{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Multiple energy terms of the same class\n", "\n", "Here we demonstrate how to define multiple energy terms of the same class in the energy equation. For the sample, we choose a one-dimensional chain of magnetic moments." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import random\n", "import oommfc as mc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "\n", "p1 = (-10e-9, 0, 0)\n", "p2 = (10e-9, 1e-9, 1e-9)\n", "cell = (1e-9, 1e-9, 1e-9)\n", "region = df.Region(p1=p1, p2=p2)\n", "mesh = df.Mesh(region=region, cell=cell)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mesh is" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl(box_aspect=(10, 4, 4), figsize=(8, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us say that the system has an energy equation, which consists of two Zeeman energy terms." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [] }, "outputs": [], "source": [ "H1 = (0, 0, 1e6)\n", "H2 = (1e6, 0, 0)\n", "\n", "system = mm.System(name=\"multiple_terms\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, if we try to add two Zeeman energy terms, we get an exception raised." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "raises-exception" ] }, "outputs": [ { "ename": "ValueError", "evalue": "There is already a term of type with name 'zeeman' in . Please provide a different name for Zeeman(H=(0, 100000.0, 0)).", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m system\u001b[38;5;241m.\u001b[39menergy \u001b[38;5;241m=\u001b[39m \u001b[43mmm\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mZeeman\u001b[49m\u001b[43m(\u001b[49m\u001b[43mH\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1e5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mmm\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mZeeman\u001b[49m\u001b[43m(\u001b[49m\u001b[43mH\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m1e5\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/repos/ubermag-devtools/repos/micromagneticmodel/micromagneticmodel/abstract/term.py:115\u001b[0m, in \u001b[0;36mTerm.__add__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 113\u001b[0m result \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mgetattr\u001b[39m(mm, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_container_class)()\n\u001b[1;32m 114\u001b[0m result \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\n\u001b[0;32m--> 115\u001b[0m result \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m other\n\u001b[1;32m 116\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m result\n", "File \u001b[0;32m~/repos/ubermag-devtools/repos/micromagneticmodel/micromagneticmodel/abstract/container.py:378\u001b[0m, in \u001b[0;36mContainer.__add__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 369\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28many\u001b[39m(\n\u001b[1;32m 370\u001b[0m \u001b[38;5;28misinstance\u001b[39m(other, term\u001b[38;5;241m.\u001b[39m\u001b[38;5;18m__class__\u001b[39m) \u001b[38;5;129;01mand\u001b[39;00m other\u001b[38;5;241m.\u001b[39mname \u001b[38;5;241m==\u001b[39m term\u001b[38;5;241m.\u001b[39mname\n\u001b[1;32m 371\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m term \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_terms\n\u001b[1;32m 372\u001b[0m ):\n\u001b[1;32m 373\u001b[0m msg \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m 374\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mThere is already a term of type \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mother\u001b[38;5;241m.\u001b[39m\u001b[38;5;18m__class__\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m with name \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 375\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mother\u001b[38;5;241m.\u001b[39mname\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m in \u001b[39m\u001b[38;5;132;01m{\u001b[39;00m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m\u001b[38;5;18m__class__\u001b[39m\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m. Please provide a different \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 376\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mname for \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mother\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 377\u001b[0m )\n\u001b[0;32m--> 378\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(msg)\n\u001b[1;32m 379\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 380\u001b[0m result\u001b[38;5;241m.\u001b[39m_terms\u001b[38;5;241m.\u001b[39mappend(other)\n", "\u001b[0;31mValueError\u001b[0m: There is already a term of type with name 'zeeman' in . Please provide a different name for Zeeman(H=(0, 100000.0, 0))." ] } ], "source": [ "system.energy = mm.Zeeman(H=(0, 0, 1e5)) + mm.Zeeman(H=(0, 1e5, 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is because different energy terms must have different names, so they can be uniquely identified. So, we have to give names to our energy terms:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [], "source": [ "system.energy = mm.Zeeman(H=H1, name=\"zeeman1\") + mm.Zeeman(H=H2, name=\"zeeman2\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to define the system's magnetisation (`system.m`). We are going to make it random with $M_\\text{s}=8\\times10^{5} \\,\\text{Am}^{-1}$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [] }, "outputs": [], "source": [ "random.seed(1)\n", "\n", "Ms = 8e5 # saturation magnetisation (A/m)\n", "\n", "\n", "def m_fun(pos):\n", " return [2 * random.random() - 1 for i in range(3)]\n", "\n", "\n", "system.m = df.Field(mesh, nvdim=3, value=m_fun, norm=Ms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can minimise the system's energy:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:08]... (0.4 s)\n" ] } ], "source": [ "md = mc.MinDriver()\n", "md.drive(system)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We expect that now all magnetic moments are aligned parallel or antiparallel to the anisotropy axis (in the $z$-direction)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ], "text/plain": [ " max_mxHxm E delta_E bracket_count line_min_count \\\n", "0 0.003228 -2.843445e-20 -7.222237e-35 27.0 5.0 \n", "\n", " conjugate_cycle_count cycle_count cycle_sub_count energy_calc_count \\\n", "0 21.0 23.0 2.0 33.0 \n", "\n", " E_zeeman_zeeman1 E_zeeman_zeeman2 iteration stage_iteration stage \\\n", "0 -1.421723e-20 -1.421723e-20 30.0 30.0 0.0 \n", "\n", " mx my mz \n", "0 0.707107 9.445158e-11 0.707107 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.table.data" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "We can see that energy terms are marked with the names we gave to energy terms when we defined the energy equation." ] } ], "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": "3.10.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }