{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Standard problem 3\n", "\n", "## Problem specification\n", "\n", "This problem is to calculate a single domain limit of a cubic magnetic particle. This is the size $L$ of equal energy for the so-called flower state (which one may also call a splayed state or a modified single-domain state) on the one hand, and the vortex or curling state on the other hand.\n", "\n", "Geometry:\n", "\n", "A cube with edge length, $L$, expressed in units of the intrinsic length scale, $l_\\text{ex} = \\sqrt{A/K_\\text{m}}$, where $K_\\text{m}$ is a magnetostatic energy density, $K_\\text{m} = \\frac{1}{2}\\mu_{0}M_\\text{s}^{2}$.\n", "\n", "Material parameters: \n", "\n", "- uniaxial anisotropy $K_\\text{u}$ with $K_\\text{u} = 0.1 K_\\text{m}$, and with the easy axis directed parallel to a principal axis of the cube (0, 0, 1),\n", "- exchange energy constant is $A = \\frac{1}{2}\\mu_{0}M_\\text{s}^{2}l_\\text{ex}^{2}$.\n", "\n", "More details about the standard problem 3 can be found in Ref. 1.\n", "\n", "## Simulation\n", "\n", "Firstly, we import all necessary modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "import oommfc as oc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following two functions are used for initialising the system's magnetisation [1]." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "\n", "# Function for initiaising the flower state.\n", "def m_init_flower(pos):\n", " x, y, z = pos[0] / 1e-9, pos[1] / 1e-9, pos[2] / 1e-9\n", " mx = 0 * x\n", " my = 2 * z - 1\n", " mz = -2 * y + 1\n", " norm_squared = mx**2 + my**2 + mz**2\n", " if norm_squared <= 0.05:\n", " return (1, 0, 0)\n", " else:\n", " return (mx, my, mz)\n", "\n", "\n", "# Function for initialising the vortex state.\n", "def m_init_vortex(pos):\n", " x, _, _ = pos[0] / 1e-9, pos[1] / 1e-9, pos[2] / 1e-9\n", " mx = 0\n", " my = np.sin(np.pi / 2 * (x - 0.5))\n", " mz = np.cos(np.pi / 2 * (x - 0.5))\n", "\n", " return (mx, my, mz)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following function is used for convenience. It takes two arguments:\n", "\n", "- $L$ - the cube edge length in units of $l_\\text{ex}$, and\n", "- the function for initialising the system's magnetisation.\n", "\n", "It returns the relaxed system object.\n", "\n", "Please refer to other tutorials for more details on how to create system objects and drive them using specific drivers." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def minimise_system_energy(L, m_init):\n", " print(f\"L={L:7}, {m_init.__name__} \", end=\"\")\n", " N = 16 # discretisation in one dimension\n", " cubesize = 100e-9 # cube edge length (m)\n", " cellsize = cubesize / N # discretisation in all three dimensions.\n", " lex = cubesize / L # exchange length.\n", "\n", " Km = 1e6 # magnetostatic energy density (J/m**3)\n", " Ms = np.sqrt(2 * Km / mm.consts.mu0) # magnetisation saturation (A/m)\n", " A = 0.5 * mm.consts.mu0 * Ms**2 * lex**2 # exchange energy constant\n", " K = 0.1 * Km # Uniaxial anisotropy constant\n", " u = (0, 0, 1) # Uniaxial anisotropy easy-axis\n", "\n", " p1 = (0, 0, 0) # Minimum sample coordinate.\n", " p2 = (cubesize, cubesize, cubesize) # Maximum sample coordinate.\n", " cell = (cellsize, cellsize, cellsize) # Discretisation.\n", " mesh = df.Mesh(\n", " p1=p1,\n", " p2=p2,\n", " cell=cell,\n", " ) # Create a mesh object.\n", "\n", " system = mm.System(name=\"stdprob3\")\n", " system.energy = mm.Exchange(A=A) + mm.UniaxialAnisotropy(K=K, u=u) + mm.Demag()\n", " system.m = df.Field(mesh, nvdim=3, value=m_init, norm=Ms)\n", "\n", " md = oc.MinDriver()\n", " md.drive(system, overwrite=True)\n", "\n", " return system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Relaxed magnetisation states\n", "\n", "Now, we show the magnetisation configurations of two relaxed states.\n", "\n", "**Vortex** state:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:41]... (2.8 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system = minimise_system_energy(8, m_init_vortex)\n", "system.m.sel(\"y\").mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Flower** state:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... " ] }, { "name": "stdout", "output_type": "stream", "text": [ "(0.7 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system = minimise_system_energy(8, m_init_flower)\n", "system.m.sel(\"y\").mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Energy crossing\n", "\n", "We can plot the energies of both vortex and flower states as a function of cube edge length $L$. This will give us an idea where the state transition occurrs. We can achieve that by simply looping over the edge lengths $L$ of interest, computing the energy of both vortex and flower states, and finally, plotting the energy dependence." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8.0, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... " ] }, { "name": "stdout", "output_type": "stream", "text": [ "(2.6 s)\n", "L= 8.0, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.25, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.9 s)\n", "L= 8.25, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.5, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.6 s)\n", "L= 8.5, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.75, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.4 s)\n", "L= 8.75, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 9.0, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.4 s)\n", "L= 9.0, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n" ] } ], "source": [ "L_array = np.linspace(8, 9, 5)\n", "vortex_energies, flower_energies = [], []\n", "for L in L_array:\n", " vortex = minimise_system_energy(L, m_init_vortex)\n", " flower = minimise_system_energy(L, m_init_flower)\n", " vortex_energies.append(vortex.table.data.tail(1)[\"E\"][0])\n", " flower_energies.append(flower.table.data.tail(1)[\"E\"][0])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(8, 4))\n", "plt.plot(L_array, vortex_energies, \"o-\", label=\"vortex\")\n", "plt.plot(L_array, flower_energies, \"o-\", label=\"flower\")\n", "plt.xlabel(\"L (lex)\")\n", "plt.ylabel(\"E (J)\")\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the plot, we can see that the energy crossing occurrs between $8.4l_\\text{ex}$ and $8.6l_\\text{ex}$, so we can employ a root-finding (e.g. bisection) algorithm to find the exact crossing." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8.4, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.7 s)\n", "L= 8.4, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.6, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.6 s)\n", "L= 8.6, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.5, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.7 s)\n", "L= 8.5, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.45, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.7 s)\n", "L= 8.45, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.425, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.7 s)\n", "L= 8.425, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "L= 8.4375, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (1.7 s)\n", "L= 8.4375, m_init_flower Running OOMMF (ExeOOMMFRunner)[2024/08/09 17:42]... (0.6 s)\n", "\n", "The energy crossing occurs at 8.4375*lex\n" ] } ], "source": [ "from scipy.optimize import bisect\n", "\n", "\n", "def energy_difference(L):\n", " vortex = minimise_system_energy(L, m_init_vortex)\n", " flower = minimise_system_energy(L, m_init_flower)\n", " return vortex.table.data.tail(1)[\"E\"][0] - flower.table.data.tail(1)[\"E\"][0]\n", "\n", "\n", "cross_section = bisect(energy_difference, 8.4, 8.6, xtol=0.02)\n", "\n", "print(f\"\\nThe energy crossing occurs at {cross_section}*lex\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] µMAG Site Directory http://www.ctcms.nist.gov/~rdm/mumag.org.html" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.11.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }