Phase coexistence in a weakly stochastic reaction-diffusion system
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929672769503232 |
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| author | Yanagisawa, Yusuke Sasa, Shin-ichi |
| author_facet | Yanagisawa, Yusuke Sasa, Shin-ichi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_19198 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phase coexistence in a weakly stochastic reaction-diffusion system Yanagisawa, Yusuke Sasa, Shin-ichi Statistical Mechanics 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. |
| title | Phase coexistence in a weakly stochastic reaction-diffusion system |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2403.19198 |