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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.05816 |
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| _version_ | 1866909099116986368 |
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| author | Bouley, A. Landim, C. |
| author_facet | Bouley, A. Landim, C. |
| contents | We consider a one-dimensional gradient symmetric exclusion process in mild contact with boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non-linear second-order parabolic equation with non-linear Robin boundary conditions. We prove the dynamical large deviations principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05816 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs Bouley, A. Landim, C. Probability We consider a one-dimensional gradient symmetric exclusion process in mild contact with boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non-linear second-order parabolic equation with non-linear Robin boundary conditions. We prove the dynamical large deviations principle. |
| title | Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs |
| topic | Probability |
| url | https://arxiv.org/abs/2402.05816 |