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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2604.11606 |
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| _version_ | 1866915934838456320 |
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| author | Chapman, Joseph Gidziunas, Justas Tomasello, Bruno Carr, Sam |
| author_facet | Chapman, Joseph Gidziunas, Justas Tomasello, Bruno Carr, Sam |
| contents | There has been much recent interest devoted to a class of frustrated one-dimensional statistical mechanics lattice models which exhibit sharp thermodynamics. In this work, we study an extension of one of these models to two dimensions; the Ising model on a decorated bilayer lattice. We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition is found to still exist above a bi-critical point. This can be characterised as a Widom line, which allows a re-interpretation of the physics in the previously studied one-dimensional models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11606 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Widom line in the Ising model on a decorated bilayer lattice Chapman, Joseph Gidziunas, Justas Tomasello, Bruno Carr, Sam Statistical Mechanics There has been much recent interest devoted to a class of frustrated one-dimensional statistical mechanics lattice models which exhibit sharp thermodynamics. In this work, we study an extension of one of these models to two dimensions; the Ising model on a decorated bilayer lattice. We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition is found to still exist above a bi-critical point. This can be characterised as a Widom line, which allows a re-interpretation of the physics in the previously studied one-dimensional models. |
| title | The Widom line in the Ising model on a decorated bilayer lattice |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2604.11606 |