Condensation in stochastic lattice gases with size-dependent stationary weights

Joshua Blank; Paul Chleboun; Stefan Grosskinsky; Watthanan Jatuviriyapornchai

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arXiv · 2603.00806

Condensation in stochastic lattice gases with size-dependent stationary weights

Joshua Blank·Paul Chleboun·Stefan Grosskinsky·Watthanan Jatuviriyapornchai

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Abstract

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.

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BibTeX RIS

Joshua Blank, Paul Chleboun, Stefan Grosskinsky, Watthanan Jatuviriyapornchai. 2026-02-28. Condensation in stochastic lattice gases with size-dependent stationary weights. https://arxiv.org/abs/2603.00806

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