Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915452408561664 |
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| author | Padilla-Garza, David Peilen, Luke Thoma, Eric |
| author_facet | Padilla-Garza, David Peilen, Luke Thoma, Eric |
| contents | We consider the microscopic statistics of a Coulomb gas in $\mathbb{R}^2$ at intermediate temperatures. In particular, we show that the microscopic point process associated to the Coulomb gas converges to a homogeneous Poisson point process at intermediate temperature regimes $βN \rightarrow \infty$ and $β\sqrt{N} \log N \rightarrow 0$, extending previous results. Our approach relies on a novel quantitative asymptotic description of correlation functions, which is of its own interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08198 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes Padilla-Garza, David Peilen, Luke Thoma, Eric Probability Mathematical Physics We consider the microscopic statistics of a Coulomb gas in $\mathbb{R}^2$ at intermediate temperatures. In particular, we show that the microscopic point process associated to the Coulomb gas converges to a homogeneous Poisson point process at intermediate temperature regimes $βN \rightarrow \infty$ and $β\sqrt{N} \log N \rightarrow 0$, extending previous results. Our approach relies on a novel quantitative asymptotic description of correlation functions, which is of its own interest. |
| title | Poisson Statistics for Coulomb Gases at Intermediate Temperature Regimes |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2507.08198 |