Phase transitions for the Widom--Rowlinson model in random environments
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913826825306112 |
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| author | Jahnel, Benedikt Kamecke, Daniel |
| author_facet | Jahnel, Benedikt Kamecke, Daniel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase transitions for the Widom--Rowlinson model in random environments Jahnel, Benedikt Kamecke, Daniel Probability 60K35 (Primary), 05C80 (Secondary) 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. |
| title | Phase transitions for the Widom--Rowlinson model in random environments |
| topic | Probability 60K35 (Primary), 05C80 (Secondary) |
| url | https://arxiv.org/abs/2505.05319 |