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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2109.07897 |
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| _version_ | 1866910828813352960 |
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| author | De Carlo, Leonardo Gabrielli, Davide Gonçalves, Patrícia |
| author_facet | De Carlo, Leonardo Gabrielli, Davide Gonçalves, Patrícia |
| contents | We construct a non reversible exclusion process with Bernoulli product invariant measure and having, in the diffusive hydrodynamic scaling, a non symmetric diffusion matrix, that can be explicitly computed. The antisymmetric part does not affect the evolution of the density but it is relevant for the evolution of the current. Switching on a weak external field we obtain a symmetric mobility matrix that is related just to the symmetric part of the diffusion matrix by an Einstein relation. We argue that this fact is typical within a class of generalized gradient models. We consider for simplicity the model in dimension $d=2$, but a similar behavior can be also obtained in higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_07897 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit of an exclusion process with vorticity De Carlo, Leonardo Gabrielli, Davide Gonçalves, Patrícia Probability We construct a non reversible exclusion process with Bernoulli product invariant measure and having, in the diffusive hydrodynamic scaling, a non symmetric diffusion matrix, that can be explicitly computed. The antisymmetric part does not affect the evolution of the density but it is relevant for the evolution of the current. Switching on a weak external field we obtain a symmetric mobility matrix that is related just to the symmetric part of the diffusion matrix by an Einstein relation. We argue that this fact is typical within a class of generalized gradient models. We consider for simplicity the model in dimension $d=2$, but a similar behavior can be also obtained in higher dimensions. |
| title | Hydrodynamic limit of an exclusion process with vorticity |
| topic | Probability |
| url | https://arxiv.org/abs/2109.07897 |