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arXiv · 2403.19198

Phase coexistence in a weakly stochastic reaction-diffusion system

Yusuke Yanagisawa·Shin-ichi Sasa
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Abstract

We investigate phase coexistence in a weakly stochastic reaction-diffusion system without assuming a continuum description. Concretely, for $(2N+1)$ diffusion-coupled vessels in which a chemical reaction exhibiting bistability occurs, we derive a condition for the phase coexistence in the limit $N \to \infty$. We then find that the phase coexistence condition depends on the rate of hopping between neighboring vessels. The conditions in the high- and low-hopping-rate limits are expressed in terms of two different potentials which are determined from the chemical reaction model in a single vessel.

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Yusuke Yanagisawa, Shin-ichi Sasa. 2024-03-28. Phase coexistence in a weakly stochastic reaction-diffusion system. https://doi.org/10.1103/physreve.111.l012103

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