Weak reservoirs are superexponentially irrelevant for misanthrope processes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917935647293440 |
|---|---|
| author | Kern, Julian |
| author_facet | Kern, Julian |
| contents | We provide a short proof for the exponential equivalence between misanthrope processes in contact with weak reservoirs and those with impermeable boundaries. As a consequence, we can derive both the hydrodynamic limit and the large deviations of the totally asymmetric simple exclusion process (TASEP) in contact with weak reservoirs. This extends a recent result which proved the hydrodynamic behaviour of a vanishing viscocity approximation of the TASEP in contact with weak reservoirs. Further applications to a class of asymmetric exclusion processes with long jumps are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17038 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weak reservoirs are superexponentially irrelevant for misanthrope processes Kern, Julian Probability 60K35, 60J27 We provide a short proof for the exponential equivalence between misanthrope processes in contact with weak reservoirs and those with impermeable boundaries. As a consequence, we can derive both the hydrodynamic limit and the large deviations of the totally asymmetric simple exclusion process (TASEP) in contact with weak reservoirs. This extends a recent result which proved the hydrodynamic behaviour of a vanishing viscocity approximation of the TASEP in contact with weak reservoirs. Further applications to a class of asymmetric exclusion processes with long jumps are discussed. |
| title | Weak reservoirs are superexponentially irrelevant for misanthrope processes |
| topic | Probability 60K35, 60J27 |
| url | https://arxiv.org/abs/2310.17038 |