English

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

Probability 2025-05-09 v1

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.

Keywords

Cite

@article{arxiv.2505.05319,
  title  = {Phase transitions for the Widom--Rowlinson model in random environments},
  author = {Benedikt Jahnel and Daniel Kamecke},
  journal= {arXiv preprint arXiv:2505.05319},
  year   = {2025}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-28T23:25:53.843Z