Partition function zeros of zeta-urns
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929511451328512 |
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| author | Bialas, P. Burda, Z. Johnston, D. A. |
| author_facet | Bialas, P. Burda, Z. Johnston, D. A. |
| contents | We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for finite-size systems and test scaling relations describing the accumulation of zeros near the critical point against theoretical predictions for both the first and higher order transition regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01806 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partition function zeros of zeta-urns Bialas, P. Burda, Z. Johnston, D. A. Statistical Mechanics Mathematical Physics We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for finite-size systems and test scaling relations describing the accumulation of zeros near the critical point against theoretical predictions for both the first and higher order transition regimes. |
| title | Partition function zeros of zeta-urns |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2312.01806 |