{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Term parameters\n", "\n", "Every energy terms requires one or more input parameters for its definition. For example, (second order) uniaxial anisotropy energy requires the anisotropy constant $K$ and the anisotropy axis $\\mathbf{u}$. There are three ways how these parameters can be defined:\n", "\n", "## 1. Constant parameters\n", "\n", "If the energy parameters do not vary in space, they can be defined using constant values." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "K = 1e5\n", "u = (0, 0, 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Parameters defined \"per region\"\n", "\n", "If different regions have different values of parameters, they can be defined \"per region\". Let us say there are two regions: \"region1\" and \"region2\". In \"region1\", the anisotropy constant is $5\\times10^{5} \\text{J}/\\text{m}^{3}$ and the anisotropy axis is $(1, 0, 0)$. On the other hand, in \"region2\", these parameters are $3\\times10^{5} \\text{J}/\\text{m}^{3}$ and $(0, 0, 1)$. These two parameters can then be defined using a dictionary:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "K = {\"region1\": 5e5, \"region2\": 3e5}\n", "u = {\"region1\": (1, 0, 0), \"region2\": (0, 0, 1)}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Certain energy terms also require the parameters to be defined between regions. This can be defined by adding an additional item to the dictionary with colon (`:`) in the key. For example, an exchange energy parameter can be:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "A = {\"region1\": 1e-12, \"region2\": 2e-12, \"region1:region2\": 1e-11}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Parameters defined using `discretisedfield.Field` object\n", "\n", "If it is not possible to define the energy parameter using a dictionary because ot varies in space in a non-trivial manner, a parameter can be defined using a field object. For instance:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df\n", "\n", "p1 = (0, 0, 0)\n", "p2 = (50e-9, 50e-9, 50e-9)\n", "cell = (2e-9, 2e-9, 2e-9)\n", "mesh = df.Mesh(p1=p1, p2=p2, cell=cell)\n", "\n", "K = df.Field(mesh, nvdim=1)\n", "u = df.Field(mesh, nvdim=3)" ] }, { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "The values of these two (scalar and vector) fields can be then set using Python functions. For further details, plese refer to `discretisedfield` [documentation](https://discretisedfield.readthedocs.io/en/latest/)." ] } ], "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 }