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arXiv · 2505.05319

Phase transitions for the Widom--Rowlinson model in random environments

Benedikt Jahnel·Daniel Kamecke
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Abstract

We establish non-uniqueness regimes for the infinite-volume two-colored Widom--Rowlinson model based on inhomogeneous Poisson point processes with locally finite intensity measures featuring percolation. As an application, we provide almost-sure phase-transition results for the Widom--Rowlinson model based on translation-invariant and ergodic Cox point processes with stabilizing and non-stabilizing directing measures.

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Benedikt Jahnel, Daniel Kamecke. 2025-05-08. Phase transitions for the Widom--Rowlinson model in random environments. https://arxiv.org/abs/2505.05319

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