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. Additional calculations decompose the mean-conversion timing shift into propagated thermal-curvature, covariance and conversion-curvature contributions at D=1 and D=64, and compare 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 1.1.0: https://doi.org/10.5281/zenodo.23614665. 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.