Condensation in stochastic lattice gases with size-dependent stationary weights
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917302466772992 |
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| author | Blank, Joshua Chleboun, Paul Grosskinsky, Stefan Jatuviriyapornchai, Watthanan |
| author_facet | Blank, Joshua Chleboun, Paul Grosskinsky, Stefan Jatuviriyapornchai, Watthanan |
| contents | We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of particles exceeds a critical value the system phase separates into a bulk with homogeneous distribution of particles and a condensed phase. Depending on parameter values, the latter consists of a single macroscopic cluster or a diverging number of independent clusters on a smaller scale. We establish the condensation transition via the equivalence of ensembles and the main novelty is a derivation of the cluster size distribution using size-biased sampling, generalizing previous work on zero-range and inclusion processes. Simulations of zero-range processes illustrate our theoretical results on the condensate scale and size distribution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_00806 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Condensation in stochastic lattice gases with size-dependent stationary weights Blank, Joshua Chleboun, Paul Grosskinsky, Stefan Jatuviriyapornchai, Watthanan Probability Statistical Mechanics We consider stochastic lattice gases with stationary product weights and a polynomial perturbation vanishing with the system size that leads to condensation. If the density of particles exceeds a critical value the system phase separates into a bulk with homogeneous distribution of particles and a condensed phase. Depending on parameter values, the latter consists of a single macroscopic cluster or a diverging number of independent clusters on a smaller scale. We establish the condensation transition via the equivalence of ensembles and the main novelty is a derivation of the cluster size distribution using size-biased sampling, generalizing previous work on zero-range and inclusion processes. Simulations of zero-range processes illustrate our theoretical results on the condensate scale and size distribution. |
| title | Condensation in stochastic lattice gases with size-dependent stationary weights |
| topic | Probability Statistical Mechanics |
| url | https://arxiv.org/abs/2603.00806 |