Numerical method and dataset underlying the letter: Scaling regimes for unsteady diffusion across particle-stabilized fluid interfaces

This data set contains the data to reproduce the numerical results presented in the letter titled 'Scaling regimes for unsteady diffusion across particle-stabilized fluid interfaces'.<br>Data processing is done in JupyterLab.<br><em>GenerateFigures.ipynb</em> generates, stores, and plots the numerical data corresponding to Figures 2, 3, and S1 in the manuscript.<br>The numerical method solves the Fick-Jacobs equation using the one-dimensional Crank-Nicolson method, where both the spatial coordinate and time are logarithmically spaced to efficiently resolve the relevant scales.

本数据集包含复现题为《颗粒稳定流体界面间非稳态扩散的标度律》的学术快报中所呈现数值结果所需的数据。
数据处理工作均在JupyterLab环境中完成。
<em>GenerateFigures.ipynb</em> 用于生成、存储并绘制稿件中图2、图3及补充材料图S1对应的数值数据。
本数值方法采用一维Crank-Nicolson（克兰克-尼科尔森）格式求解菲克-雅各布斯（Fick-Jacobs）方程，通过对空间坐标与时间采用对数间距采样，以高效解析相关特征尺度。