{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting started 03: Dynamics\n", "\n", "> Interactive online tutorial:\n", "> [![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/ubermag/oommfc/master?filepath=docs%2Fipynb%2Findex.ipynb)\n", "\n", "The dynamics of magnetisation field $\\mathbf{m}$ is governed by the Landau-Lifshitz-Gilbert (LLG) equation\n", "\n", "$$\\frac{d\\mathbf{m}}{dt} = \\underbrace{-\\gamma_{0}(\\mathbf{m} \\times \\mathbf{H}_\\text{eff})}_\\text{precession} + \\underbrace{\\alpha\\left(\\mathbf{m} \\times \\frac{d\\mathbf{m}}{dt}\\right)}_\\text{damping},$$\n", "\n", "where $\\gamma_{0}$ is the gyromagnetic ratio, $\\alpha$ is the Gilbert damping, and $\\mathbf{H}_\\text{eff}$ is the effective field. It consists of two terms: precession and damping. In this tutorial, we will explore some basic properties of this equation to understand how to define it in simulations.\n", "\n", "We will study the simplest \"zero-dimensional\" case - macrospin. In the first step, after we import necessary modules (`oommfc` and `discretisedfield`), we create the mesh which consists of a single finite cell." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import oommfc as oc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "%matplotlib inline\n", "\n", "# Define a macrospin mesh (i.e. one discretisation cell).\n", "p1 = (0, 0, 0) # first point of the mesh domain (m)\n", "p2 = (1e-9, 1e-9, 1e-9) # second point of the mesh domain (m)\n", "n = (1, 1, 1) # discretisation cell size (m)\n", "\n", "region = df.Region(p1=p1, p2=p2)\n", "mesh = df.Mesh(region=region, n=n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can create a micromagnetic system object." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "system = mm.System(name='macrospin')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us assume we have a simple Hamiltonian which consists of only Zeeman energy term\n", "\n", "$$w = -\\mu_{0}M_\\text{s}\\mathbf{m}\\cdot\\mathbf{H},$$\n", "\n", "where $M_\\text{s}$ is the saturation magnetisation, $\\mu_{0}$ is the magnetic constant, and $\\mathbf{H}$ is the external magnetic field. We apply the external magnetic field with magnitude $H = 2 \\times 10^{6} \\,\\text{A}\\,\\text{m}^{-1}$ in the positive $z$ direction." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "H = (0, 0, 2e6) # external magnetic field (A/m)\n", "system.energy = mm.Zeeman(H=H)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the next step we can define the system's dynamics. Let us assume we have $\\gamma_{0} = 2.211 \\times 10^{5} \\,\\text{m}\\,\\text{A}^{-1}\\,\\text{s}^{-1}$ and $\\alpha=0.1$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "gamma0 = 2.211e5 # gyromagnetic ratio (m/As)\n", "alpha = 0.1 # Gilbert damping\n", "\n", "system.dynamics = mm.Precession(gamma0=gamma0) + mm.Damping(alpha=alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To check what is our dynamics equation:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$-\\frac{\\gamma_{0}}{1 + \\alpha^{2}} \\mathbf{m} \\times \\mathbf{H}_\\text{eff}-\\frac{\\gamma_{0} \\alpha}{1 + \\alpha^{2}} \\mathbf{m} \\times (\\mathbf{m} \\times \\mathbf{H}_\\text{eff})$" ], "text/plain": [ "Precession(gamma0=221100.0) + Damping(alpha=0.1)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we start running time evolution simulations, we need to initialise the magnetisation. In this case, our magnetisation is pointing in the positive $x$ direction with $M_\\text{s} = 8 \\times 10^{6} \\,\\text{A}\\,\\text{m}^{-1}$. The magnetisation is defined using `Field` class from the `discretisedfield` package we imported earlier." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "initial_m = (1, 0, 0) # vector in x direction\n", "Ms = 8e6 # magnetisation saturation (A/m)\n", "\n", "system.m = df.Field(mesh, dim=3, value=initial_m, norm=Ms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can run the time evolution using `TimeDriver` for $t=0.1 \\,\\text{ns}$ and save the magnetisation configuration in $n=200$ steps." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2020/03/06 14:30: Running OOMMF (macrospin.mif) ... (1.5 s)\n" ] } ], "source": [ "td = oc.TimeDriver()\n", "td.drive(system, t=0.1e-9, n=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How different system parameters vary with time, we can inspect by showing the system's datatable." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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EE_calc_countmax_dm/dtdE/dtdelta_EE_zeemaniterationstage_iterationstagemxmymzlast_time_stept
0-4.400762e-2237.025204.415522-8.798712e-10-3.269612e-22-4.400762e-226.06.00.00.9759010.2171150.0218883.715017e-135.000000e-13
1-8.797309e-2244.025186.311578-8.786077e-10-4.396547e-22-8.797309e-228.01.01.00.9048100.4235620.0437545.000000e-131.000000e-12
2-1.318544e-2151.025156.186455-8.765071e-10-4.388134e-22-1.318544e-2110.01.02.00.7902860.6092180.0655795.000000e-131.500000e-12
3-1.756100e-2158.025114.112032-8.735776e-10-4.375555e-22-1.756100e-2112.01.03.00.6380550.7650210.0873415.000000e-132.000000e-12
4-2.191985e-2165.025060.188355-8.698302e-10-4.358857e-22-2.191985e-2114.01.04.00.4557100.8834270.1090205.000000e-132.500000e-12
.............................................
195-2.009865e-201402.0690.438568-6.602614e-13-3.374608e-25-2.009865e-20396.01.0195.00.013011-0.0240990.9996255.000000e-139.800000e-11
196-2.009897e-201409.0675.493807-6.319876e-13-3.230101e-25-2.009897e-20398.01.0196.00.017545-0.0202510.9996415.000000e-139.850000e-11
197-2.009928e-201416.0660.872303-6.049242e-13-3.091780e-25-2.009928e-20400.01.0197.00.021059-0.0156120.9996565.000000e-139.900000e-11
198-2.009958e-201423.0646.567078-5.790193e-13-2.959381e-25-2.009958e-20402.01.0198.00.023428-0.0104350.9996715.000000e-139.950000e-11
199-2.009986e-201430.0632.571305-5.542233e-13-2.832649e-25-2.009986e-20404.01.0199.00.024591-0.0049880.9996855.000000e-131.000000e-10
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200 rows × 14 columns

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" ], "text/plain": [ " E E_calc_count max_dm/dt dE/dt delta_E \\\n", "0 -4.400762e-22 37.0 25204.415522 -8.798712e-10 -3.269612e-22 \n", "1 -8.797309e-22 44.0 25186.311578 -8.786077e-10 -4.396547e-22 \n", "2 -1.318544e-21 51.0 25156.186455 -8.765071e-10 -4.388134e-22 \n", "3 -1.756100e-21 58.0 25114.112032 -8.735776e-10 -4.375555e-22 \n", "4 -2.191985e-21 65.0 25060.188355 -8.698302e-10 -4.358857e-22 \n", ".. ... ... ... ... ... \n", "195 -2.009865e-20 1402.0 690.438568 -6.602614e-13 -3.374608e-25 \n", "196 -2.009897e-20 1409.0 675.493807 -6.319876e-13 -3.230101e-25 \n", "197 -2.009928e-20 1416.0 660.872303 -6.049242e-13 -3.091780e-25 \n", "198 -2.009958e-20 1423.0 646.567078 -5.790193e-13 -2.959381e-25 \n", "199 -2.009986e-20 1430.0 632.571305 -5.542233e-13 -2.832649e-25 \n", "\n", " E_zeeman iteration stage_iteration stage mx my \\\n", "0 -4.400762e-22 6.0 6.0 0.0 0.975901 0.217115 \n", "1 -8.797309e-22 8.0 1.0 1.0 0.904810 0.423562 \n", "2 -1.318544e-21 10.0 1.0 2.0 0.790286 0.609218 \n", "3 -1.756100e-21 12.0 1.0 3.0 0.638055 0.765021 \n", "4 -2.191985e-21 14.0 1.0 4.0 0.455710 0.883427 \n", ".. ... ... ... ... ... ... \n", "195 -2.009865e-20 396.0 1.0 195.0 0.013011 -0.024099 \n", "196 -2.009897e-20 398.0 1.0 196.0 0.017545 -0.020251 \n", "197 -2.009928e-20 400.0 1.0 197.0 0.021059 -0.015612 \n", "198 -2.009958e-20 402.0 1.0 198.0 0.023428 -0.010435 \n", "199 -2.009986e-20 404.0 1.0 199.0 0.024591 -0.004988 \n", "\n", " mz last_time_step t \n", "0 0.021888 3.715017e-13 5.000000e-13 \n", "1 0.043754 5.000000e-13 1.000000e-12 \n", "2 0.065579 5.000000e-13 1.500000e-12 \n", "3 0.087341 5.000000e-13 2.000000e-12 \n", "4 0.109020 5.000000e-13 2.500000e-12 \n", ".. ... ... ... \n", "195 0.999625 5.000000e-13 9.800000e-11 \n", "196 0.999641 5.000000e-13 9.850000e-11 \n", "197 0.999656 5.000000e-13 9.900000e-11 \n", "198 0.999671 5.000000e-13 9.950000e-11 \n", "199 0.999685 5.000000e-13 1.000000e-10 \n", "\n", "[200 rows x 14 columns]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.table" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, in our case it is much more informative if we plot the time evolution of magnetisation $z$ component $m_{z}(t)$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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JeVw8fZjX5YhInFKgx4D/WPkRLYEgty+ejpmeDSoi3aNA99jqXQd5al0V139+PONy+3tdjojEMQW6hwJtQW5bEToR+qPzJ3pdjojEOQW6h9qfCM1KT/G6HBGJcwp0j9QebtGJUBGJKgW6R+5+7R80+dv4xZeKdCJURKJCge6BnTWHeeT9cpbMHc3E/AFelyMiCUKB7oHfvPgRGak+/tcFuiNURKInokA3s0Vmts3MtpvZLSdp83Uz22Jmm83s0eiWmTjWlB3kpc37+OF5E8jLzvC6HBFJIF3eY25mKcA9wIVAJbDGzEqcc1vatZkE3Aqc45yrM7P83io4njnn+D/Pb2XYwAy+f+54r8sRkQQTyRH6PGC7c26nc64VeBy4vEObHwD3OOfqAJxz+6NbZmJ4fuMe1lfU85OLpugyRRGJukgCfRRQ0W6+MrysvcnAZDN7x8xWmdmizjZkZtebWamZldbU1HSv4jjVEmjjP1/cxtTh2Xx1ToHX5YhIAorWSdFUYBKwALgK+G8zy+nYyDm31DlX7JwrzsvLi9Jbx4dHVpVTfrCJWy+dRopPlymKSPRFEuhVwOh28wXhZe1VAiXOOb9zbhfwMaGAF6CpNcC9b2zn7AlDOW9ycv1HJiJ9J5JAXwNMMrNxZpYOLAFKOrR5htDROWaWS6gLZmcU64xrD767mwOHW/nJRVO8LkVEEliXge6cCwA3AS8BW4HlzrnNZnaHmS0ON3sJqDWzLcDrwM+cc7W9VXQ8aWz284e/72DBlDzOGKvHyolI74no0TjOuZXAyg7Lbms37YCbwy9pZ9k7ZdQ3+bn5Qt1EJCK9S3eK9qKGo37++62dXDBtGKcVfOocsYhIVCnQe9Ef39rJoeaAjs5FpE8o0HtJ3ZFWHninjEtnDqdo5ECvyxGRJKBA7yVL39rJkdaABuASkT6jQO8FtYdbWPZOGYtnjWTysGyvyxGRJKFA7wV/eqeM5kAbP/6C7q0Skb6jQI+yQ81+HnyvjEtmDNfDK0SkTynQo+zhVbtpbA5w44KJXpciIklGgR5FR1vb+ONbu/j85DxmjBrkdTkikmQU6FG0vLSC2iOt/GjBBK9LEZEkpECPEn9bkKV/30nx2MHMGzfE63JEJAkp0KNkxfpqquqP8qPzJ2Km8c5FpO8p0KOgLei4943tTBsxkAVTNN65iHhDgR4FL2/ey86aI9y4YIKOzkXEMwr0HnLO8fs3d1A4tB+XzhzhdTkiksQU6D20pqyODysb+P654/WsUBHxlAK9h+5/ayc5/dL46pwCr0sRkSSnQO+BsgNHeGXrPq4+cyxZ6SlelyMiSU6B3gN/emcXqT7jO2eN9boUEREFenc1NPlZXlrJ4lmjyB+Y6XU5IiIK9O56dHU5R/1tXPe5cV6XIiICKNC7pTUQZNm7uzhn4lA9Xk5EYoYCvRtWbtzDvkMtfP9z470uRUTkOAX6KXLOcf/bO5mQ15/zJus2fxGJHQr0U/T+roNsqjrEdZ8bj083EolIDFGgn6IH3y0jp18aX549yutSREROoEA/BXsajvLyln18o3i0biQSkZijQD8Fj75fTtA5rp6vG4lEJPYo0CPUEmjjsdXlfGFKPqOH9PO6HBGRT1GgR+jFTXs5cLiVb+s2fxGJUQr0CD303m4Kh/bj85N0qaKIxKaIAt3MFpnZNjPbbma3fEa7r5qZM7Pi6JXovU1VDazdXcfV88fqUkURiVldBrqZpQD3AJcARcBVZlbUSbts4J+A96NdpNf+/N5ustJSuPKM0V6XIiJyUpEcoc8DtjvndjrnWoHHgcs7afcr4DdAcxTr81x9UyvPrK/iitkjGdQvzetyREROKpJAHwVUtJuvDC87zszmAKOdc89/1obM7HozKzWz0pqamlMu1gtPlFbSEgjy7fmFXpciIvKZenxS1Mx8wO+An3TV1jm31DlX7JwrzsuL/ZOLwaDjz6t2M69wiEZVFJGYF0mgVwHtO48LwsuOyQZmAG+YWRkwHyhJhBOj7+w4QPnBJr41f4zXpYiIdCmSQF8DTDKzcWaWDiwBSo6tdM41OOdynXOFzrlCYBWw2DlX2isV96HHVpczuF8aF08f7nUpIiJd6jLQnXMB4CbgJWArsNw5t9nM7jCzxb1doFdqGlt4efM+vjqngMw0jdsiIrEvNZJGzrmVwMoOy247SdsFPS/Le0+urSQQdCyZp+4WEYkPulO0E8Gg47HV5Zw5bggT8wd4XY6ISEQU6J14d0ct5Qeb+OaZOjoXkfihQO/EY6vLydHJUBGJMwr0DmoaW3hp816dDBWRuKNA7+CvH4ROhl41T+O2iEh8UaC3Eww6Hl9dzrzCIUzMz/a6HBGRU6JAb+e9nbWU1TZx1Zk6OheR+KNAb+fxNRUMykrjkhkjvC5FROSUKdDDGpr8vLR5L5efPlInQ0UkLinQw0o+rKY1ENRDLEQkbinQw54srWDq8GxmjNIwuSISnxTowMf7GtlQ2cDXzijATM8MFZH4pEAHniitINVnfHn2qK4bi4jEqKQPdH9bkKfXVfGFqfkMHZDhdTkiIt2W9IH+xrYaDhxu5cpinQwVkfiW9IH+RGkFuQPSWTAl9p9xKiLyWZI60A8cbuFvH+3nK3MKSEtJ6n8KEUkASZ1iz6yrIhB0XHlGgdeliIj0WNIGunOOJ9dWMmt0DpOGaSAuEYl/SRvom6oO8dHeRh2di0jCSNpAf2JtBRmpPi6bNdLrUkREoiIpA73Z38aK9dVcPH04g7LSvC5HRCQqkjLQX9myj4ajfq4sVneLiCSOpAz0v35QychBmZw9IdfrUkREoibpAr2msYW3/nGAK2aPIsWngbhEJHEkXaCXbKimLeg0EJeIJJykC/Sn11UyY9RAXXsuIgknqQL9H/sa2VR1iC/P1slQEUk8SRXoT6+rIsVnLNa15yKSgJIm0INBx4r11Zw7KZe8bI17LiKJJ2kC/f1dB6mqP6qToSKSsJIm0J9eV0n/9BQuKhrudSkiIr0iokA3s0Vmts3MtpvZLZ2sv9nMtpjZh2b2mpmNjX6p3dfsb+OFjXtZNGMEWekpXpcjItIrugx0M0sB7gEuAYqAq8ysqEOzdUCxc+404EngP6NdaE+8unUfjS0BvjJH3S0ikrgiOUKfB2x3zu10zrUCjwOXt2/gnHvdOdcUnl0FxNR1gU9/UMXwgZnMHz/U61JERHpNJIE+CqhoN18ZXnYy1wEvdLbCzK43s1IzK62pqYm8yh6oPdzCmx/XcPnskbrVX0QSWlRPiprZ1UAxcGdn651zS51zxc654ry8vnko87MbqgkEHV/RzUQikuBSI2hTBYxuN18QXnYCM7sA+DlwnnOuJTrl9dzT66qYNmIgU4brVn8RSWyRHKGvASaZ2TgzSweWACXtG5jZbOAPwGLn3P7ol9k9O2oOs6Gyga/o2nMRSQJdBrpzLgDcBLwEbAWWO+c2m9kdZrY43OxOYADwhJmtN7OSk2yuTz39QRU+g8tP163+IpL4IulywTm3EljZYdlt7aYviHJdPeacY8WGKs6ZmEv+wEyvyxER6XUJe6fouop6Kg4e5fLT1d0iIskhYQO9ZH016ak+Lp4+zOtSRET6REIGeqAtyHMf7mHh1HyyM9O8LkdEpE8kZKC/t7OWA4dbNO65iCSVhAz0kvXVZGekcv7UfK9LERHpMwkX6M3+Nl7ctJeLpg8nM00jK4pI8ki4QH9jWw2NLQFdey4iSSfhAr1kQxW5A9I5e4JGVhSR5JJQgd7Y7Oe1rfv54swRpKYk1K6JiHQpoVLv5c37aAkEWazuFhFJQgkV6CUbqikYnMWcMYO9LkVEpM8lTKDXHm7h7e0HuGzWSMz0IAsRST4JE+grN+6hLeh0dYuIJK2ECfQV66uZPGwAU4cP9LoUERFPJESgV9Y1Ubq7TiMrikhSS4hAf3bDHgAuO03dLSKSvBIi0Fesr2L2mBzGDO3ndSkiIp6J+0D/eF8jH+1t1MiKIpL04j7QS9ZX4zP44mkjvC5FRMRTcR3ozjlKNlRz9oRc8rP13FARSW5xHejrK+opP9ikW/1FRIjzQC/ZUE16io+Lpw/3uhQREc/FbaC3BR3PfbiH86fmMShLzw0VEYnbQF+1s5aaxhYWz9LNRCIiEMeBvmJ9Ff3TU1g4Tc8NFRGBOA30lkAbL2zay8V6bqiIyHFxGehvbKuhsTmgq1tERNqJy0Av2VDNkP7pnDMx1+tSRERiRtwF+uGWAK9u2ccXZ44gTc8NFRE5Lu4S8ZUte2kJBPUgCxGRDuIu0AdkpHFR0TA9N1REpIOIAt3MFpnZNjPbbma3dLI+w8z+El7/vpkVRrvQYy4sGsbS7xTj8+m5oSIi7XUZ6GaWAtwDXAIUAVeZWVGHZtcBdc65icBdwG+iXaiIiHy2SI7Q5wHbnXM7nXOtwOPA5R3aXA48GJ5+ElhoZjqEFhHpQ5EE+iigot18ZXhZp22ccwGgARjacUNmdr2ZlZpZaU1NTfcqFhGRTvXpSVHn3FLnXLFzrjgvL68v31pEJOFFEuhVwOh28wXhZZ22MbNUYBBQG40CRUQkMpEE+hpgkpmNM7N0YAlQ0qFNCXBNePprwN+ccy56ZYqISFdSu2rgnAuY2U3AS0AK8IBzbrOZ3QGUOudKgD8Cfzaz7cBBQqEvIiJ9qMtAB3DOrQRWdlh2W7vpZuDK6JYmIiKnwrzqGTGzGmB3N741FzgQ5XJinfY5OWifk0dP9nusc67Tq0o8C/TuMrNS51yx13X0Je1zctA+J4/e2u+4G8tFREQ6p0AXEUkQ8RjoS70uwAPa5+SgfU4evbLfcdeHLiIinYvHI3QREemEAl1EJEHEbKDH0kM1+koE+3yzmW0xsw/N7DUzG+tFndHU1T63a/dVM3NmFveXuEWyz2b29fBnvdnMHu3rGqMtgp/tMWb2upmtC/98X+pFndFkZg+Y2X4z23SS9WZmd4f/TT40szk9flPnXMy9CA0xsAMYD6QDG4CiDm1uBO4LTy8B/uJ13X2wz+cD/cLTNyTDPofbZQN/B1YBxV7X3Qef8yRgHTA4PJ/vdd19sM9LgRvC00VAmdd1R2G/Pw/MATadZP2lwAuAAfOB93v6nrF6hJ6MD9Xocp+dc68755rCs6sIjXwZzyL5nAF+RegpWM19WVwviWSffwDc45yrA3DO7e/jGqMtkn12wMDw9CCgug/r6xXOub8TGtvqZC4HHnIhq4AcMxvRk/eM1UCP2kM14kgk+9zedYT+d49nXe5z+M/Q0c655/uysF4Uyec8GZhsZu+Y2SozW9Rn1fWOSPb5duBqM6skNG7Uj/umNE+d6u98lyIanEtii5ldDRQD53ldS28yMx/wO+C7HpfS11IJdbssIPRX2N/NbKZzrt7TqnrXVcAy59z/M7OzCI3eOsM5F/S6sHgSq0foyfhQjUj2GTO7APg5sNg519JHtfWWrvY5G5gBvGFmZYT6GUvi/MRoJJ9zJVDinPM753YBHxMK+HgVyT5fBywHcM69B2QSGsAqkUX0O38qYjXQk/GhGl3us5nNBv5AKMzjvV8Vuthn51yDcy7XOVfonCskdN5gsXOu1JtyoyKSn+1nCB2dY2a5hLpgdvZlkVEWyT6XAwsBzGwaoUBP9AcPlwDfCV/tMh9ocM7t6dEWvT4T/BlniC8ldGSyA/h5eNkdhH6hIfSBPwFsB1YD472uuQ/2+VVgH7A+/Crxuube3ucObd8gzq9yifBzNkJdTVuAjcASr2vug30uAt4hdAXMeuAir2uOwj4/BuwB/IT+6roO+CHww3af8z3hf5ON0fjZ1q3/IiIJIla7XERE5BQp0EVEEoQCXUQkQSjQRUQShAJdRCRCXQ241Y3tvWhm9Wb2XIfl48KDDm4PD0KYHsn2FOgi7ZhZjpnd6HUdErOWAdEciuFO4NudLP8NcJdzbiJQR+iSxy4p0EVOlENoJE+RT3GdDLhlZhPCR9przewtM5t6Ctt7DWjssD0DvkBo0EEIDUJ4RSTbU6CLnOg/gAlmtt7M7vS6GIkLS4EfO+fOAH4K3NvD7Q0F6l1o0EE4hUG7NDiXyIluAWY45073uhCJfWY2ADgbeKLd6N0Z4XVfIXQ3bEdVzrnH2DoAAADNSURBVLmLe6MeBbqISPf5CB1Nf+oAwDn3FPBUN7ZZS2hs9NTwUXrEg3apy0VEpJucc4eAXWZ2JRx/rNysHm7TAa8TGnQQQoMQrojkexXoIidqJDRsr8inmNljwHvAFDOrNLPrgG8B15nZBmAznT9162Tbe4vQIIMLw9s71hXzL8DNZradUJ/6HyPangbnEjlR+KHMpwEvOOd+5nU9IpFSoIuIJAh1uYiIJAgFuohIglCgi4gkCAW6iEiCUKCLiCQIBbqISIJQoIuIJIj/DwTEN1iCgzHRAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "system.table.plot('t', 'mz');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can plot all three magnetisation components" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "system.table.plot('t', ['mx', 'my', 'mz']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that after some time the macrospin aligns parallel to the external magnetic field in the $z$ direction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "\n", "By looking at the previous example, explore the magnetisation dynamics for $\\alpha=0.005$ in the following code cell." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2020/03/06 14:30: Running OOMMF (macrospin.mif) ... (1.6 s)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Uncomment and modify the value of Gilbert damping in the following line.\n", "# system.dynamics.damping.alpha = 1\n", "system.m = df.Field(mesh, dim=3, value=initial_m, norm=Ms)\n", "\n", "td.drive(system, t=0.1e-9, n=200)\n", "\n", "system.table.plot('t', ['mx', 'my', 'mz']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2\n", "\n", "Repeat the simulation with $\\alpha=0.1$ and $\\mathbf{H} = (0, 0, -2\\times 10^{6})\\,\\text{A}\\,\\text{m}^{-1}$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2020/03/06 14:30: Running OOMMF (macrospin.mif) ... (1.5 s)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Uncomment and modify the value in the following line\n", "# system.hamiltonian.zeeman.H = (0, 0, -2e6)\n", "system.dynamics.damping.alpha = 0.1\n", "system.m = df.Field(mesh, dim=3, value=initial_m, norm=Ms)\n", "\n", "td.drive(system, t=0.1e-9, n=200)\n", "\n", "system.table.plot('t', ['mx', 'my', 'mz']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3\n", "\n", "Keep using $\\alpha=0.1$. Change the field from `H = (0, 0, -2e6)` to `H = (0, -1.41e6, -1.41e6)`, and plot\n", "$m_x(t)$, $m_y(t)$ and $m_z(t)$ as above. Can you explain the (initially non-intuitive) output?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2020/03/06 14:30: Running OOMMF (macrospin.mif) ... (1.6 s)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Uncomment and modify the value in the following line.\n", "# system.hamiltonian.zeeman.H = (0, 0, 0)\n", "\n", "td.drive(system, t=0.1e-9, n=200)\n", "\n", "system.table.plot('t', ['mx', 'my', 'mz']);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "td.delete(system)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.6" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }