DLR Equations for the Superstable Bose Gas at any Temperature and Activity
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911378006081536 |
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| author | Bellot, Guillaume Dereudre, David Maïda, Mylène |
| author_facet | Bellot, Guillaume Dereudre, David Maïda, Mylène |
| contents | We construct a thermodynamic limit for the grand canonical Bose gas in dimension $d\geqslant1$ (in its Feynman-Kac representation) with superstable interaction at any inverse temperature $β>0$ and any chemical potential $μ\in\mathbb{R}$. Our infinite volume model is naturally a distribution over configurations of finite loops and possibly interlacements. We prove the limiting process to solve a new class of DLR equations involving random permutations and Brownian paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | DLR Equations for the Superstable Bose Gas at any Temperature and Activity Bellot, Guillaume Dereudre, David Maïda, Mylène Mathematical Physics Probability We construct a thermodynamic limit for the grand canonical Bose gas in dimension $d\geqslant1$ (in its Feynman-Kac representation) with superstable interaction at any inverse temperature $β>0$ and any chemical potential $μ\in\mathbb{R}$. Our infinite volume model is naturally a distribution over configurations of finite loops and possibly interlacements. We prove the limiting process to solve a new class of DLR equations involving random permutations and Brownian paths. |
| title | DLR Equations for the Superstable Bose Gas at any Temperature and Activity |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2410.10225 |