Exclusion processes with non-reversible boundary: hydrodynamics and large deviations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916496797597696 |
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| author | Landim, Claudio Mangi, João Pedro Salvador, Beatriz |
| author_facet | Landim, Claudio Mangi, João Pedro Salvador, Beatriz |
| contents | We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For appropriate choices of the boundary rates, these partial differential equations have more than one stationary solution. We prove the dynamical large deviations principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17653 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exclusion processes with non-reversible boundary: hydrodynamics and large deviations Landim, Claudio Mangi, João Pedro Salvador, Beatriz Probability Mathematical Physics 60J27, 60K35, 82C22, 60F10, 60F17 We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For appropriate choices of the boundary rates, these partial differential equations have more than one stationary solution. We prove the dynamical large deviations principle. |
| title | Exclusion processes with non-reversible boundary: hydrodynamics and large deviations |
| topic | Probability Mathematical Physics 60J27, 60K35, 82C22, 60F10, 60F17 |
| url | https://arxiv.org/abs/2411.17653 |