{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# First OOMMFC notebook\n", "\n", "After testing the installation of both OOMMF Calculator and OOMMF (on host machine or Docker), we can now run the first Jupyter notebook.\n", "\n", "## Running Jupyter notebook\n", "\n", "The Jupyter notebook can be started by executing\n", "```\n", "jupyter notebook\n", "```\n", "command in your terminal (command prompt). A detailed documentation of all powerful Jupyter notebook features can be found at the Project Jupyter website: http://jupyter.org\n", "\n", "However, all you need to know to execute your first OOMMFC notebook is that individual cells containing Python code are executed by pressing `Shift` + `Return`. \n", "\n", "**Note:** If you are reading this notebook online (as a part of OOMMFC documentation), you can download the file linked to this URL on your machine:\n", "\n", "https://raw.githubusercontent.com/joommf/oommfc/master/docs/ipynb/first_oommfc_notebook.ipynb\n", "\n", "Alternatively, you can download the entire repository from GitHub from:\n", "\n", "https://github.com/joommf/oommfc/archive/master.zip\n", "\n", "unzip the downloaded file, and access all notebooks in `docs/ipynb` (navigate to this directory and run `jupyter notebook` in it).\n", "\n", "## Simple micromagnetic problem\n", "\n", "As the first step, we need to import `oommfc` and `discretisedfield`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import oommfc as oc\n", "import discretisedfield as df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we create a very simple system object and provide:\n", "\n", "- Hamiltonian,\n", "- dynamics, and\n", "- magnetisation configuration." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "system = oc.System(name=\"first_notebook\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define the mesh by providing two points between which the domain spans as well as the size of the discretisation cell." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "L = 100e-9\n", "d = 10e-9\n", "mesh = oc.Mesh(p1=(0, 0, 0), p2=(L, L, L), cell=(d, d, d))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our Hamiltonian contains only exchange, demagnetisation, and Zeeman energy terms. We will apply the external magnetic field in the \"x\" direction, because that allows us to easily predict the equilibrium state of such micromagnetic system." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "A = 1e-12\n", "H = (8e6, 0, 0)\n", "system.hamiltonian = oc.Exchange(A=A) + oc.Demag() + oc.Zeeman(H=H)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dynamics of the system is governed by the LLG equation containing precession and damping terms." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "alpha = 0.2\n", "system.dynamics = oc.Precession(gamma=oc.gamma0) + oc.Damping(alpha=alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We initialise the system in (0, 0, 1) direction, which is clearly different from our expected equlibrium state." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "system.m = df.Field(mesh, value=(0, 1, 0), norm=8e6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can check the characteristics of the system we defined" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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42te+xmuvvUZJSQnV1dVcdtllLFmyRDvmO9/5DldeeSVf+cpXaGhoYOnSpU8A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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "mesh" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\mathcal{H}=A (\\nabla \\mathbf{m})^{2}-\\frac{1}{2}\\mu_{0}M_\\text{s}\\mathbf{m} \\cdot \\mathbf{H}_\\text{d}-\\mu_{0}M_\\text{s} \\mathbf{m} \\cdot \\mathbf{H}$" ], "text/plain": [ "Exchange(A=1e-12, name=\"exchange\") + Demag(name=\"demag\") + Zeeman(H=(8000000.0, 0, 0), name=\"zeeman\")" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.hamiltonian" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\frac{\\partial \\mathbf{m}}{\\partial t}=-\\gamma_{0}^{*} \\mathbf{m} \\times \\mathbf{H}_\\text{eff}+\\alpha \\mathbf{m} \\times\\frac{\\partial \\mathbf{m}}{\\partial t}$" ], "text/plain": [ "Precession(gamma=221276.14872118403, name=\"precession\") + Damping(alpha=0.2, name=\"damping\")" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.dynamics" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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WpPbtN/eggUnWttlsMG27dy+5VMpc17wNzrIeZdnu9Y6v30Bio60HDUD/z54l\nM3DEVFMzGXr/7cemmgDD23dw9JXfmOvG19kbrAH0PfkzskeHTDVzqTS9Pxw54jNxhrduY+i135rr\nDr2xjmS3rcEaQN9PnrLrOChoTko6yoXyDZQbAnCzGx4msanbswIwJLl5C8Pbt5M+ZDvqkHeitPSg\ngbxTYLupZi6RINndY9+23d0Mb91Gpq9/7MLjIB5Q2yYCcLjMDg2R7Nls3HGQEo/yoCwDZXZoiOGt\n20w9aACvF5XJmDsQ5v8wrAN7vL2DbF8/aYP0/3myvl+QtcFaYqPn8WPetgEYt4H3O8scOkT6gJ3B\nWqa/n9Su3SSMDdYSnRtB1fb6crfek5/8hZGLJxjeus1O17/Qkl2byKXSJpqqWuidWf4xpw/3kt7r\necRY9lDi7Z6xVu7oEMPb7ca98p89sbHLxN8H8m3r9VAtg0T6wEEyvgOlZc+6YLA2cITUrpEr6Sag\nm/8ituw4uEA5+Ym3dxY9NnKzy+UK1qSaTpPssRlHSu/bT6a3D/Bsdq0mSRIdxz53ot3QUrVY1+g2\nWXM5Eh3ebaEOD5PcbLNCLLV7D9kBz9M80d1Dzsho7q1uiYZtW6RlFdi1yNM8F08wvG2bgSjegvNS\njjKh7AKlqlJ94flULphP9SVLic2yMevKDh6l5fZbkGiEhutXIyGbpsslkzTfdgsArR+5i0z/gIlu\nuL6eune/i0hrK3XvvNzMhbFq8WIq5s2lZsUyotNt8nJmjxyh5a47QITGG64HMdoel0rRdMsHAGj9\n8F1kjSbhIk2N1L3zcqLTplK36lIzF8bqi99G7NxzqF25gujUCbsXAJ4bZ+uH/xCAxjU3oDmbbp5b\ncD7JERFqV16KRKOEKiupXW7jOhepn0L1RUsAIdLSTNUF55voVs6dQ3Sm5w5YOX8esWlTTXRr3nYR\n4bpaJByi9tLlZi6MdasuRSIRQlVVZo5+kYYGqhcvAhEira1ULbTZnFU5by6xGV4wr1xwHtE2m6TA\nNRe/jXBtLRIOe9eakQtjoW2rq6m5ZKlBTT2Hy6oLLwAg2tZml0MzJ6UdZcLp3uvtcDgmIVJGvcVS\ncIHS4XCMjzKbqCkFFygdDsc4Ka+JmlJwgdLhcIwf16MsDxpv+ANz5z2AqQ/cZzYpkCc2bSrTHvwk\noaoqU93aFcuoOt8+a13Tmvcjsai57rRPfYKo0WRWnuj0GV7bVtg6XNZcuoKqxYvGLjhOmj6wxt45\nU4RpD34eXV0SAAAgAElEQVTSbJUCAHZ7DSYFZRsoYzOmB6IbhKthqLKSyvPmm+tGGhuJBJARPubP\n0lsTRBuEq6sIB6AbbW6C5iZz3YpZM801RcS2bV3iXofD4Rgb0dKOMXXGcGoVkQoR+b7/+isiMqfo\ntS/757tE5NpSNU8GFygdDsf4MdjCWIpTK3AP0Keq5wF/g+fhjV/uDmAxsBr4WxEJl6g5bsYMlCLy\nGRFxjl4Oh8OaUpxa1wCP+4+fAK4UEfHPf09Vh30bmR5frxTNcVNKj3Iq8KqI/MDv0p5dgxMOh+P3\nGMetd4uIvFZ03F8kM5pT68hB2kIZ3952AGg+wXtL0Rw3Y07mqOp/FZE/A64BPgb8PyLyA+Dbqrp5\nohVwOByTDGU82xMPqeqKAGtzSihpjFK95Hj7/CMDNAJPiMhfB1g3h8NxpmKTZq0Up9ZCGRGJAPXA\n4RO8txTNcVPKGOXnROR14K+B/wAuUtVP4pmM3zLRCjgcjsmH0ax3KU6ta4G7/ce3Ai/4Hbe1wB3+\nrPhcPJvr35SoOW5KWUfZBNysqtuLT6pqTkRumGgFgkJVCWI41elOrrpONt1JU1eDnTklOrV+G/hn\nEekBevECH365HwAdeHe5n1bVLMBomhOt65g9SlX96sggWfSarcGJIcNbt5Hp7TXXHfrt78x9UvK6\n1uRSKeLrN5jrJns2kxmwyZtZTBBtEJRuLpk0t+4ASG7qJjs4aK5r3gZGGc5LcGpNquptqnqeqq5U\n1S1F7/1L/33nq+rTJ9KcKGW7jjK+od3cJwXgyC9+RXrfflPNbDxO30+eNPWgAe+Pbuh3b5pqAiQ2\ntJtmTc8z8PxLpA/aedAAZI8epe+nT9ubgHVtYuiNdaaa4LmHxjvs3UMHfv6cWceh1NvuckrFVraB\nMgg3u8zAEc9YyzgAJzq7yPYPkDL2iY63d5gbrKmq70Bo68KY6esjvWeP+e8s0dFJtq+P1O49prrx\nDR0kOm0N1lQ1EPfQ9KFDpPcfsL1uz7LEvWUZKPMXhqUHDRzziLG+kBMBOAVqLkeivRNNJs08aADS\n+w+QOXSY5KZucqmUmW7BXCwgF0ZLXc/jp5PcUJzhbaOOSp0U6T17yfb3k+jaZGawBsfMxSy/hFyP\nsgwo3BZms57FrBH5P7rhbdvJHh0y0dRs1nONxPaPObV7D9kjR3xde3MxTWdIdtsYrMGxOia3bCUb\nT5hoaiZDYuMmwPZLaHj7DnJDQ+a6eS0dHibZY7dEOf8Fb9pxcC6Mk594ewcSjSKxmJmdaC6d9qxv\nRZBo1MyBcHjrtsKtcfrQYTJ9/Sa68Q3tSCwG4TCJjRvNxuji7Z2FtrXqoeSGhwvWtxKJkNhoM0aX\n3Lyl4HCV3n+AzBEbc7FEe4fXtpFI4UvORLejE4lGvLY1CsC5RILULm9IR8Jhm46DG6Oc/KgqTTff\nROWC+dQsX8aU973XRjeVZsaffAGJRGi+/RYq5pxrohtuaKDtvo8DMOOLD5k5ENZcspT6q68k2tpC\n2333gIVToCrNt91Cxdw51K66lCnvedfEK4rXO5355S9BKETLnbdTYeScGWluou2ejwIw44+/YNbD\nqVmxnCnvfQ+xqW20fewjZi6MzXd+kNg551D39suoe8flBjX1etUzv/zHALR86M6C2drEhUs8yoSy\nC5Qi8hYnQytXw3BNNZEpU7wnoZBZ8t5oSzMS9ZLghioriTTUm+gWf+5oS7OZC2MgbVtbQ7iuznsS\nChu2bQsS8RwSQ1VVROqnmOjGpk0trEmMtraauTDG8ha1Yti2dXWEamo82XCYaKtN20qutKNcKLtA\n6XA4HNaUbYZzh8MRIGV0W10KLlA6HI7xUWYTNaVQxoFSIIj1rkGtoZ1MaT5FCK4hAiCotp1Mutaa\nZ1mglCD2LQdJxTmzdcYXHjrd1XA4ypptD33x9ePlkaycMVvn3Pf5knS6Hvn8cXUmE2Xco3Q4HEEg\nlNeMdikEOutdqhuaiNwiIioik/6bx+Eoe9yCcztKdUMTkTrgc8ArQdXF4XAY4xacm1GqG9rX8Cwo\n7bJXOByOYHGB0owx3dBEZBkwW1WfPJGQiNyfd3GzSkbhcDhOHnfrfYoQkRDwP4AvjFVWVR9V1RWq\nuiJcWxN85RwOx4lxPUozxnJDqwOWAC+JyDbgMmCtm9BxOM5w9NTs9RaRJhF5VkS6/f8bj1Pubr9M\nt4jc7Z+rFpEnRWSjiLSLyF8Vlf+oiBwUkTf8496x6hJkoDyhG5qqDqhqi6rOUdU5wMvAjar6WoB1\ncjgcFpyaHuXDwPOqugB43n/+FkSkCfgqsApvXuSrRQH1/1TVC4BLgHeIyHVFb/2+qi71j2+NVZHA\nAqWqZoC8G1on8IO8w5qI3BjUz82TS6UDMQGzzOo9WXVd2wanO1nqeorGKNcAj/uPHwduGqXMtcCz\nqtqrqn3As8BqVY2r6osA/mTyb/Huak+KQMcox3JYG1H2CsveZGJjF6ldE/Y9/z2OvPCSqQdNnoHn\nXjDXzA4OcvTl35jrJtrbSe/dZ6478PyL5gZrEEzbZvoHOPqq/c1PfN160vsPmOsOPPeC7Zdb6T3K\nlvxErH/cP46fMlVV9/qP9wGj5Z4rZdK4AXg/Xq80zy0isk5EnhCR4iHCUSnbNGuJjg7iG2wNsFSV\no6++5mU6NyR9uJcjL/2CXDptqhvv2GjeBuBlObc2WFNVjr7ym0KmcyvSBw5y5Be/MvWgAS8becLY\nCA0CattcjsFfv2LXcSg1SHqB8lB+ItY/Hi2WEpHnRGTDKMdblhKqF+XHHelFJAJ8F/hGkdXtT4A5\nqvo2vB7o48d7f56yDJSayxFv7zSza8iT3r+fzOFeexfGjg40lTb1oAHPssDaYE1zORKdneYmYKnd\ne8j2D5j/zuLtHZ4HzZatxrrtJLp7yA0Pm2nm/ZOsr6/Uzl3kBgfNfmeC3a23ql6lqktGOX4M7BeR\n6QD+/6N1tceaNH4U6FbV/1n0Mw+rav4X9y1g+Vj1LMtAmb8wUjt3kRkYMNPN9yCsL+S894ypU2Am\nQ6JrE+RyJDZ2mekOb9vuuQ9u30F2cNBMt+BEaW1XG4BuLpUiuakbMhnvfyOSm7egySTDW7eRjcfN\ndOMBuHyeojHKtcDd/uO7gR+PUuYZ4BoRafQnca7xzyEifwHUA2/JopMPvj434s2hnJCyDJTFF4Sl\nA2FeN3PgIOmDB000c8lkwXEv3t5pNo6U7N6M+r0dyyBRuJVXJd5hZ6yVb9v03r1kentNNLPxeKEn\nmWjvsGvbTd1o2ruVtww+hS/KXM7UtCz/+zftOJyaWe+/Aq4WkW7gKv85IrJCRL4FoKq9eLv7XvWP\nR1S1V0RmAX+Kt336tyOWAX3WXzL0JvBZ4KNjVaQsA2Vq1y7CDQ1EWltIGo0nZo8OeZM4oRCxWTNJ\ndNr00hKbuonNnAFApL6e1O49Nrrd3USnTydUXUXm8GGzSZLU7j2E6+uJtLUyvNXmdjYzcKSQLzE2\ne5ZZ2yY3biI2yxvXD9fWkt6/30a3ZzPRaVMJ1VSTPnDQpG1VldSevYSn1BFta2N4s1Hb9vUR8j2Z\nLNv2VARK/xb5SlVd4N+i9/r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wEoUDPKKqxRlQbgeuH6H7WRG5EcgAvcBHx6qIC5QOh2N8\nqEI2+PVB/i3ylaOcfw24t+j5Y8Bjx9GYN8q5LwNfHk9dXKB0OBzjp4x23ZSCC5QOh2P8uEDpcDgc\nJ0CBs8wzxwVKh8MxThS0jHKolUDZBkpVNUkp5XRPjabTDU7TXFc5JZM5ZxJlu45yeMsW0ocPj11w\nnAy9+rq5T0pe15rc8DDxN9eZ6ya7e8j095vrBtEGQenmkkni6zeY6yY2dpkbrEEAbeDSrJUH8Q32\n5mIAR371/5Heu89UMzsUp+/Jp0x9UsCzrBh6401TTfAyplv7+wAMvPgL0vtH23xx8mQHB+l76mfm\nX26JjV3E31xvqgmQWN9u6u+Tp/+55207Di5QlgdBOAVmBgZI7dxlbwLWuZHswBFzn+h4eweJzi4z\nDxrI+9B0mJuAZXp7Se/da9628Y5Oz2DN0IMG/C/izk5T8zpVJd5h37bpgwfJHDho2HE4ZUkxzhjK\nMlDmL4zk5i3kkkkz3bxJl/WFnNez1NVcjkRHp+dBY2iwlt6/n8zhXhKb7Dxo4Jixlr0Tpf3vTHM5\nEp2d5OIJhrdtN9NN7d5Dtn+ARNcmcum0mW6hba1M5hTI5Uo7yoSyDJSFW5dslsTGLjtd/xt5ePsO\ns3EkzWaJ+37LlkEitWsXWd9/x9InutArydgZrMGxzz68dRvZeNxEUzMZEl2b3qJvwfC27eSG4ua6\n+WCuqZSZwZqn65nLJXs223UcXI9y8pPo6ERiMaSiwuxCzqXSnj2riKfbYWMmX9zby/T2kentPUHp\n0olv6EAqKyESIdnVZTZGF+/ceKxtjQJwLpkktXMXABKLeXbDBiS7N4M/05s+eIjMwICJbrzda1uJ\nRky/iBOdG5FYFKmsNOsBZ+MJUnu8lI4SjRrV19/CWMpRJpRdoFRVmm+7mcrz5lGz7BIarjluFqfx\n6abTzHz4S0gk4unPn2uiG2lqYup9HwNgxhf/CMI2K7ZqL11O/ZXvJdrSzNQH7gMLp0BVWu64zXMK\nXLmC+iuvmHhF8XrVM//LH0Mo5Omfe46JbqStteBAOPNPvlAImhOl7rKVTHnPu4i2tdF2z8fMXBhb\n7rqT2OzZBX0Tcllm/hfPPaHlD+8gNmvWxDUVVHMlHeVC2a2jFJG3uO1ZOe+Fa4qS6ooQNUreG21u\nKtzGhypihOvqbHSLPnekcVRPpnETXNvWFP2QkG3b9nue6VJRSbi6yka3tbWwJjHa3GSiKaEQ0dZj\nn9usbWtrC6spJBwi2tJsout25jgcDsdYlNH4Yym4QOlwOMaHalnNaJeCC5QOh2P8uB5lmRAKI2H7\nuSqJRMz34gpAxP5XIaEQErY3WJNwGAkF0bZhswmXItVA2pZQCAJqWwJoWyIRw7ZV04X2kwEJYt9y\nkFScM1tnfOGh010Nh6Os2fbQF18/nilYfahZL6sY6a4wOj9P/r/H1ZlMlG+P0uFwBEcZLf0phUDX\nUYrIahHpEpEeEXl4lNcrROT7/uuviMicIOvjcDgmjgKa05KOiSAiTSLyrIh0+/+Pus5NRH4mIv0i\n8tMR5+f6caXHjzMx//y4405ggVJEwsA3geuARcCdIrJoRLF7gD5VPQ/4G+DrQdXH4XAYoX7i3lKO\nifEw8LyqLgCe95+Pxn8HPjzK+a8Df+PHlz68eAMnEXeC7FGuBHpUdYuqpoDvAWtGlFkDPO4/fgK4\nUoLIWupwOEzRbLakY4IUx4fHgZtGrYvq88Bbki/4ceR9eHFl5PvHHXeCHKOcCRTnDdsFrDpeGVXN\niMgA0AwcKi4kIvcD9/tPh7c99EX7jKnB0cKIz3MGM5nqCpOrvpOprgDnH++FQfqeeU6fKHX7VKWI\nvFb0/FFVfbTE905V1b3+433A1BLfB14c6VfVfI7BXXjxBkqMO8VMiskcv2EfBRCR1ybTLNpkqu9k\nqitMrvpOprqCV9/jvaaqqw1/znPAtFFe+tMRP1NF5LQt0QkyUO4GZhc9n+WfG63MLhGJAPWAvX+D\nw+E4I1HV42atEZH9IjJdVfeKyHRgPOnvDwMNIhLxe5XF8WfccSfIMcpXgQX+zFMMuANYO6LMWuBu\n//GtwAs62RZ2OhyOoCiOD3cDPy71jX4ceREvrox8//jjjqoGdgDXA5uAzcCf+uceAW70H1cC/wr0\nAL8B5pWgeX+QdQ6gDSZNfSdTXSdbfSdTXc+U+uKNGz4PdAPPAU3++RXAt4rK/Qo4CCTwxiKv9c/P\n8+NKjx9nKvzz4447k25njsPhcJxqyi5xr8PhcFjjAqXD4XCMwRkbKCfT9scS6vp5EekQkXUi8ryI\nnHs66llUnxPWt6jcLSKiInLalrWUUlcRud1v33YR+ZdTXccRdRnrWjhHRF4Ukd/510Np2SUCQEQe\nE5EDIjLqumTx+Ib/WdaJyLJTXcczhtM9YHucQdww3gTQPCAGvAksGlHmU8Df+4/vAL5/Btf1vUC1\n/7MKZ24AAAQQSURBVPiTp6uupdbXL1cH/BJ4GVhxptYVWAD8Dmj0n7edyW2Ltx74k/7jRcC201jf\ndwPLgA3Hef164Gm8TICXAa+crrqe7uNM7VFOpu2PY9ZVVV9U1bwH68t4a7pOF6W0LcDX8PbA2hmj\nj59S6nof8E1V7QNQ1fGstbOmlPoqMMV/XA/sOYX1e2tFVH8JnMj2cw3wHfV4GW9d4vRTU7szizM1\nUI62/XHm8cqot6A0vw3pVFNKXYu5B+9b+nQxZn39W6zZqvrkqazYKJTStguBhSLyHyLysoiY7Ro5\nCUqp758DHxKRXcBTwGdOTdVOivFe22XLpNjCWC6IyIfw1oC953TX5XiISAj4H8BHT3NVSiWCd/t9\nBV5P/ZcicpGq9p/WWh2fO4F/UtX/S0TeDvyziCzRcvJ2LUPO1B7leLY/cpq3P5ZSV0TkKrz9qzeq\n6vApqttojFXfOmAJ8JKIbMMbm1p7miZ0SmnbXcBaVU2r6la8DQ4LTlH9RlJKfe8BfgCgqr/GW/xs\n489rT0nX9tnAmRooJ9P2xzHrKiKXAP8LL0iezjE0GKO+qjqgqi2qOkdV5+CNqd6oqsdNknC66urz\nI7zeJCLSgncrvuVUVrKIUuq7A7gSQEQuxAuUB09pLUtnLfARf/b7MmBAj2XzObs43bNJxzsIYPvj\naazrc8B+4A3/WHsmt+2Isi9xmma9S2xbwRsq6ADWA3ecyW2LN9P9H3gz4m8A15zGun4X2Auk8Xrm\n9wAPAA8Ute03/c+y/nReB6f7cFsYHQ6HYwzO1Ftvh8PhOGNwgdLhcDjGwAVKh8PhGAMXKB0Oh2MM\nXKB0OCYJYyWxGKfWe0XkjaIjKSKjuhw6cLPeDsdkQUTeDRzF23+9xFC3CW+Z3Sw9lpPAUYTrUToc\nkwQdJYmFiMwXkZ+JyOsi8isRueAkpG8FnnZB8vi4QOkIBBG51M9hWCkiNX6uSLNekKPAo8BnVHU5\n8EXgb09C4w68xeeO4+BuvR2BISJ/gbeDqgrYpar/x2mu0qTHT1D9U1VdIiK1eNsfu4qKVKjqhSJy\nM96OoJHsVtVri/SmA+uAGaqaDq7mkxsXKB2B4e93fhUvp+Xlqpo9zVWa9IwIlFOALlU96RyRIvI5\nYLGq3m9UxbLE3Xo7gqQZqMXLSFR5mutSdqjqEWCriNwGBeuGi8cpcyfutntMXI/SERgishYvy/dc\nYLqqPniaqzSpEZHv4mVKasFLsvJV4AXg74DpQBT4nqqOdss9mt4cvAQds9XlwzwhLlA6AkFEPgKs\nUdVbRCQM/CfwZVV94TRXzeEYNy5QOhwOxxi4MUqHw+EYAxcoHQ6HYwxcoHQ4HI4xcIHS4XA4xsAF\nSofD4RgDFygdDodjDFygdDgcjjH4/wFZOZ/ZObgwVQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = system.m.plot_plane(\"z\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After the system object is created, we can minimise its energy (relax it) using the Minimisation Driver (`MinDriver`)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2017/9/25 14:36: Calling OOMMF (first_notebook/first_notebook.mif) ... [0.6s]\n" ] } ], "source": [ "md = oc.MinDriver()\n", "md.drive(system)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The system is now relaxed, and we can plot its slice and compute its average magnetisation." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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F57V+7hg/PMXRp09g99iwu204vHbsbhvDu8d4+uvbqN9QTfu1zay8qgmn37oz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\nT0T+6K5/WERC7vqw+363u70532fkwszUMIzCmQQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = system.m.plot_plane(\"z\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7943727.6924090749, 3.4479801775887612e-05, 1.6530975699424742e-11)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.m.average" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the magnetisation is aligned along the \"x\" direction, as expected having in mind we applied the external magnetic field in that direction." ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }