Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems
软凝聚态物质
2026-05-18 v1 统计力学
摘要
We show that the late-time dynamics of a minimal three-component mass-conserving reaction--diffusion system reduce to a scalar active field theory, Active Model B (AMB), in which a density-dependent interfacial coefficient turns negative at high density. This drives a finite-wavelength instability and stabilises microphase-separated patterns, in contrast to the unbounded coarsening of two-component mass-conserving systems. Unlike Active Model B, AMB retains a chemical potential that remains a state function, inherited from the underlying conservation law, but admits no equation of state for the pressure.
引用
@article{arxiv.2605.15903,
title = {Active Model B$^-$ from Mass-Conserving Reaction-Diffusion Systems},
author = {Davide Toffenetti and Beatrice Nettuno and Henrik Weyer and Erwin Frey},
journal= {arXiv preprint arXiv:2605.15903},
year = {2026}
}
备注
DT and BN contributed equally to this work