богатой резонансной физикой. В этом разделе будет показано проявление ФМР на зависимости $m_z^{\\max}(V)$.\n", "\n", "Отметим, что численное моделирование таких явлений требует проведения многочисленных расчетов при различных значениях параметров и является весьма времязатратным при проведении расчетов в последовательном режиме (с использованием одного ядра CPU). Технология распараллеливания по данным с использованием библиотеки [joblib](https://joblib.readthedocs.io/en/latest/) позволит существенно сократить время расчетов, что будет показано в следующем подразделе." ] }, { "cell_type": "markdown", "id": "7ba900c9-02e0-47f2-b850-4691e2d69418", "metadata": { "tags": [] }, "source": [ "### Инструментарий численного моделирования: параллелизация вычислений с использованием библиотеки joblib\n", "\n", "Для исследования ФМР зафиксируем параметры $G = 0.3$, $k = 0.01$, $\\alpha= 0.001$ и $\\Omega_F = 0.5$, а для построения зависимости $m_z^{\\max}(V)$ зададим равномерную сетку по параметру $V$:\n", "\n", "$$V_j = V_{min}+ j \\dot \\Delta V, V_{min} = 0, \\quad V_{max} = 1, \\quad \\Delta V = (V_{max} - V_{min})/N_{point}.$$\n", "\n", "Для каждого значения $V_j$ требуется решить задачи Коши, при этом, в зависимости от параметров системы, решение выходит на установившийся режим при различных значениях времени $t$, что, при многочисленных расчетах, требует задания интервала интегрирования достаточно большим. Далее, для каждого полученного при значении параметра $V=V_j$ решения $m_z(t)$ находится максимальное значение на интервле установившегося режима и записывается в массив ```mz_max```." ] }, { "cell_type": "code", "execution_count": 23, "id": "6c9158a7-c975-4f91-ab25-b61c4d9ad938", "metadata": {}, "outputs": [], "source": [ "# Зафиксированные физические параметры\n", "G = 0.3\n", "k = 0.01\n", "alpha = 0.3\n", "\n", "OmegaF = 0.5" ] }, { "cell_type": "code", "execution_count": 24, "id": "651d04dc-3d94-4d3a-8cf1-ef77b78d99fe", "metadata": {}, "outputs": [], "source": [ "# Сетка по параметру V \n", "npoint = 200 \n", "Vmin = 0\n", "Vmax = 1\n", "deltaV = (Vmax - Vmin) / npoint\n", "Vgrid = np.zeros(npoint)\n", "\n", "# Параметры численного счета (для решения начальной задачи при каждом значении V)\n", "t0 = 0\n", "tf = 32000\n", "nt = 100000" ] }, { "cell_type": "markdown", "id": "2a88950c-7a73-402b-aa4b-c9ab7e363fb9", "metadata": {}, "source": [ "Проведем расчеты в двух режимах: последовательном и параллельном. " ] }, { "cell_type": "markdown", "id": "deb44b48-310e-41c6-a9c3-ab28ee5e5bb3", "metadata": {}, "source": [ "__Проведение расчетов в последовательном режиме__" ] }, { "cell_type": "code", "execution_count": 25, "id": "f0e2256d", "metadata": { "tags": [] }, "outputs": [], "source": [ "# массив для максимальных значений mz\n", "mz_max = np.zeros(npoint)" ] }, { "cell_type": "markdown", "id": "483ed432-74d6-4f8a-bd4f-7c99fe788756", "metadata": {}, "source": [ "Время расчета замерим с помощью \"магической команды\" ```%%time```. " ] }, { "cell_type": "code", "execution_count": 26, "id": "ffdd83ee", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 38min 59s, sys: 13.5 s, total: 39min 13s\n", "Wall time: 39min 10s\n" ] } ], "source": [ "%%time\n", "\n", "for j in range(Vgrid.shape[0]):\n", " V = Vmin + deltaV * j\n", " Vgrid[j] = V\n", " f = partial(my_sfs, G=G, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", " t_e = np.linspace(t0, tf, nt)\n", " s0 = np.array([0, 1, 0])\n", " sol_j = solve_ivp(f, [t0, tf], s0, t_eval=t_e, method='RK45', rtol=1e-8, atol=1e-9)\n", " crop = sol_j.y[2][6249:]\n", " mz_max[j] =np.abs(crop).max()" ] }, { "cell_type": "code", "execution_count": 42, "id": "8e720754", "metadata": {}, "outputs": [ { "data": { "image/png": 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+gcUEkYG7UlqNzPxrCPJ3aXnInaELHj8Yjc1qHE0pFDsKUZ/AYoLIwB1KKoBUKsGMcc5iR+k1w10GwMXBEomn8sWOQtQnsJggMmAqtYCfkgowzsMe1lb9xI7TayQSCYLHuyDj8jVcKa0WOw6RwWMxQWTAzl+8irLr9X3iwss7zfBzgVQqwaEkXohJ1NNYTBAZsINJBTDvZ4QJowaJHaXX2Vj1wzgPexxKKoCKa04Q9SgWE0QGqq6+Cb+eV2LKGCcYG9hDvToqePxglF+vR0oW15wg6kksJogM1PFzRWhoVGGW/2Cxo4gmYJQDLM3kSDzNCzGJehKLCSIDdSjpChwHmsPT1VrsKKKRG8kwfawzTqQqUVPXKHYcIoPFYoLIAJVU1OF8TlmfWlviXmYFDEZTsxpHznLNCaKewmKCyAD9lHzzDoaZfn3vLo47uTv1h6vCiqc6iHoQiwkiAyMIAg4lFcB32EDY25iJHUd0EokEs8a7ICu/EvnFVWLHITJILCaIDEx6XgWUZbV9cm2Je5kxjmtOEPUkFhNEBuZQUgH6GcswyddR7Cg6Y4ClCfw87fFT8hWuOUHUA1hMEBmQhiYVjpwtxCRfR5iaGIkdR6fM8h+MiiquOUHUE1hMEBmQk6lK1NU3I4gXXrYRMMoBFqZyHEzihZhE2sZigsiAHEwqwMABpvAZNlDsKDpHbiTD1LFOOHFeidobTWLHITIoLCaIDERFVT3OZpZipp8zpNK+vbbEvczyd0FjsxpHU4rEjkJkUFhMEBmIn5OvQC2Ad3G0Y8RgazjZWbSsw0FE2sFigsgA3FxbIh8eQ6zhbG8pdhyddWvNiQuXylFcXit2HCKDwWKCyADkFF7H5eJqzOKshEYzxrlAIgHXnCDSIhYTRAbgUFIB5EZSTB3jJHYUnWdnbQrfYQNxKKkAaq45QaQVohcTubm5iI6ORkhICKKjo5GXl9dmG5VKhZiYGAQHB2P27NmIjY3tUBsAJCQkIDw8HGFhYQgPD0dZWVmH9iPSF03Navzy2xUEjBoECzNjsePohSD/wSipqENabrnYUYgMguir2qxfvx6LFi1CREQE9uzZg3Xr1mHHjh2ttomLi0N+fj7279+PyspKREZGIjAwEM7Ozu22nT9/Hn//+9+xfft22NnZobq6GsbGxhr7JNInyRklqKpt5CmOTpjko8BH/5HhUFIBvN15Gy1Rd4k6M1FeXo60tDSEhYUBAMLCwpCWloaKiopW2yUkJCAqKgpSqRQ2NjYIDg7Gvn37NLZ9/vnnWLJkCezs7AAAlpaWMDEx0bgfkT45lFSAARYmGOdhL3YUvdHPxAiTfB1xNKUI9Y3NYsch0nuiFhNKpRIODg6QyWQAAJlMBnt7eyiVyjbbOTr+7zkDCoUCxcXFGttycnJQUFCAhx9+GPfffz+2bt0KQRA07kekL6pqG3E6rRjTxzlDJhP9rKVemeU/GDcamnHivFLzxkTULtFPc/QklUqFzMxMfPbZZ2hsbMSTTz4JR0dHREZGaqX/1NRUrfSTnJyslX76ur44jqeyatCsEqAwr9ba8feVcVQLAvqby7D70AVYolTr/feVcexpHEft6OlxFLWYUCgUKCkpgUqlgkwmg0qlQmlpKRQKRZvtioqK4OvrC6D1rEJ7bY6OjggNDYWxsTGMjY0xa9YsnDt3DpGRke3u11He3t4tp026Kjk5GX5+ft3qg/ruOH515BcMdbTCvOBArfTX18YxtCwdsYlZcB02Erb9TbXWb18bx57CcdQObYxjQ0NDu2+gRZ0XtbW1hZeXF+Lj4wEA8fHx8PLygo2NTavtQkNDERsbC7VajYqKCiQmJiIkJERjW1hYGI4ePQpBENDU1IQTJ07A09NT435E+qCgpBrZBZUI8h8sdhS9FeTvArUA/JR8RewoRHpN9NMcGzZswJo1a7B161ZYWVlh48aNAIClS5di1apV8PHxQUREBFJSUjBnzhwAwMqVK+HicvPK9fba5s2bh9TUVMydOxdSqRRTpkzBggULNO5HpA8Ons6HVCrB9HFcW6KrHAdawMvVBoeS8vHgzGGQSPhME6KuEL2YcHd3v+saD9u2bWv5WCaTISYm5q77t9cmlUrxyiuv4JVXXunUfkS6TqUW8FPyFfh52sPasp/YcfRakL8LPtiVguyCSowYbC12HCK9xMu/ifRQSvZVVFTVYxZPcXTblDFOkBtJubw2UTewmCDSQ4dOF8DCVI6AUQ5iR9F7FqZyTPRW4PCZK2hqVokdh0gvsZgg0jN19U34NVWJqWOdIDeSiR3HIAT5u6C6rgmn00rEjkKkl1hMEOmZoylFaGxScflsLRo7wg7WliY81UHURSwmiPTMoaQCONmZ82JBLZLJpJjh54Kk9BJcr2kQOw6R3mExQaRHistrceFSOYL8B/M2Ri2b5e8ClVrAL2e45gRRZ7GYINIjPyUVQCIBZvrxFIe2DVFYwd25P091EHUBiwkiPSEIAg4lF8B32EDYWWtv6Wf6nyB/F+RcuY7LyiqxoxDpFRYTRHoiLbcCxeV1XD67B00f6wyZVIKDnJ0g6hQWE0R64uDpfJiayDDJR6F5Y+qS/hYm8PdywM/JBVCp1GLHIdIbLCaI9EB9YzOOphRhkq8j+pmIvgq+QQvyd8G16gacyboqdhQivcFigkgPnEgtxo2GZi6f3QvGj3SApZmcF2ISdQKLCSI9cOh0PuytTTHKzVbsKAZPbiTDtLHOOJGqRM2NJrHjEOkFFhNEOq78+g2kZF/FTH8XSKVcW6I3BPm7oKlZjWMphWJHIdILLCaIdNzPyVegFoAgri3Ra4a7DICLgyUOnMoXOwqRXmAxQaTDBEHAwaQCeLnawNHOQuw4fYZEIsGcCYORefkaLhdzzQkiTVhMEOmwi1cqUVBSjSA+1KvXzfRzgZFMgv0nL4sdhUjnsZgg0mEHTxfA2EiKqWOcxI7S5/S3MMEEbwV+SipAU7NK7DhEOo3FBJGOampW4ZffriDQxxHmpnKx4/RJcyYMQXVdE06cLxY7CpFOYzFBpKNOXihGzY0mzBrPUxxiGTPcDvbWpvjxZJ7YUYh0GosJIh118HQBBvbvB9/hdmJH6bOkUglmTxiClOwyFJfXih2HSGexmCDSQRVV9fgtowQz/V0g49oSoprlPxhSCXibKFE7WEwQ6aCfkwugFoBZ47l8ttjsrE0xztMBiafy+fAvontgMUGkYwRBQOLpm2tLOHFtCZ0wZ8JgVFTVIzmjVOwoRDqJxQSRjskuuLm2BC+81B3jRw7CAEsTrjlBdA8sJoh0zMHT+TA2kmLKaK4toSuMZFLM8nfB6fQSlF+/IXYcIp3DYoJIhzQ2qXD4TCHXltBBcyYMgVot8NHkRHfBYoJIh5xK49oSusrRzgLe7rbYf/Iy1GpB7DhEOkX0YiI3NxfR0dEICQlBdHQ08vLy2myjUqkQExOD4OBgzJ49G7GxsR1q27JlCwIDAxEREYGIiAjExMR0qI1ILFxbQrfNmTAExeV1OJ9TJnYUIp1iJHaA9evXY9GiRYiIiMCePXuwbt067Nixo9U2cXFxyM/Px/79+1FZWYnIyEgEBgbC2dm53TYAiIyMxOrVq+/62u21EfW28us38FtGCR4MGs61JXTUJF9HfPzdeew/cRmjWfARtRB1ZqK8vBxpaWkICwsDAISFhSEtLQ0VFRWttktISEBUVBSkUilsbGwQHByMffv2aWwj0ic/J1/h2hI6zkQuw0w/Zxw/r0RldYPYcYh0hqjFhFKphIODA2QyGQBAJpPB3t4eSqWyzXaOjo4tnysUChQXF2tsA4C9e/ciPDwcS5YswZkzZ1r1214bUW8SBAEHk/K5toQemDtpKJpVahw4xdtEiW4R/TRHT1q4cCGWL18OuVyOY8eOYcWKFUhISIC1tXW7bR2VmpqqlZzJycla6aev0+dxvFLWgIKSGoQHDBD9OMR+fX3g6mCCPb9kwdWqCtJ7nJLiOGoHx1E7enocRS0mFAoFSkpKoFKpIJPJoFKpUFpaCoVC0Wa7oqIi+Pr6Amg9G9Fem53d/85pTp48GQqFAtnZ2QgICGi3raO8vb1hYmLStYP/r+TkZPj5+XWrD9L/cfw19ixMjGV4eP4kUW8J1fdx7C31RkX4vx2nIZg7w2/koDbtHEft4DhqhzbGsaGhod030KKe5rC1tYWXlxfi4+MBAPHx8fDy8oKNjU2r7UJDQxEbGwu1Wo2KigokJiYiJCREY1tJSUlLH+np6SgsLMTQoUM1thH1phsNzTh85gqmjObaEvpigvcg2FiZIOFYrthRiHSC6Kc5NmzYgDVr1mDr1q2wsrLCxo0bAQBLly7FqlWr4OPjg4iICKSkpGDOnDkAgJUrV8LF5eZ9+O21bd68GRcuXIBUKoVcLsemTZtaZiTaayPqTcdSCnGjQYXZAUPEjkIdZCSTImSiK/51IBPKslooBpqLHYlIVKIXE+7u7q3Whrhl27ZtLR/LZLJ7rgPRXtutwqSzbUS9af/JfDjZWWDkUBvNG5POCJk4BDsTs7Dv1zz8PnyU2HGIRCX6olVEfVl+cRXS8yowZ8IQSCRcW0Kf2PY3xUTvQThw6jIamlRixyESFYsJIhEdOJUPmVSCIH8un62P5k4aiuq6JhxLKRQ7CpGoNBYTgtB2DfqGBi7WQtRdTc0qHEoqwATvm4+3Jv3jO2wgnOwssJcXYlIfp7GYWLx4casVKXNychAVFdWjoYj6gpMXilFV24g5E3jhpb6SSCSYN3kosvIrkXG5QvMORAZKYzExa9YsLFiwAKdPn0Z8fDyefPJJPP/8870Qjciw7T9xGQMHmGLMCHuxo1A3zBrvArN+Rog7fEnsKESi0Xg3x2OPPYaRI0di8eLFsLGxwc6dO9ssKkVEnVNaUYez2VexcLYHH+ql58z6yTFnwhB8f+QSfl95AwMHmIodiajXaZyZKCgowJ///GdERUXBxcUFmzdvxo0bN3ojG5HBSjydDwAI5kO9DMK8yUMBQUDCcV47QX2TxmLisccew1NPPYX169djx44dsLOzw4IFC3ojG5FBUqkFHDiVjzHD7WBvYyZ2HNKCQbbmmOCtwL5f81Df2Cx2HKJep/E0x+eff44hQ25eICaTyfDyyy936vkVRNTa2axSlFXewBPzudCRIZk/1Q2/nlfi5+QrsDMWOw1R79I4M3GrkLjdjBkzeiILUZ+w/+RlWJkbY8Kotg+IIv01ys0Wbk798f2RS3e9pZ7IkGmcmSgvL8f777+PzMzMVutLfPfddz0ajMgQVVY34GRqMcKnukFuJBM7DmmRRCJBxDQ3/PWbM7hUbAJ/sQMR9SKNMxN/+tOf4OTkhGvXruHZZ5+Fvb09pk+f3hvZiAzOoaR8qNQCZgfwwktDNHWMEwZYmuBEZo3YUYh6lcZiQqlUYtmyZTA2NkZQUBC2bNmCM2fO9EY2IoOiVgvY9+tljHKzxeBBVmLHoR4gN5JhbqArsovqkV9cJXYcol6jsZgwNjZu+f/r16/DyMgIxcXFPR6MyNCczboKZXkt7gt0FTsK9aC5k4fCSCbBdz/niB2FqNdovGbC1dUVlZWVmD9/PqKiomBmZoaRI0f2RjYig5JwPBf9LYwxyZeLvhmy/hYmGOduhp9/K8DDoZ5cxIr6BI3FxDvvvAMAePzxxzFq1ChUV1dj2rRpPR6MyJBcvXYDp9OK8cDM4bzwsg8I9LRE0sU67Dmcgyfme4sdh6jHaSwmbufvz+uTibrix5N5EACE8hRHn2BtYYQpox3x44k8RM/2gIWpXOxIRD1K4zUTp0+fRnR0NAIDAxEQEIDx48dz0SqiTmhWqXHg5GX4eTrAgSte9hkPzhyOGw0q/MAltqkP0Dgz8dprr+G5556Dj48PpFKNtQcR3eFkajEqqhqwMspV7CjUi9yc+mOchz2+P3IJEdPcYSzn6S0yXBqrAwsLC8ydOxcuLi5wcnJq+UdEHZNwPBf21qbw83QQOwr1sgdmDkNldQMOJRWIHYWoR2ksJkJCQrB79240Njb2Rh4ig3KltBrnLpYhZKIrHzXeB/kOG4hhLgPwn58vQqXmEttkuDQWE+7u7oiJicHo0aPh5eUFT09PeHl59UY2Ir33w695MJJJMHsCV7zsiyQSCRbMHA5lWS2OpRSKHYeox2i8ZuKtt97Cli1b4O3tDZmM5/yIOqq+sRkHTxcg0McR1pb9xI5DIgn0UcDFwRL/OpCFKaOdIOUMFRkgjTMTAwcOxJQpUzBgwABYWlq2/COi9h09W4jaG024b5Kr2FFIRFKpBAtnj0BBSTWOny8SOw5Rj9BYTAQFBeGLL75AeXk5ampqWv4RUfsSjufBxcES3m62YkchkU0e7QRnewv8a38m1Lx2ggyQxtMc7733HoCbpzskEgkEQYBEIkF6enpPZyPSWxcLKpFdUIllkT6QSDit3dfJpBJEB4/Au1//hl9TlZjs6yh2JCKt0lhMZGRk9EYOIoOScDwXJsYyBPm7iB2FdMTUsc7414FM/Gt/JgK9Fbx2ggwKV6Ei0rLrNQ34+bcrCPJzgTmXUab/kkkleCjYA3nKKpy8wCcvk2Hp1LM5zp49iyNHjuDs2bMoLS1FQ0MDrK2tMXToUIwfPx7BwcHo379/T2Ul0gv7T15GU7MaYVOGih2FdMz0sU43ZycOZGKi9yCeAiOD0aGZie+++w7h4eFYuHAhtm/fjvr6eri6usLX1xdWVlZISUnBa6+9hmnTpmHNmjUoKOj4am+5ubmIjo5GSEgIoqOjkZeX12YblUqFmJgYBAcHY/bs2YiNje1Q25YtWxAYGIiIiAhEREQgJiamQ/sRdVWzSo2EY7kYM9wOgwdZiR2HdIxMJsVDs0bgUuF1nEjl7AQZDo0zE/Pnz0dFRQUiIiKwceNGeHl53bWarq6uxk8//YS4uDiEhYXh7bffxty5czUGWL9+PRYtWoSIiAjs2bMH69atw44dO1ptExcXh/z8fOzfvx+VlZWIjIxEYGAgnJ2d220DgMjISKxevbrN62raj6grTqQqUXa9Hk8/OFrsKKSjZvo5Y9ehbHzxQzoCRg3iyqhkEDTOTDzwwAM4ePAgXnrpJYwcOfKe03KWlpaYP38+tm3bhp07d3ZoLYry8nKkpaUhLCwMABAWFoa0tDRUVFS02i4hIQFRUVGQSqWwsbFBcHAw9u3bp7GtPV3dj6g9cUcuYZCtGfy8+BwOujuZTIpH7/NCQUk1fk7mMzvIMGgsJhYvXgwTExMAwHPPPQelUqmxU09PT0ydOlXjdkqlEg4ODi0ra8pkMtjb27d5DaVSCUfH/91KpVAoUFxcrLENAPbu3Yvw8HAsWbIEZ86c6VCfRF1x8Uol0nIrMG+yG99tUrsm+SowzLk/vv4xA03NKrHjEHVbpy7A/PHHH/HEE09AoVC0aausrMSlS5cwbtw4rYXrroULF2L58uWQy+U4duwYVqxYgYSEBFhbW2ul/9TUVK30k5ycrJV++jqxx3H3iQrIjSQYaFyB5ORKUbN0h9jjaCg0jWPgcDm++Ok6Pvn3EUz04KrC98KfR+3o6XHUWExcunQJKpUK7u7u7W53+fJlPPzww51azEqhUKCkpAQqlQoymQwqlQqlpaVtihWFQoGioiL4+voCaD2r0F6bnZ1dSx+TJ0+GQqFAdnY2AgIC2t2vo7y9vVtmbboqOTkZfn5+3eqDxB/HyuoGpO7cjzkThmBKoP5eLyH2OBqKjozjOEFASsFx/JpZhd8/MBlm/Xgb8Z3486gd2hjHhoaGdt9AazzNkZCQgPDwcIwdOxYSiQQfffQRduzYgaSkJNTW1rZsV11d3ek/rLa2tvDy8kJ8fDwAID4+Hl5eXrCxsWm1XWhoKGJjY6FWq1FRUYHExESEhIRobCspKWnpIz09HYWFhRg6dKjG/Yg668eTeWhWqRE2xU3sKKQnJBIJHp3rhes1jfj+yCWx4xB1i8aZicWLF8Pf3x9paWnYtGkTsrOzceTIETQ1NUEqlcLFxQXDhg1DRkYGPDw8Oh1gw4YNWLNmDbZu3QorKyts3LgRALB06VKsWrUKPj4+iIiIQEpKCubMmQMAWLlyJVxcbq4s2F7b5s2bceHCBUilUsjlcmzatKlltqK9/Yg6o6lZhb1HczF2hB1cHDhdTR3nOcQGE70H4bufL+K+QFf0t+jeTCeRWDQWExYWFpg4cSImTpyIXbt2YdOmTfDw8MDFixdx4cIFpKen4+LFixg5ciRWrVrV6QDu7u53XeNh27ZtLR/LZLJWa0Tcrr22W4VJZ/cj6ozDZwpxrboBz/9umNhRSA89ep8Xnv3LT/jXgUw8db+v2HGIuqRTF2AmJCS0fOzl5QUvLy+tByLSJ4IgYPcvORgyyBJjR9hp3oHoDoMHWSFkoisSjudh7qShnN0ivcRncxB1Q0r2VeQpqxA53Z1LI1OXPRzqiX7GMvwz7oLYUYi6hMUEUTd890sOBliaYPo4rpxKXdffwgQLZ3sgKb0Ev2WUih2HqNM0FhNPP/000tLSOtxhQ0MDPvvsM3zzzTfdCkak6y4XV+G3jFKETR4KuZFM7Dik58KmDIXC1hz/+D4VKpVa7DhEnaKxmHB0dMRDDz2EqKgo7NixAxcuXEBzc3OrbUpKSpCYmIhXX30VU6ZMwbfffotRo0b1WGgiXbDnlxwYy2UIDXQVOwoZALmRDL8PH4WCkmrsO3FZ7DhEnaLxAsy1a9fi8ccfx/bt2/H3v/8d1dXVkEgksLCwgLGxMa5fv47m5mYIggBfX1+8+uqriIiIgFTKMyhkuK5V1+On5CuYHTCYt/OR1kz0HgTfYQPx1b4MTB/nDAtTLmRF+qFDd3MMHjwYa9euxerVq3H27FmkpKSgtLQUDQ0NsLa2xtChQzF+/Hg4OTn1dF4inZBwLA8qtRoR09tfGZaoMyQSCZ6M8MZzm3/GV/vSeaso6Y1O3RpqbGyMgIAABAQEtPq6IAi8kp36jPqGZuw9dgkBIwfByc5C7DhkYIY69sfcSUORcCwXs8YPxjDnAWJHItJIK+ci/Pz8cPz48VZfU6n4JDwyTPtPXUZ1XRMenDlc7ChkoB65zwtWFibYuisFKrUgdhwijbRSTAwYMACbNm3C2bNnW7720EMPaaNrIp3SrFJj9y85GOVmC6+hNpp3IOoCC1M5npjvjeyCSvx4Ik/sOEQaaaWY6N+/Pz744AOsXbsWmZmZADgzQYbp8JlCXL12Aw/O5NLZ1LOmj3XC6OEDsWNvGq5V14sdh6hdWrvlwsnJCe+99x5efPFFXL58mddQkMFRqwV8+1M2hgyyhL+Xg9hxyMBJJBIsf8AXDU0qroxJOk8rxcSIESMA3Hxo19tvv41nnnkGlZWV2uiaSGckpZcgv7gaC4KGs1imXuFsb4kHZg7Hz8lXkJJ9Vew4RPeklWLi9qdzent7Y+3ataiv57QcGZZdh7Jhb22KqWN4CzT1noeCR0Bha46/x55FfUOz5h2IRNDpYuLQoUP45JNPEBsbi3PnzqGxsbHNNgEBAfj111+1EpBIF1y4VI70vArcP2MYZDIuyEa9x0Quw7PRY1BcXocvfkgXOw7RXXVqnYk33ngDX331FYyMjNDc3AyJRAKZTIahQ4di1KhRGDVqFB599NGeykokmm9/yoaVuTGCAwaLHYX6IB/3gQibPBRxRy9hkq8jRrnZih2JqJVOvcWKi4vDo48+inPnzuG3337DV199hVdeeQW+vr7IysrCO++801M5iURzqfA6TqeVIHyqG/oZd6r+JtKax+aNhL21Gf628wzqG3m6g3RLp34zyuVyBAUFQSqVwszMDOPGjcO4ceNa2u98ABiRIdiZmAmzfkYIm+ImdhTqw0xNjLAqegz+9OFxfLUvA0/M9xY7ElGLTs1M3HfffUhKSrpnu5ER37WRYblcXIXj55QIn+LGhy6R6HyH2eG+Sa7YczgH6bkVYschatGpYuL555/HL7/8ggMHDvRUHiKd8u/ELJiayDB/Gh/oRbph8byRsLM2w+ZvklFX3yR2HCIAnSwmrl27hv79+2PVqlWIjIzEX/7yFyQkJCAvL6+H4hGJp/BqDY6eLcTcSUNhZW4sdhwiAIBZPzn+8LtxKK2ow8ffnRc7DhGATl4z8dJLLyEzMxNz5szBjRs3sHv3bvzjH/+ARCKBmZkZvLy88OWXX/ZUVqJe9e/ELBgZyRA5nUtnk24Z5WaL6Nke+GZ/JsZ52GP6OGexI1Ef16liIj09Ha+//joiIiJavlZWVoa0tDSkpaUhPZ33QJNhKC6vxc+/XUHY5KEYYGkidhyiNqKDR+Bs1lVs/TYFnq42cLAxEzsS9WGdOs3h7OyM/v37t/rawIEDMW3aNCxfvhx/+9vftBqOSCy7DmVDKpHgAT7Qi3SUTCbFHxbdvJvu3a+SoVKpRU5EfVmnionFixdj165dPZWFSCeUVtTh4Ol8zJ4wGLb9TcWOQ3RPg2zNseLB0UjPq8A3BzLFjkN9WKeKid9++w1paWn44x//iMuXL/dUJiJR7UzMAiBBVNAIsaMQaTR9nDOC/F3w78QsJKWXiB2H+qhOXTNx4cIFlJaWYu/evUhISIBCocCoUaMwcuRIjBw5EqNGjcLAgQN7KitRj1OW1SLxdD7mTnKFnTVnJUg/PP2gLy4VXse7XyXjry9MxyBbc7EjUR/TqWLi+++/R1NTE7Kzs1suuExLS8O2bdtQV1cHiUTCizBJr/3rQCaMpBJEzeKsBOmPfsZGeHVxAF7468/4vx2nsemZqTCWy8SORX1Ip5eslMvlLTMRtwiCgNzcXGRkZHQ6QG5uLtasWYPKykoMGDAAGzduhKura6ttVCoV3nzzTRw5cgQSiQTLli1DVFSUxrZbLl26hPvvvx+LFi3C6tWrAQBbtmzB119/DXt7ewDAuHHjsH79+k7nJ8NxpbQaPycXYP40d9hY9RM7DlGnKAaa4w8P++GNT0/io/+cw6rosWJHoj5EK+tfSyQSuLm5wc2t888uWL9+PRYtWoSIiAjs2bMH69atw44dO1ptExcXh/z8fOzfvx+VlZWIjIxEYGAgnJ2d220DbhYb69evR3BwcJvXjoyMbCkuiL7Znwm5XIYHZw4XOwpRlwSMHITo4BHYmZgFjyHWCJnoKnYk6iM6dQGmtpWXlyMtLQ1hYWEAgLCwMKSlpaGiovWa8wkJCYiKioJUKoWNjQ2Cg4Oxb98+jW0A8Mknn2DGjBltZjuIbne5uApHzhZyXQnSe78L8cTYEXb46D/ncD6nTOw41EeIWkwolUo4ODhAJrt5bk8mk8He3h5KpbLNdo6Oji2fKxQKFBcXa2zLyMjA0aNHsXjx4ru+/t69exEeHo4lS5bgzJkz2jw00jPf/JiJfsYyPMBZCdJzMqkELz/qDwcbc7z9+SkUXa0ROxL1AQb7mM+mpiasXbsWb7/9dkuxcruFCxdi+fLlkMvlOHbsGFasWIGEhARYW1t3+DVSU1O1kjU5OVkr/fR1XR3HoopGHDtXimmjLJGdwWcd8OdRO8QexwcnWmDb/jq8+sEveGKOPcxMRH3v2GVij6Oh6OlxFLWYUCgUKCkpgUqlgkwmg0qlQmlpKRQKRZvtioqK4OvrC6D1bMS92q5evYr8/HwsW7YMAFBVVQVBEFBTU4M33ngDdnZ2Lf1PnjwZCoUC2dnZCAgI6HB+b29vmJh0b0o8OTkZfn5+3eqDujeO33/yKyzN5Fjxu6kw7+OPGefPo3boyjg6Di7Hax8dxw9nGxGzLBByI/0qKHRlHPWdNsaxoaGh3TfQov5k2drawsvLC/Hx8QCA+Ph4eHl5wcbGptV2oaGhiI2NhVqtRkVFBRITExESEtJum6OjI06ePIlDhw7h0KFDePzxx/HQQw/hjTfeAACUlPxvcZf09HQUFhZi6NChvXTkpCvOXbyK3zJLETVrRJ8vJMjwjHKzxaroMTifU4atu1IgCILYkchAiX6aY8OGDVizZg22bt0KKysrbNy4EQCwdOlSrFq1Cj4+PoiIiEBKSgrmzJkDAFi5ciVcXFwAoN229mzevBkXLlyAVCqFXC7Hpk2bWs1WkOETBAHb96ZhYP9+mDeZhSQZppl+Lii6Wot/HciEtZUJHps7UvNORJ0kejHh7u6O2NjYNl/ftm1by8cymQwxMTF33b+9tts9++yzrT6/VbRQ33X8vBJZ+ZVY9dAYLvBDBm1RiAcqaxoQezAblmbGuH8GH2BH2iV6MUEkBpVKjS8S0uHiYIEgf80zWUT6TCKRYPkDvqiua8Q/4y7A0kyO4IAhYsciA6JfV+MQaUni6QIUXq3Bo/eNhEzG/wzI8MmkEvxx0TiMGWGHLf8+i1/PKzXvRNRB/C1KfU5Dkwrf7M+AxxBrTPQeJHYcol4jN5Lh1cUBGO5ijU1fJPEpo6Q1LCaoz9nzSw7Kr9fj8XkjIZFIxI5D1KtMTYywfulEuCos8dZnp3AqrVjsSGQAWExQn3Ktuh67DmVhwqhB8HEfKHYcIlFYmhnjjacmwdXRCm9/fgonU3nKg7qHxQT1KV//mInGJjV+Hz5K7ChEorL4b0Hh5tQf/7fjNK+hoG5hMUF9xuXiKuw/kYf7JrnCyc5C7DhEorMwleP1ZZPg7jQAG3ecxk/JBWJHIj3FYoL6jM/iLsDUxAgLZ3uIHYVIZ5ibyvH6U4EY5WaLzV//hu9+vih2JNJDLCaoTziTWYrkjFI8FOyB/hZ8xDjR7cz6ybFh6URMHu2If8ZdwD/jLkCt5tLb1HFctIoMnkot4J9xF+BgY4bwqVw2m+hu5EYyvPSIPwZYnMd3P19EZXU9nn1orN49HIzEwWKCDN6Bk5eRp6zCy4/6Q27EZbOJ7kUmleCp+31gbWmCL/dloPTaDbzy+HjO5pFGLDnJoNXUNeKLH9Ixys0WU0Y7ih2HSOdJJBJEz/bAHx/2Q3b+Nfzhb4eRp6wSOxbpOBYTZNC+3p+JmrpGLIv04QJVRJ0wY5wz3l45Bc3NKry85TBOcC0KageLCTJYl5VV2HssFyGBrnBz6i92HCK9M2KwNTY/Px3O9jdXy/zyh3SoeGEm3QWLCTJIgiDgk93nYWZihEdCvcSOQ6S3bPub4u2VUzA7YDB2JmZh7UfHUVFVL3Ys0jEsJsggHT+vxLmLZXgk1BNW5sZixyHSayZyGVZFj8ULvxuLrIJreO7dn3Ems1TsWKRDWEyQwWloUuGf36fCVWGF0EBXseMQGYwg/8HY/Nw0WJobY/22X/F5/AU0NqnEjkU6gMUEGZxdB7NReu0GlkX6QCbjjziRNg0eZIXNz03DnAlD8O1PF/HCe7/g4pVKsWORyPiblgxK4dUa7DqUjeljneEzjE8FJeoJ/UyM8EzUGKx/ciJq6hrx4t8O45sfM9CsUosdjUTCYoIMhiAI+OjbczCRS/HEfD4VlKin+Xs54O8vBWHqGCd8vT8TL/z1F6TnVogdi0TAYoIMxpGzhTibfRWP3ucFa6t+Ysch6hMszYzxx4f98KffB6DmRhNe/vsRbPn3WVTVNoodjXoRl9Mmg1DfqMY/fkzFMJcBCJ3E528Q9baJ3gqMHm6Hb/ZnYs/hHJxIVeKxuSMRHDAYMikXjDN0nJkgg3DoXBUqaxqw4kFf/uIiEompiRGWhI/Cey9Mh5OdBf4eexbPb/4Zv2XwNlJDx2KC9N7FK5U4nV2DuZOGYriLtdhxiPq8oY79sfGZKVjz+Hg0NKqwftuvWPfxcVwqvC52NOohPM1Bek2lUuPvsWdhZiLFI/dxpUsiXSGRSDDZ1xEBIwch4Xgu/rU/E89t/hkTvQdh4WwPuDsPEDsiaRGLCdJrew7nIOfKdTw0xQYWpnKx4xDRHeRGUkRMc8es8YMRdzjnv9dTFGPCqEGInj2Cs4kGgsUE6a2ishp8tS8DE70HwctFJnYcImqHhakcvwvxRPg0d8QduYQ9h3Nw8r3D8Ha3ReQ0d4wfOQhSXu+kt1hMkF4SBAEfxKbAyEiK5Q/4Iu9imtiRiKgDLEzl+N0cD8yf6oYDpy7j+yOX8OZnp6AYaI7wKW6Y6e/CWUY9xGKC9FLiqXycu1iGFQtGw7a/KfLEDkREnWJuKkfk9GEIn+KG4+eV2PNLDj7ZfR6fx1/A5NGOCJnoCkHg4871heh3c+Tm5iI6OhohISGIjo5GXl5em21UKhViYmIQHByM2bNnIzY2tkNtt1y6dAmjR4/Gxo0bO7Uf6aZrVfX4NO4CRrnZImTCELHjEFE3yGRSTB3jhL88Nw1/fWE6Zo0fjBOpxVjzwVH8Pb4E3/yYgcKrNWLHJA1En5lYv349Fi1ahIiICOzZswfr1q3Djh07Wm0TFxeH/Px87N+/H5WVlYiMjERgYCCcnZ3bbQNuFg3r169HcHBwh/sk3SUIAj78zzk0NqnwTNRonmMlMiDDnAdg2IIBWBI+CkdTCrH7pzR8cyATX+/PxDDn/pg6xhkTfQbBcaCF2FHpDqLOTJSXlyMtLQ1hYWEAgLCwMKSlpaGiovXa7gkJCYiKioJUKoWNjQ2Cg4Oxb98+jW0A8Mknn2DGjBlwdXXtcJ+ku345U4hfzyvxSKgnnO0txY5DRD2gn4kRggOG4PfB9vhs7Zybz9qRSPBZ/AU89fZBrNh0ENv3piE9twIqPlxMJ4g6M6FUKuHg4ACZ7OaV+DKZDPb29lAqlbCxsWm1naOjY8vnCoUCxcXFGtsyMjJw9OhR7NixA1u3bm3z2vfaj3RTRVU9Pv7POXgMsUbE9GFixyGiXmDb3xSR04chcvowlFTU4eQFJU5dKMZ3P1/ErkPZMOtnBB/3gRg93A6jhw+Es70lZyxFIPppjp7S1NSEtWvX4u23324pVrQtNTVVK/0kJydrpR9DJggCvjlcjvrGJsz2McbZM7+12YbjqB0cR+3gOGrHnePoZAbcP74fQkcrkKOsR25JA7IuX8XJCzffDPaTS+A00BjOtsZwHmgMJ1tjmJn0rVvHm1UCKmqaYWoshaXpzWPv6Z9HUYsJhUKBkpISqFQqyGQyqFQqlJaWQqFQtNmuqKgIvr6+AFrPKtyr7erVq8jPz8eyZcsAAFVVVRAEATU1NXjjjTfa7bOjvL29YWJi0q0xSE5Ohp+fX7f66AsOJeUjq7AQT8z3Rsh09zbtHEft4DhqB8dROzSN45TbPi6pqMP5i1eRcfkaMi9fw5ELVVD/92YQxUBzDHW0gouDJYY4WMFlkCWc7MwhN9LPIkMQBNTcaEJxeS2Ky+tQXF6Lkoq6ls+vVt6AWi3Azak//vaHGVr5eWxoaGj3DbSoxYStrS28vLwQHx+PiIgIxMfHw8vLq9UpDgAIDQ1FbGws5syZg8rKSiQmJuKrr75qt83R0REnT55s6WPLli2oq6vD6tWrNfZJuqX8+g188t15jBxqg/CpbmLHISId5GBjBoeAIQgOuHmH142GZlwsqERm/jVk5V/DZWUVTpxXthQYUsnNImOQrTnsrM1gN8AUdtam//1/M1hbmsBY3vvFRkOTCteq6nGtqgEV1fWouF6Pa9X1qKi69XEDSq/Voa6+udV+/S2MMcjGHB5DrDFjnDOc7C3g7Taw13KLfppjw4YNWLNmDbZu3QorK6uW2zeXLl2KVatWwcfHBxEREUhJScGcOXMAACtXroSLiwsAtNvWnq7uR71LrRbw/s6zaFYLeG7hWD4RlIg6xNTECD7DBsJn2P/+oDY2qVBUVouC4mrkl1Qjv6QKpRV1uHilEtdrGtv0YWIsg6WZMazMjGFhJoeluTEsTOUwlstgbCS9+f///VhuJMWtVTEE4db/AGrh5us2NqnQ0KRCY7P65seNKtTcaELtjSbU3GhETV0Tam40oam57QWlUqkE1pYmsLHqBwcbM4xys8UgW3MMsjXDIFtzONiYwdRE3D/nohcT7u7ud13jYdu2bS0fy2QyxMTE3HX/9tpu9+yzz3ZpPxLX3mO5+C2zFE8/6MvbwYioW4zlMrgqrOCqsGrTVt/YjPLr9bh6rQ6l126gsroB1XWNN//VNqG6rhF5RVWoq29qKQju9oe/PUYyKUzkUpgY3yxCzE3lsDCVw8XKEhamNwsVCzM5BliYwNqqH2z++8/K3FjnLyoVvZggupfLxVX4LP4C/L0ccF+gq9hxiMiA9TM2gpOdBZzsOv6mRa0W0KT6X2EhAYD//s2XQALJfz82kcsgl8sMemaVxQTppKZmFd79Khlm/YywKnoMJBLD/Y+QiPSTVCqBiVQGExGurdA1oi+nTXQ3X/6QgdyiKqyKHgtry35ixyEionawmCCdc+7iVXz3y0XcF+iKgJGDxI5DREQasJggnXK9pgGbv/4NjgMtsGT+KLHjEBFRB7CYIJ0hCALe+9cZXK9pxMuP+qOfMS/pISLSBywmSGfsOZyDpPQSPDF/FNyc+osdh4iIOojFBOmErPxr2L43DYE+CsybPFTsOERE1AksJkh0tTeasOmLJFhb9cOqh3gbKBGRvmExQaISBAFbYs/iauUNvPSwPyzMjMWOREREncRigkQVd+QSjqUU4dH7vOA11EbzDkREpHNYTJBo0nLL8c+4C5gwahAenDlM7DhERNRFLCZIFNeq67FxRxLsrc3w/O/G8ToJIiI9xmKCep1KpcZfvkxGTV0jXlk8HhamcrEjERFRN7CYoF735b4MnLtYhhULRmOoI9eTICLSdywmqFcdTSnErkPZCJk4BLPGDxY7DhERaQGLCeo1uUXX8d6/zsBziDWeut9H7DhERKQlLCaoV1yvacCb/zwJC1M5XlkcALmRTOxIRESkJSwmqMc1q9TY9EUSrlU34NXFAbCx6id2JCIi0iIWE9TjPv0+FeculuGZqNEYMdha7DhERKRlLCaoRyUcz0X80VxETHNHkD8vuCQiMkQsJqjH/JZRio+/Ow9/Lwf8PnyU2HGIiKiHsJigHnG5uAobvziNwQ6WeOkRP8ikXOGSiMhQsZggrbtWXY/X/3ECJnIZ1j0xEWb9uMIlEZEhYzFBWtXQpMJbn51CZU0jXlsyAXbWpmJHIiKiHsZigrRGpRbwzhdJyMq/hj8sGsc7N4iI+ggWE6QVgiDg4+/O4eSFYjwZ4Y3Jvo5iRyIiol7CYoK0IvZgNn44nocHZw7D/KnuYschIqJeZCR2gNzcXKxZswaVlZUYMGAANm7cCFdX11bbqFQqvPnmmzhy5AgkEgmWLVuGqKgojW3ffvstPv/8c0ilUqjVakRFReGxxx4DAGzZsgVff/017O3tAQDjxo3D+vXre+/ADUjiqXx88UM6ZoxzxmNzR4odh4iIepnoxcT69euxaNEiREREYM+ePVi3bh127NjRapu4uDjk5+dj//79qKysRGRkJAIDA+Hs7NxuW0hICB544AFIJBLU1NQgPDwcAQEB8PT0BABERkZi9erVYhy2wTiVVowtsWcxZrgdVkWPhZS3gBIR9TminuYoLy9HWloawsLCAABhYWFIS0tDRUVFq+0SEhIQFRUFqVQKGxsbBAcHY9++fRrbLCwsIJHc/ONWX1+Ppqamls+p+1Kyr+L/tp+Gm1N/vLJ4PORGPGtGRNQXifrbX6lUwsHBATLZzSdIymQy2NvbQ6lUttnO0fF/F/QpFAoUFxdrbAOAgwcPYt68eZg5cyaefPJJeHh4tLTt3bsX4eHhWLJkCc6cOdMjx2ioMvIq8OY/T8JxoDlilgZyLQkioj5M9NMcPW3WrFmYNWsWioqKsHLlSkybNg1ubm5YuHAhli9fDrlcjmPHjmHFihVISEiAtXXHb2dMTU3VSsbk5GSt9NNblNca8XniVZibyLAg0ALZGefFjgRA/8ZRV3EctYPjqB0cR+3o6XEUtZhQKBQoKSmBSqWCTCaDSqVCaWkpFApFm+2Kiorg6+sLoPVsRHttt3N0dISPjw9+/vlnuLm5wc7OrqVt8uTJUCgUyM7ORkBAQIfze3t7w8TEpNPHfbvk5GT4+fl1q4/eVFBSjb9+fxSW5v2wceUU2NuYiR0JgP6No67iOGoHx1E7OI7aoY1xbGhoaPcNtKjFhK2tLby8vBAfH4+IiAjEx8fDy8sLNjY2rbYLDQ1FbGws5syZg8rKSiQmJuKrr77S2JaTkwN395u3KVZUVODkyZOYM2cOAKCkpAQODg4AgPT0dBQWFmLo0KG9deh6qbi8Fms/Pg6JRII3l0/SmUKCxKFWq3HlyhXU1taKHUXnGBkZIT09XewYeo/jqB2dGUdzc3M4OztDKu3cVRCin+bYsGED1qxZg61bt8LKygobN24EACxduhSrVq2Cj48PIiIikJKS0lIIrFy5Ei4uLgDQbtvOnTtx7NgxGBkZQRAEPPLII5gyZQoAYPPmzbhw4QKkUinkcjk2bdrUaraCWiu/fgNrPz6OhkYV3l45BU52FmJHIpGVlZVBIpHAw8Oj0794DF1tbS3Mzc3FjqH3OI7a0dFxVKvVKCwsRFlZWcuyCR0lEQRB6GrAvurWdE9fOc1x9doN/OnDY6isacCbyyfp5DLZ+jCO+qAz45iVlQVXV1cYGxv3cCr9wz+C2sFx1I7OjGNjYyMuX76M4cOHt/q6pr97os9MkG4rqajDnz48huq6Rrz+VKBOFhIkDpVKBbmcd/EQGRK5XI7m5uZO78digu5JWVaLP310DHX1zXhz+SQMd2EhQa1x3RYiw9LV/6ZZTNBdFV2twasfHkNjkwpvLZ8Ed+cBYkciIiIdxWKC2igoqcZrHx1Ds0rAW09PxlDH/mJHIiIiHcZLsKmVy8oqvPrhMagF4M8rWEiQ/goKCoK3t3eb5fkjIiLg4eGBK1euiJSMyPCwmKAWabnlWP3BUUglwJ+fnowhg6zEjkTULU5OTti7d2/L55mZmaivrxcxEZFhYjFBAIBTF4qx9qPj6G9ujI3PTIWLg6XYkYi6LSIiArt37275fPfu3YiMjGy1zSeffILg4GCMHTsWc+fOxYEDB1ragoKCcPz4cQDAuXPnMGXKFJw7dw7AzdV2n3nmGUycOBETJkzA66+/3rLfvHnzWvarra3FpEmT8Lvf/a5VvxMnTkRjY2PL1xYsWAAPD4+WK+nbywUAjz76KHx8fDB27Fj4+Pi06f/W69/pzrbY2Fg8+uijLZ/n5OTg0Ucfhb+/P+bNm4eDBw+2tJWUlODZZ5/FxIkTERQU1OYJz7d7+OGH4e/vD39/fzz77LOoqanpcIZbxz5lypRWx37lypVWY3Tn5+3l0/Sat7ff7XvWmWOPjY3FE088gfXr12P8+PEICQnBxYsXsX37dsyYMQMTJkzA/v3777n/3QQFBcHX1xdjx45t+Z7fyh8UFISPP/4Yc+fOxfjx4/HKK6+goaGhZV9NP4/awGKCkHjqMt76/BQGK6yw6dmpGGTL+7rJMIwZMwY1NTXIycmBSqVCQkIC5s+f32obFxcXfPXVV0hOTsYzzzyDl156CaWlpa22ycnJwcqVK/HOO+/A19cXKpUKTz31FBwdHXHo0CEcPnwYc+fOvWuGTz/9FEZGbS9Ps7a2bvlDnZmZibq6uk7lUqvVWLduHc6cOYOYmJgujc+dmpqasHz5ckyePBnHjx/Ha6+9hhdffBGXLl2CWq3G008/DQ8PDxw+fBjbt2/H9u3bceTIkbv2tXbtWpw4cQI///wzampq8N1333U4x61jP3z4cKtjv7U4mlqtbrNPZ/O1587vWWf7zszMRGpqKkJDQ3HixAmMGDECS5cuBQAcOHAAK1aswIcfftjpXB999BHOnDmDM2fOYN26da3a4uLi8Omnn+LAgQPIzc3F1q1bO3Rs2sJiog8TBAGxB7Pwt51n4TtsIN5aPgn9Lbq3CBeRrrk1O3Hs2DG4ubm1LKN/y3333QcHBwdIpVLMnTsXQ4YMaZl9AIDCwkIsWbIEzz//PAIDAwHcnKUoLS3Fyy+/DDMzM5iYmMDf37/Na5eVlWHXrl34/e9/36YtKioKu3btAnDzneyCBQs6laupqUnr63ykpKSgrq4Oy5Ytg7GxMQIDAzFz5kzs3bsX58+fR0VFBZ555hkYGxvDxcUFDz30EBISEu7al6enZ8sfLZlMhhEjRnQ4x72OfeDAgS0PZ7xTZ/Pdy92+Z53tOyMjA8uWLUNgYCBkMhnc3d0xYsQIPP7445DL5RgxYkSX1nJoz8MPPwyFQoEBAwbg6aefbnV6r71j0xbezdFHqdUCPo1LxfeHL2HaWCc8v3Ac5EasLcnwRERE4JFHHsGVK1cQERHRpn337t347LPPUFhYCACoq6vDtWvXWtrffPNNeHp64vjx43jwwQcB/O+Bgpre4W3ZsgWPPPII+vdveyGzp6cnfvjhB1y6dAnHjh3Dhx9+2PI4gY7kun79+l37vWXlypWQyWQwNzfHvHnz8NJLL7WsIXCrDbhZlNx6UGJpaSkGDRrUanl0R0dHlJSUoLCwEKWlpa2KJpVKddci6pbw8HBcvHgR/v7+cHV1vWu+OzPcfuxXrlyBRCJpOXZjY2OsX78e69atw40bN1rNUHQkX3uvecvdvmedPfbMzMxWs0U5OTmYMWNGy+cXL16Em5vbXfftqtsfkOno6Nhmdg1o/+exu1hM9EENTSr87V9ncORsIcKnuuHJ+d6QSrn4EBkmJycnODs745dffsFbb73Vqq2wsBCvvfYaPv/8c4wdOxYymaxNwfHEE09g6dKlmD9/Pg4ePIhZs2ZBoVBAqVSiubn5ngVFbm4ujh49ir17997zHewDDzyAF154ATNmzGjVj6ZcjY2NKCwsbPMH+nYffPABJk2aBKVSiaioKEycOBHTpk1r1QbcnBX5/vvvAQD29vYoLi6GWq1uKSiUSiVcXV2hUCjg7OzcqXP9cXFxuHHjBtatW4e3334b7733Xpt8d2a4/dhHjBgBKyurVsceFRWFqKgoADevmZg1axYAdCjfvV7zlnt9zzpz7IWFhWhqamr14Mj09HQ88cQTLZ9nZmbCy8sLAFBVVYWVK1cCAPLz87FkyRI8/vjjGl/nTkqlsuXjoqKiNs/W6MjPY3fwrWgfU1FVj1e3HsXRlEIsnjcSSyNYSJDhe+utt7B9+3aYmbV+0u2NGzcgkUhanlT87bffIjs7u9U2/v7+MDU1xVtvvYWYmBhUVVXB19cXdnZ2ePfdd1FXV4eGhgYkJye32u/DDz/EypUr0a9fv3vmCg8Ph7u7O6Kjozucq6GhAR988AGGDBnSoScdm5ubtzzsUBNfX1+YmpriH//4B5qamnDy5EkcOnQIc+fOha+vLywsLPDJJ5+gvr4eKpUKWVlZrU693FJbW4uCggIAN9/BNzc3tzsOHT12Tdk7mu9e7vU960zfGRkZGDFiREsxVlNTg6KiInh4eLTaxtPTEwBgZWWFL774An/4wx8wbdo0PPLIIx3Oe7uvv/4axcXFqKysbLkYsyPHpi0sJvqQS4XX8cf3fsHl4mq88ngAHgwazuWQqU8YPHgwfHx82nx92LBhWLJkCRYuXIhJkyYhKysL48aNu2sfAQEBCA4Oxttvvw2ZTIaPPvoIly9fxsyZMzFt2jT88MMPrba3trZuc+fInSwsLLB58+Y2Mwzt5dq6dSvOnDmD999/v92+b/1xCgsLQ3BwMKZOndru9gBgbGyMDz/8EIcPH8bEiRMRExODTZs2wd3dHTKZDB9++CEyMjIwa9YsTJw4Ea+99lqruzRuqampwYoVKzB27FjMmjULjY2N+OMf/6jx9e889tmzZ7f7PbldZ/Ldy72+Z53p+/ZC4dbngwcPhqmpKYCbF3NmZ2e3zEwAN6/BiY2Nxfr161tOw3RWWFgYlixZguDgYLi4uODpp5/u0LFpC58a2gX6+NTQE6lKvPtVMixM5XhtyQSDWx6bTw3Vjs6MY3p6eqtfiPQ/fNqldvSFcUxNTcVXX32F119/vcsX1AYFBeHNN99sOYVzp86O493+2+ZTQ/s4QRDwn58uYntCGoa7DMCffj8BNlY9M81FRESds3z5cjg7O2PJkiXw8PDAa6+9JnakLmExYcDqG5vx4bfncCipAFPHOOG5hWNhIu/aFBoREWnf0aNHxY6gFSwmDFRRWQ3+b/tp5BZVYdEcDyyc48HrI4iIDNChQ4fEjsBiwhCdSFXivW9+g1QqwfonJ8Lfy0HzTkRERF3EYsKAqFRqfPFDOr796SKGOffHmscD4GBjpnlHIiKibmAxYSCuVdXjnS+TcT6nDKGBrlga4Q1jXh9BvehQUj4OnMrv0deYHTAYQf6De/Q1iKjzWEwYgN8yS/HeN7+htr4ZL/xuLH/ZEhFRr2IxoccamlTYvjcNcUcuwcXBEq8/NQmuCiuxY1EfFeTPWQOivorFhJ7KLbqOv3yVjPziaoRPdcPj80bytk8iIhIFl9PWM2q1gN2/XMQf3juM6tpGxCwNxLJIHxYSRNTnBQUF4fjx42LH6JNYTOiR0oo6rPvkOD79/gL8PO2x5cWZGOdpr3lHItKKyspKrFy5EmPGjMHMmTMRFxfX7vYvvvgipkyZgnHjxiEkJASxsbEd7quzr3Wn+vp6vP/++5g/fz7Gjx+PmTNnYtWqVTh79myn+ulslvaOWVNfd7bd+byT3tCZY9W07ZdffokHHngA3t7eWLNmTZdfRx/wNIceUKkF7D16CV/8kA4AeCZqNOZMGMJFqIh62a3nJxw7dgzp6el46qmn4OnpieHDh991+6eeegp//vOfYWxsjJycHDz22GPw8vKCt7e3xr46+1q3q6urwxNPPAErKyts3rwZw4YNQ21tLeLj43H06FGMGTOmx467vWPW1Nfd2kaPHt2hY9aWzhyrpm3t7e2xYsUKHDlyBA0NDV1+HX3AmQkdd1lZhdVbjmDbnlSMcrPFBy8HIWSiKwsJok5obm7GBx98gKCgIEyYMAFxcXHYtm0bPvzwww73UVdXh/379+O5556Dubk5/P39ERQUhD179txzn+HDh8PY2BgAIJFIIJFIkJ+fr7GvrrzW7d59910IgoAPPvgAw4YNA3DzUeTR0dF45plnOnzMXclyr2PW1Nfd2qZNm9bhY75TTk4OgoKCsHfv3h451o5sO2fOHAQHB2PAgAFdfh19wZkJHdXUrMK/E7Ox61AWzPrJ8ceH/TB9rBOLCKIueO+995Camoo9e/bg9OnTeOeddyCRSPDvf/8bwM1308nJyXfd18/PDx9//DHy8vIglUoxdOjQljZPT0+cPn263dfesGEDvvvuO9TX12PkyJGYPn26xr66+lrAzenznTt34vPPP4eRUfu/4nvquO92zJqO625tI0aMQEpKisZjvtOFCxewcuVKrF+/HjNnzuyRY+3O96g7++oqFhM66PzFMnz4nxQUlNRghp8znpzvjf4W3XvUOVFfVVNTg+3btyMhIQGWlpYYPXo0Ll26hBdeeAEWFhYAgI8//lhjP3V1dbC0tGz1NUtLS9TW1ra734YNG7B27VqcOXMGp06dgrGxsca+uvpaAHDixAn0798f/v7+LV9bsGAB8vLy0NjYiE8//RTjx48H0HPHfbdj1tTX3dosLCw6dMy3S0pKwq5du7Bp0yZMnDix5evaPtbufI+6s6+uEv00R25uLqKjoxESEoLo6Gjk5eW12UalUiEmJgbBwcGYPXt2qwt62mv79ttvER4ejoiICISHh2PHjh0d2k8sV6/dwMYdp/Hqh8fQ0KjC+icn4o+L/FhIEHXDiRMn4OrqChcXFwBAU1MTLC0t8cgjj3SqHzMzM9TU1LT6Wk1NDczNzTXuK5PJ4O/vj+LiYnzzzTca++rOa5WVlcHevvWF2bt27cL+/fvR0NDQ6XPyXc1y5zFr6utubbW1tR065tv961//wtixY1sVEh3VmWPtzveoO/vqKtFnJtavX49FixYhIiICe/bswbp161r90QeAuLg45OfnY//+/aisrERkZCQCAwPh7OzcbltISAgeeOABSCQS1NTUIDw8HAEBAfD09Gx3v96mUgvYdSgLsQezIagFLJrjgQeChvN2TyItKCkpafXHdefOnXBwcGiZlQCAJ598st0p8H/84x9wdXWFSqVCXl4eXF1dAQAZGRkt1yR0hEqlQn5+PhYsWNBuX915LYVCAaVSCZVKBZnsf79D0tPToVAoWp2/743jvnXMmo7rbm1ZWVmdGl8AiImJwbZt2/DnP/8Zr776ao8da3fGRRs/SzpHEFFZWZng5+cnNDc3C4IgCM3NzYKfn59QXl7earulS5cKP/zwQ8vnMTExwrZt2zS23e7q1avC5MmThYyMjE7tdzf19fVCUlKSUF9f38EjvbekpCTh/MWrQtgfdgtvfXZSKC6v7XaffVFSUpLYEQxCZ8YxLS2tB5NoT2JiojBp0iShpKREOHv2rDBz5kxhwoQJQkNDQ6f7ev7554UXXnhBqK2tFZKSkoRx48YJWVlZbbarqakRysrKhPj4eKGmpkZobm4WDh8+LIwePVo4cOBAh/rS1L569Wph9erVbV67rq5OCAoKEl5//XXh2rVrglqtFvLz84UXXnhBeOqppzp9zJ05bk3HrKmvrh7zLTNnzhSOHTsmXL9+Xbj//vuFd955p8eOtSPbNjU1CfX19cJf/vIX4cUXXxTq6+uFpqamTr9Od9XU1HRq+7v9t63p756oxcT58+eFuXPntvrafffdJ6Smprb6WlhYmJCSktLy+SeffCK88cYbGtsE4eYvkrlz5wre3t7CZ5991qE+NdF2MaFSqYWyyrpu99WXsZjQDkMsJhoaGoSXXnpJ8PPzE4KCgoQLFy4IixcvFhYuXNjpvq5duyY8/fTTwujRo4Xp06cL33//fav2J554Qvjwww+Fmpoaoby8XHj44YcFPz8/YezYsUJYWJiwc+fODvelqf2xxx5r1d/tLl++LKxYsUKYOHGiEBAQIMyfP1/YvHmzUFhY2Olj1pTl1jELgqDxmDX1dWdbbGxsh49ZEP5XTNzqKzw8XPjrX//aI8eqaVtBEIT3339fGDFiRKt/77//fof21abeKCYkgiAIYs2KpKamYvXq1a1u3Zk7dy7eeecdjBo1quVr4eHheOutt+Dr6wsA2LZtG0pKSvDaa6+123a7oqIirFy5Eu+++y7c3Nw6vN/dNDQ0IDU1tdvHT6TPjIyM9HtaVo81NTUhOjoaO3fuhFwuFztOr+iLxyyWixcvorm5+a5t3t7eMDFpex2fqNdMKBQKlJSUtJzbU6lUKC0thUKhaLNdUVFRyx9+pVIJR0dHjW23c3R0hI+PD37++We4ubl1eL/23GtQOyM5ORl+fn7d6oM4jtrSmXFMT0/X6wvGelJXLhzsrB9//LFH+9cFd45jXzjmntDZn0djY2OMHj261dc0vYkW9W4OW1tbeHl5IT4+HgAQHx8PLy8v2NjYtNouNDQUsbGxUKvVqKioQGJiIkJCQjS25eTktPRRUVGBkydPYsSIERr3IyIioo4T/W6ODRs2YM2aNdi6dSusrKywceNGAMDSpUuxatUq+Pj4ICIiAikpKZgzZw4AYOXKlS23ebXXtnPnThw7dgxGRkYQBAGPPPIIpkyZonE/IiIi6jjRiwl3d/e7rvGwbdu2lo9lMhliYmLuun97bbffFtSZ/YiIiKjjRF+0ioj0l4jXbxNRD+jqf9MsJoioS/r164fy8nIWFEQGQhAElJeXo1+/fp3eV/TTHESkn5ydnXHlyhVcvXpV7Cg6p7GxseV5FNR1HEft6Mw49uvXr0srQbOYIKIukcvlrZ56SP+TnJzc5tY66jyOo3b0xjjyNAcRERF1C4sJIiIi6hYWE0RERNQtvGaiC25dvd7Y2KiV/hoaGrTST1/HcdQOjqN2cBy1g+OoHd0dx1t/7+5195aoD/rSV9XV1cjKyhI7BhERUa8aMWIELC0t23ydxUQXqNVq1NbWQi6XQyKRiB2HiIioRwmCgKamJpibm0MqbXuFBIsJIiIi6hZegElERETdwmKCiIiIuoXFBBEREXULiwkiIiLqFhYTRERE1C0sJoiIiKhbWEwQERFRt7CY6AW5ubmIjo5GSEgIoqOjkZeX12YblUqFmJgYBAcHY/bs2YiNje39oDquI+P4wQcfYN68eZg/fz4eeOABHDlypPeD6riOjOMtly5dwujRo7Fx48beC6gnOjqOCQkJCA8PR1hYGMLDw1FWVta7QXVcR8axvLwcy5YtQ3h4OEJDQ7FhwwY0Nzf3flgdtnHjRgQFBcHDw+OeKzT36N8ZgXrco48+KuzevVsQBEHYvXu38Oijj7bZ5rvvvhOWLFkiqFQqoby8XJg6dapQUFDQ21F1WkfG8fDhw0JdXZ0gCIKQnp4u+Pn5CTdu3OjVnLquI+MoCILQ3NwsPPLII8If/vAH4f/+7/96M6Je6Mg4njt3TrjvvvuE0tJSQRAEoaqqSqivr+/VnLquI+P45ptvtvwMNjY2CgsWLBD27t3bqzl13enTp4WioiJh5syZQmZm5l236cm/M5yZ6GHl5eVIS0tDWFgYACAsLAxpaWmoqKhotV1CQgKioqIglUphY2OD4OBg7Nu3T4zIOqmj4zh16lSYmpoCADw8PCAIAiorK3s7rs7q6DgCwCeffIIZM2bA1dW1l1Pqvo6O4+eff44lS5bAzs4OAGBpaQkTE5Nez6urOjqOEokEtbW1UKvVaGxsRFNTExwcHMSIrLP8/f2hUCja3aYn/86wmOhhSqUSDg4OkMlkAACZTAZ7e3solco22zk6OrZ8rlAoUFxc3KtZdVlHx/F2u3fvxuDBgzFo0KDeiqnzOjqOGRkZOHr0KBYvXixCSt3X0XHMyclBQUEBHn74Ydx///3YunXrPZ+62Bd1dBxXrFiB3NxcTJkypeWfn5+fGJH1Wk/+nWExQQbp1KlT+Nvf/oZ3331X7Ch6p6mpCWvXrkVMTEzLL3nqGpVKhczMTHz22Wf44osvcPjwYezZs0fsWHpn37598PDwwNGjR3H48GEkJSVx5lbHsJjoYQqFAiUlJVCpVABu/nIpLS1tMx2lUChQVFTU8rlSqeQ76tt0dBwB4MyZM3jppZfwwQcfwM3Nrbej6rSOjOPVq1eRn5+PZcuWISgoCNu3b8e///1vrF27VqzYOqejP4+Ojo4IDQ2FsbExLCwsMGvWLJw7d06MyDqpo+P45ZdfYv78+ZBKpbC0tERQUBBOnjwpRmS91pN/Z1hM9DBbW1t4eXkhPj4eABAfHw8vLy/Y2Ni02i40NBSxsbFQq9WoqKhAYmIiQkJCxIiskzo6jufOncMLL7yA999/H6NGjRIjqk7ryDg6Ojri5MmTOHToEA4dOoTHH38cDz30EN544w2xYuucjv48hoWF4ejRoy2Pbz5x4gQ8PT3FiKyTOjqOzs7OOHz4MACgsbERv/76K4YPH97refVdT/6d4SPIe0FOTg7WrFmDqqoqWFlZYePGjXBzc8PSpUuxatUq+Pj4QKVS4fXXX8exY8cAAEuXLkV0dLTIyXVLR8bxwQcfRGFhYauLszZt2gQPDw8Rk+uWjozj7bZs2YK6ujqsXr1apMS6qSPjqFarsXHjRhw+fBhSqRRTpkzB6tWrIZXyfdwtHRnH/Px8rF+/HmVlZVCpVJgwYQL+9Kc/wcjISOz4OuPNN9/E/v37UVZWBmtrawwYMAB79+7ttb8zLCaIiIioW1geExERUbewmCAiIqJuYTFBRERE3cJigoiIiLqFxQQRERF1C4sJItJZTz/9NAICAtDY2HjX9pqaGowZMwZr1qzp5WREdDsWE0Sks+6//35cv34dP/30013bf/zxR9y4cQORkZG9G4yIWmExQUQ6a8aMGRgwYAB279591/bdu3fD0dEREyZM6N1gRNQKiwki0lnGxsaYN28ejhw50uax1EVFRTh9+jTmz58PiUQiUkIiAlhMEJGOi4yMRFNTE3744YdWX//+++8hCAJPcRDpABYTRKTTfH19MWzYsDanOvbs2YOxY8di6NCh4gQjohYsJohI50VERODcuXPIzc0FcPPpsJcuXUJERITIyYgIYDFBRHogIiICUqm0ZXZi9+7dMDY2xty5c8UNRkQAWEwQkR5wcHDApEmTEBcXh8bGRiQkJCAoKAj9+/cXOxoRgcUEEemJyMhIFBYWYvPmzbh27RovvCTSIRJBEASxQxARaVJfX4/JkyejtrYWNjY2OHz4MIyMjMSORUTgzAQR6Yl+/fohNDQUgiAgLCyMhQSRDuHMBBEREXULZyaIiIioW1hMEBERUbewmCAiIqJuYTFBRERE3cJigoiIiLqFxQQRERF1C4sJIiIi6hYWE0RERNQtLCaIiIioW/4fgJSDDz0cnRwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(Vgrid[1:], mz_max[1:], label='Максимальное значение $m_z$ при'\n", " '\\n $\\u03b1$ = %5.3f, G = %5.3f, k = %5.3f' % (alpha, G, k))\n", "\n", "plt.xlabel('V', size=16)\n", "plt.ylabel('$m_z(t)^{\\max}$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "63066b7f-ae61-410b-a950-6f0f2678bc0a", "metadata": {}, "source": [ "> ***Рис. 9a. Расчет максимального значения амплитуды проекции намагниченности на ось $z$***" ] }, { "cell_type": "markdown", "id": "41bbeb13-a65c-4e68-920c-71950a5681ca", "metadata": {}, "source": [ "Расчет занимает продолжительное время, поэтому проведем расчеты в параллельном режиме. " ] }, { "cell_type": "markdown", "id": "0a365afb-31da-4982-b71f-0f5d3ac17640", "metadata": {}, "source": [ "__Проведение расчетов в параллельном режиме с использованием библиотеки joblib__\n", "\n", "Для распараллеливания вычислений по параметру $V$ используем функционал библиотеки [joblib](https://joblib.readthedocs.io/en/latest/), которая позволяет с помощью метода _Parallel_ распределить вычисления по заданному количеству физических ядер процесоров ```n_jobs```. Подробное описание возможностей библиотеки представленно в отдельном разле HLIT Jbook." ] }, { "cell_type": "markdown", "id": "136ecd7d-7d1f-4dc7-9507-c4a5935d3882", "metadata": {}, "source": [ "__Подключение библиотеки joblib__" ] }, { "cell_type": "code", "execution_count": 43, "id": "3eda1695-2f15-4c99-ad8b-384bde0420b8", "metadata": { "tags": [] }, "outputs": [], "source": [ "import joblib\n", "from joblib import Parallel, delayed\n", "import time\n", "import os" ] }, { "cell_type": "markdown", "id": "eccd2bec-0c13-4eeb-bc13-df761a934b55", "metadata": {}, "source": [ "__Проверка количества CPU-ядер/потоков__" ] }, { "cell_type": "code", "execution_count": 44, "id": "2374f183-9cbe-4d05-a2f0-4b20e12436a6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of cpu: 80\n" ] } ], "source": [ "print(f\"Number of cpu: {joblib.cpu_count()}\")" ] }, { "cell_type": "code", "execution_count": 45, "id": "a28a4a32-cf4f-42b9-a2a7-787bfe40cc00", "metadata": { "tags": [] }, "outputs": [], "source": [ "mz_max = np.zeros(npoint)" ] }, { "cell_type": "markdown", "id": "49fc1b93-9d82-4e8f-84b1-4a169192b75e", "metadata": {}, "source": [ "__Определим функцию для расчета в параллельном режиме__" ] }, { "cell_type": "code", "execution_count": 46, "id": "8b84cb55-0162-4fa2-bab4-163daafc02bb", "metadata": { "tags": [] }, "outputs": [], "source": [ "def funk_parall(jpar):\n", " V = Vmin + deltaV * jpar\n", " f = partial(my_sfs, G=G, alpha=alpha, k=k, OmegaF=OmegaF, V=V)\n", " t_e = np.linspace(t0, tf, 100000)\n", " s0 = np.array([0, 1, 0])\n", " sol_j = solve_ivp(f, [t0, tf], s0, t_eval=t_e,\n", " method='RK45', rtol=1e-8, atol=1e-9)\n", " crop = sol_j.y[2][6249:]\n", " rezult = np.abs(crop).max()\n", " return rezult" ] }, { "cell_type": "markdown", "id": "10f3f02b-e765-4764-ad92-26174774943e", "metadata": {}, "source": [ "Количество используемых потоков определяется параметров ```n_jobs```. Для использования всех потоков необходимо использовать значение ```n_jobs=-1```, для использования всех потоков, кроме одного, выбирается значение ```n_jobs=-2```.\n", "\n", "Для замеров времени выполнения воспользуемся функцией ```time()``` библиотеки модуля __time__." ] }, { "cell_type": "code", "execution_count": 47, "id": "f9bac927-8080-4802-864b-dde870c089d9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time 84.08039593696594 s\n" ] } ], "source": [ "t_start = time.time()\n", "rez = Parallel(n_jobs=-1)(delayed(funk_parall)(jn) for jn in range(npoint))\n", "t_finish = time.time()\n", "print(f'Execution time {t_finish - t_start} s')" ] }, { "cell_type": "code", "execution_count": 48, "id": "1d5d5221-f1f9-46ee-9c47-fe55d11a3ef4", "metadata": {}, "outputs": [], "source": [ "rez1 = np.array(rez)" ] }, { "cell_type": "code", "execution_count": 49, "id": "99f527c7-f998-4238-81e7-71296bb4ae92", "metadata": {}, "outputs": [], "source": [ "Vgrid = np.zeros(npoint)\n", "for j in range(npoint):\n", " Vgrid[j] = Vmin + deltaV*j" ] }, { "cell_type": "markdown", "id": "93887359-801b-4fa6-87f9-54dfcc74288b", "metadata": {}, "source": [ "Для того, чтобы убедится в правильности проведения расчетов в параллельном режиме построим еще раз полученную зависимость." ] }, { "cell_type": "code", "execution_count": 50, "id": "ff974ab8-83f8-42e3-8766-782ae5539a82", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(Vgrid[1:], rez1[1:], label='Максимальное значение $m_z$ при'\n", " '\\n $\\u03b1$ = %5.3f, G = %5.3f, k = %5.3f' % (alpha, G, k))\n", "plt.xlabel('V', size=16)\n", "plt.ylabel('$m_z(t)^{\\max}$', size=16)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4b69385e-1120-4cfc-9eff-05e9ed2d6c7b", "metadata": {}, "source": [ "> ***Рис. 9b. Расчет максимального значения амплитуды проекции намагниченности на ось $z$ при $\\alpha= 0.3$***" ] }, { "cell_type": "markdown", "id": "6a740e33-da9d-477f-bea7-f82fcf29b745", "metadata": {}, "source": [ "Сравнение времи расчетов в последовательном и параллельных режимах, показывает: при задействовании 80 потоков время вычислений сократилось в 27 раз.\n", "\n", "Далее исследование резонансной физики будем проводить в параллельном режиме." ] }, { "cell_type": "markdown", "id": "1bdffca1-d230-4b3f-b0f9-64a09b1ef939", "metadata": { "tags": [] }, "source": [ "### Численное моделирование: исследование ФМР\n", "\n", "__Сравнение функций максимальной амплитуды осцилляций при различных знчениях параметра диссипации $\\alpha$__\n", "\n", "Покажем проявление ФМР на зависимости максимальной амплитуды осцилляций наномагнита $m_z^{\\max}$ от приложенного к джозефсоновскому переходу напряжения $V$. На Рис. 9 показана зависимость $m_z^{\\max}(V)$ при $\\alpha= 0.3$. Проведем расчеты при малом значении этого параметра - $\\alpha= 0.001$." ] }, { "cell_type": "markdown", "id": "f9cc7a22-8487-4e97-8e5a-4737bc05688d", "metadata": {}, "source": [ "_Расчеты при $\\alpha = 0.001$_" ] }, { "cell_type": "code", "execution_count": 51, "id": "9cde582d-5ced-4d66-98dc-b6bb8aaee196", "metadata": {}, "outputs": [], "source": [ "alpha1 = 0.3\n", "alpha=0.001\n", "alpha2=alpha\n", "\n", "npoint = 200\n", "Vmin = 0\n", "Vmax = 1\n", "\n", "deltaV = (Vmax - Vmin) / npoint\n", "\n", "G = 0.3\n", "k = 0.01\n", "OmegaF = 0.5\n", "t0 = 0\n", "tf = 32000\n", "\n", "mz_max = np.zeros(npoint)" ] }, { "cell_type": "code", "execution_count": 52, "id": "c9e2f136-5646-40f8-926e-05cb5fdf4419", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time 117.30741572380066 s\n" ] } ], "source": [ "t_start = time.time()\n", "rez2 = Parallel(n_jobs=30)(delayed(funk_parall)(jn) for jn in range(npoint))\n", "t_finish = time.time()\n", "print(f'Execution time {t_finish - t_start} s')" ] }, { "cell_type": "code", "execution_count": 53, "id": "4b343ea8-d4cb-4adc-933f-c4bfa3e0332d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.plot(Vgrid[1:], rez2[1:], label='Максимальное значение $m_z$ '\n", " 'при \\n $\\u03b1$=%5.3f, G = %5.3f, k = %5.3f' % (alpha1, G, k))\n", "\n", "plt.xlabel('V', size=16)\n", "plt.ylabel('$m_z(t)^{\\max}$', size=16)\n", "plt.legend(fontsize=12, bbox_to_anchor=(0.51,1))" ] }, { "cell_type": "markdown", "id": "a1caaf9c-d29f-412d-81c1-e7e7a47643da", "metadata": {}, "source": [ "> ***Рис. 10. Расчет максимального значения амплитуды проекции намагниченности на ось $z$ при $\\alpha= 0.001$***" ] }, { "cell_type": "markdown", "id": "89ccde8d-a399-4ff5-b0af-b37b509becc3", "metadata": {}, "source": [ "Покажем проявление ФМР на зависимости максимальной амплитуды осцилляций наномагнита $m_z^{\\max}$ от приложенного к джозефсоновскому переходу напряжения $V$" ] }, { "cell_type": "code", "execution_count": 54, "id": "b9db0f44-2a08-4486-aba3-d4b8762e7864", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.25, '$G$=0.300, k=0.010')" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(figsize=(8, 6))\n", "ax2 = ax1.twinx()\n", "\n", "line1, = ax1.plot(Vgrid[1:], rez1[1:],\n", " label=r'$ \\alpha$ = %5.3f' % alpha1, color='r')\n", "line2, = ax2.plot(Vgrid[1:], rez2[1:],\n", " label=r'$ \\alpha$ = %5.3f' % alpha2)\n", "\n", "ax1.set_ylabel(r'$m_z^{\\max}, \\alpha$ = %5.3f' % alpha1)\n", "ax2.set_ylabel(r'$m_z^{\\max}, \\alpha$ = %5.3f' % alpha2)\n", "\n", "ax1.set_xlabel('V', size=16)\n", "\n", "plt.grid(False)\n", "\n", "ax2.legend(handles=[line1, line2])\n", "\n", "plt.text(0,0.25, 'G = %5.3f, k = %5.3f' % (G, k), backgroundcolor='0.8')" ] }, { "cell_type": "markdown", "id": "c5bd0dd8-c361-4f5b-9c40-27231b8a5ff1", "metadata": {}, "source": [ "> ***Рис. 11. Зависимости $m_z^{\\max}(V)$ при различных значениях параметра диссипации***" ] }, { "cell_type": "markdown", "id": "5195728f-222c-4efc-a619-d9ee830b89c0", "metadata": {}, "source": [ "Из Рис. 11 видно заметное уширение резонансного пика вызванное увеличение диссипации $\\alpha$. Отметим также, что с увеличением диссипации усиливается проявление нелинейности уравнений, максимум пика смещается влево и он становится заметно ассиметричным." ] }, { "cell_type": "markdown", "id": "f9e46774-a627-4ad0-b95a-f96b0e1ccc88", "metadata": {}, "source": [ "Расчеты при различных значениях параметра $G$ и фиксированных значениях остальных параметров.\n", "\n", "__Покажем влияние отношения джозефсоновской энергии к энергии наномагнита $G$ на ширину ФМР для $m_z^{\\max}$__" ] }, { "cell_type": "markdown", "id": "52aaa2a0-ef43-48f8-b402-9e6d38068468", "metadata": {}, "source": [ "__Расчеты при $G = 0.1$__" ] }, { "cell_type": "code", "execution_count": 55, "id": "5680b2cf-189d-4ac6-8a29-72a1c0a59650", "metadata": {}, "outputs": [], "source": [ "G = 0.1\n", "G1 = G\n", "\n", "npoint = 200\n", "Vmin = 0\n", "Vmax = 1\n", "\n", "deltaV = (Vmax-Vmin) / npoint\n", "\n", "alpha = 0.1\n", "k = 0.01\n", "OmegaF = 0.5\n", "t0 = 0\n", "tf = 32000\n", "\n", "mz_max = np.zeros(npoint)" ] }, { "cell_type": "code", "execution_count": 56, "id": "a753f2be-18b4-4b85-8189-2cd28a0ac3d8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time 91.79850482940674 s\n" ] } ], "source": [ "t_start = time.time()\n", "rez_G1 = Parallel(n_jobs=30)(delayed(funk_parall)(jn) for jn in range(npoint))\n", "t_finish = time.time()\n", "print(f'Execution time {t_finish - t_start} s')" ] }, { "cell_type": "markdown", "id": "a0fb0825-96e8-45b1-816b-a0969cf08871", "metadata": {}, "source": [ "__Расчеты при $G = 3\\pi$__" ] }, { "cell_type": "code", "execution_count": 57, "id": "b6f1d252-e630-4006-bce6-4b59d3446ca8", "metadata": {}, "outputs": [], "source": [ "G = 3*np.pi\n", "G2 = G\n", "\n", "npoint = 200\n", "Vmin = 0\n", "Vmax = 1\n", "\n", "deltaV = (Vmax-Vmin) / npoint\n", "\n", "alpha = 0.1\n", "k = 0.01\n", "OmegaF = 0.5\n", "t0 = 0\n", "tf = 32000\n", "\n", "mz_max = np.zeros(npoint) # massiv max value mz" ] }, { "cell_type": "code", "execution_count": 58, "id": "9d853b89-7c46-4aab-b846-9f4e642613ed", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Execution time 187.17759370803833 s\n" ] } ], "source": [ "t_start = time.time()\n", "rez_G2 = Parallel(n_jobs=30)(delayed(funk_parall)(jn) for jn in range(npoint))\n", "t_finish = time.time()\n", "print(f'Execution time {t_finish - t_start} s')" ] }, { "cell_type": "code", "execution_count": 1, "id": "be6b205e-97a3-40a6-9234-9ec444ff26e5", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'plt' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Input \u001b[0;32mIn [1]\u001b[0m, in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0m fig, ax1 \u001b[38;5;241m=\u001b[39m \u001b[43mplt\u001b[49m\u001b[38;5;241m.\u001b[39msubplots(figsize\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m, \u001b[38;5;241m6\u001b[39m))\n\u001b[1;32m 2\u001b[0m ax2 \u001b[38;5;241m=\u001b[39m ax1\u001b[38;5;241m.\u001b[39mtwinx()\n\u001b[1;32m 4\u001b[0m line1, \u001b[38;5;241m=\u001b[39m ax1\u001b[38;5;241m.\u001b[39mplot(Vgrid[\u001b[38;5;241m1\u001b[39m:], rez_G1[\u001b[38;5;241m1\u001b[39m:], label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mG = \u001b[39m\u001b[38;5;132;01m%5.3f\u001b[39;00m\u001b[38;5;124m'\u001b[39m \u001b[38;5;241m%\u001b[39m G1, color\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mr\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", "\u001b[0;31mNameError\u001b[0m: name 'plt' is not defined" ] } ], "source": [ "fig, ax1 = plt.subplots(figsize=(8, 6))\n", "ax2 = ax1.twinx()\n", "\n", "line1, = ax1.plot(Vgrid[1:], rez_G1[1:], label='G = %5.3f' % G1, color='r')\n", "line2, = ax2.plot(Vgrid[1:], rez_G2[1:], label='G = %5.3f' % G2)\n", "\n", "ax1.set_ylabel(r'$m_z^{\\max}$, G = %5.3f' % G1)\n", "ax2.set_ylabel(r'$m_z^{\\max}$, G = %5.3f' % G2)\n", "\n", "ax1.set_xlabel('V', size=16)\n", "\n", "plt.grid(False)\n", "\n", "ax2.legend(handles=[line1, line2])\n", "\n", "plt.text(0.0, 0.55, r'$\\alpha$ = %5.3f, k = %5.3f' % (alpha, k),\n", " backgroundcolor='0.8')" ] }, { "cell_type": "markdown", "id": "0f2bc8d1-e52c-4c16-9a59-8fa0c22bab97", "metadata": { "tags": [] }, "source": [ "> ***Рис. 12. Зависимости $m_z^{\\max}(V)$ при различных значениях параметра $G$***" ] }, { "cell_type": "markdown", "id": "b8b8d850-3178-47de-8e30-9875bbfe8531", "metadata": {}, "source": [ "На Рис. 12 виден заметный сдвиг максимума резонансного пика влево, вызванный изменение отношения джозефсоновской энергии к магнитной." ] }, { "cell_type": "code", "execution_count": null, "id": "1c247e60-8751-4c31-81b1-2aabed46b02e", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.13" } }, "nbformat": 4, "nbformat_minor": 5 }