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Condensed Matter > Statistical Mechanics
Title: Phase coexistence in a weakly stochastic reaction-diffusion system
(Submitted on 28 Mar 2024)
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.
Submission history
From: Yusuke Yanagisawa [view email][v1] Thu, 28 Mar 2024 07:52:56 GMT (252kb,D)
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