Diffusion-Reaction and Pattern Formation

This research area studies how spatial chemical patterns may arise from coherence dynamics, transport, local interaction, and constraint. In classical settings, diffusion-reaction systems are used to model chemical waves, morphogenesis, oscillatory media, and pattern formation. In Coherence Geometry, these behaviors are studied as projections of underlying coherence structure: local relaxation, transport, phase interaction, amplitude modulation, and stability selection.

Papers in this area explore how ordered spatial forms can emerge from local rules and distributed interaction, providing a bridge between chemical dynamics, biological patterning, and general coherence-driven structure formation.

Publication List

  • Pattern Formation via Curvature-Driven Amplitude Relaxation in Coherence Geometry

    CGI-RSR-000015 | We present a coherence–geometric formulation of diffusion–reaction–like pattern formation based on curvature-driven amplitude relaxation (CDAR). Rather than modeling diffusion and reaction as distinct processes acting on multiple scalar fields, the proposed approach represents spatial structure as the evolution of a constrained amplitude–phase field governed by geometric coherence couplings.