Supplementary Code S2: Two-dimensional verification for Diffusivity-Uniform Mean Corrections and Initial-Layer Memory in Thermochemical Reaction Systems

Supplementary Code S2 for “Diffusivity-Uniform Mean Corrections and Initial-Layer Memory in Thermochemical Reaction Systems,” by Nam-Hyun Yoo, Hyojin Park and Jinhong Yang. This archive contains reproducible Python programs, protocols, saved trajectories, numerical controls, figures and a technical note for the two-dimensional periodic thermochemical model. There are 39 primary nonlinear trajectories: 25 at beta=3 and 14 at beta=20, with no excluded cases. The archive also decomposes the mean-conversion timing shift into propagated thermal-curvature, covariance and conversion-curvature contributions at D=1 and D=64, and compares the high-activation composite at D=64 with all seven saved amplitudes. Independent adjoint/quadrature and saved-array checks accompany the results. The technical note also contains one-dimensional comparison tables whose programs and data are in the separate S1 archive, version 1.1.1: https://doi.org/10.5281/zenodo.23768187. Version 1.0.1 updates the Supplementary Technical Note (Code S2), Figure 6 notation, archive documentation and references to S1 version 1.1.1. Numerical trajectories, coefficient arrays, result tables, protocols and saved validation files are retained from S2 version 1.0. The archive records both the current S1 reference and the historical reference used in S2 version 1.0. Python source code is licensed under MIT; data, figures, configurations and documentation are licensed under CC BY 4.0. Pinned dependencies, reproduction commands, source files and SHA-256 checksums are included. These are deterministic mathematical benchmarks with sampled-time errors; no external observational dataset or material calibration is used. Funding: National IT Industry Promotion Agency (NIPA), funded by the Korea government (MSIT), grants RS-2026-25621689 and RS-2026-25621708.