{ "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", "# 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\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", "# Function for initialising the vortex state.\n", "def m_init_vortex(pos):\n", " x, y, z = 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(\"L={:7}, {} \".format(L, 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(p1=(0, 0, 0), p2=(cubesize, cubesize, cubesize),\n", " cell=(cellsize, cellsize, cellsize)) # 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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (1.6 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (0.4 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8.0, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (1.2 s)\n", "L= 8.0, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (0.4 s)\n", "L= 8.25, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (1.0 s)\n", "L= 8.25, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (0.4 s)\n", "L= 8.5, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (0.8 s)\n", "L= 8.5, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:56]... (0.4 s)\n", "L= 8.75, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.8 s)\n", "L= 8.75, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "L= 9.0, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.8 s)\n", "L= 9.0, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "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])\n", "\n", "import matplotlib.pyplot as plt\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();" ] }, { "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": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L= 8.4, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.9 s)\n", "L= 8.4, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "L= 8.6, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.8 s)\n", "L= 8.6, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "L= 8.5, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.8 s)\n", "L= 8.5, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "L= 8.45, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.9 s)\n", "L= 8.45, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "L= 8.425, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.8 s)\n", "L= 8.425, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "L= 8.4375, m_init_vortex Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.8 s)\n", "L= 8.4375, m_init_flower Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:57]... (0.4 s)\n", "\n", "The energy crossing occurs at 8.4375*lex\n" ] } ], "source": [ "# NBVAL_IGNORE_OUTPUT\n", "from scipy.optimize import bisect\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] -\n", " flower.table.data.tail(1)['E'][0])\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": "3.10.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }