{ "cells": [ { "cell_type": "markdown", "id": "0f14ef19-51af-42a4-9d0d-50da35b4df9e", "metadata": { "tags": [ "hide" ] }, "source": [ "This notebook is a continuation of `Electrodeposition.ipynb`. Please run that notebook first to generate `Electrodeposition_data.pkl` before continuing. The cell below will import the required packages and restore the generated data." ] }, { "cell_type": "code", "execution_count": 1, "id": "fe3f0e8a-c566-4a23-a435-65ec68d1bf24", "metadata": { "tags": [ "hide" ] }, "outputs": [], "source": [ "import scm.pyzacros as pz\n", "\n", "import random\n", "\n", "random_seed = 100\n", "random.seed(random_seed)\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import matplotlib.animation as animation\n", "\n", "plt.rcParams[\"figure.figsize\"] = [7, 7]\n", "\n", "from IPython.display import HTML\n", "\n", "import dill\n", "\n", "with open(\"Electrodeposition_data.pkl\", \"rb\") as f:\n", " data = dill.load(f)\n", "globals().update(data)" ] }, { "cell_type": "markdown", "id": "ca0a587f-4d01-400b-b53a-f3a797874794", "metadata": {}, "source": [ "The Inlet Model: Simulating Diffusion-Limited Growth (Optional)\n", "---------------------------------------------------------------\n", "\n", "We can also model a system with a distinct concentration gradient by defining an explicit ion inlet rather than a uniform background reservoir.\n", "\n", "In the code below, we define a new species I (Inlet). We initialize the lattice with our standard solid M electrode at the bottom (dark blue) and a solid line of I sites at the top (yellow). We also keep our initial 20% random seeding of M+ ions in the electrolyte solution." ] }, { "cell_type": "code", "execution_count": 2, "id": "428aeffc-a390-4a55-b134-7b8991033d3f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "I = pz.Species(\"I\", denticity=1, kind=pz.Species.SURFACE, mass=1.0)\n", "I_cluster = pz.Cluster(label=\"I\", site_types=[\"s\"], species=[I])\n", "\n", "initial_state = pz.LatticeState(lattice, [M, Mp, s], initial=True)\n", "\n", "for sid in range(0, 100 * 100, 100):\n", " initial_state.fill_site(sid, M)\n", " initial_state.fill_site(sid - 1, I)\n", "\n", "initial_state.fill_sites_random(\"s\", Mp, 0.2)\n", "\n", "initial_state.plot(marker_size=2.5, markers=[\"o\", \"o\", \"o\"], colors=[\"#98dbff\", \"#0053b6\", \"y\"], lattice_color=\"0.95\");" ] }, { "cell_type": "markdown", "id": "3b87d59b-7631-4e87-a6a0-ec38bf16375e", "metadata": {}, "source": [ "In this geometry, new `M+` ions are continuously pumped into the system by the top yellow layer. This means they must physically diffuse across the entire simulation box to reach the bottom electrode before they can be reduced.\n", "\n", "To implement this, we define a new elementary reaction where our fictitious `Mg` gas can only generate an `M+` ion on an empty site (`s`) if it is directly adjacent to an Inlet site (`I`). Notice that we also increased our scaling fraction to `f_A = 0.02`. Because ions are now only entering the system from a single boundary row rather than uniformly across the whole grid, we need a higher local injection rate to maintain a steady overall flux." ] }, { "cell_type": "code", "execution_count": 3, "id": "10e53305-891b-466c-abdf-4d7d44605b93", "metadata": {}, "outputs": [], "source": [ "Mg = pz.Species(\"Mg\", gas_energy=0.0, mass=1.0)\n", "\n", "f_A = 0.02\n", "k_A = f_A * k_R\n", "\n", "MpAddIons = pz.ElementaryReaction(\n", " label=\"MpAddIons\",\n", " site_types=[\"s\", \"s\"],\n", " initial=[I, s, Mg],\n", " final=[I, Mp],\n", " neighboring=[(0, 1)],\n", " reversible=False,\n", " pre_expon=k_A,\n", " activation_energy=0.0,\n", ")" ] }, { "cell_type": "markdown", "id": "ddd3eda3-24f3-4f5b-8bc0-91c203f97d47", "metadata": {}, "source": [ "Finally, we update our `cluster_expansion` to include the new inlet species, our `mechanism` with the new `MpAddIons` reaction and execute the updated ZacrosJob. To ensure the injected `M+` ions have enough time to diffuse from the top boundary down to the working electrode, we increased the time step by a factor of 4 (previously $3\\cdot 10^{-8}$ s), which indirectly increased the total simulation time. Perfect time for a lunch break! On a typical laptop, this calculation will take around an hour to wrap up." ] }, { "cell_type": "code", "execution_count": 4, "id": "248e3a56-f603-4cfe-955e-86139b6c8329", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[31.03|11:10:31] JOB plamsjob STARTED\n", "[31.03|11:10:33] JOB plamsjob RUNNING\n", "[31.03|12:13:49] JOB plamsjob FINISHED\n", "[31.03|12:13:49] JOB plamsjob SUCCESSFUL\n" ] } ], "source": [ "cluster_expansion = [M_cluster, Mp_cluster, I_cluster]\n", "mechanism = [MpDiffusion, MpReduction, MTerraceDiffusion, MDiffusionAwayFromStep, MpAddIons]\n", "\n", "dt = 1.2e-7\n", "sett.max_time = 15 * dt\n", "sett.snapshots = (\"time\", dt)\n", "sett.process_statistics = (\"time\", dt)\n", "sett.species_numbers = (\"time\", 0.25 * dt)\n", "\n", "job = pz.ZacrosJob(\n", " settings=sett,\n", " lattice=lattice,\n", " mechanism=mechanism,\n", " cluster_expansion=cluster_expansion,\n", " initial_state=initial_state,\n", ")\n", "\n", "results = job.run()" ] }, { "cell_type": "markdown", "id": "5598776f-1d87-42b7-8d62-3d5a5bcfa110", "metadata": {}, "source": [ "We have successfully run our directional model! First, let's take a look to the population numbers:" ] }, { "cell_type": "code", "execution_count": 5, "id": "29680453-6413-4901-a97d-c69026c491c5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "results.plot_molecule_numbers([\"M\", \"M+\"]);" ] }, { "cell_type": "markdown", "id": "0ba02119-5453-4e79-b9ca-29ab3e87b244", "metadata": {}, "source": [ "The green line shows that our new injection rate (`f_A = 0.02`) perfectly balances the reduction rate, keeping the overall M+ concentration steady while the solid `M` film grows.\n", "\n", "Now, lets see the final spatial distribution of our deposited film:" ] }, { "cell_type": "code", "execution_count": 6, "id": "0bf2d3df-0220-49c8-a37e-77fb810e8303", "metadata": {}, "outputs": [ { "data": { "image/png": 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