Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909384879112192 |
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| author | van Meurs, Patrick Tsunoda, Kenkichi Xu, Lu |
| author_facet | van Meurs, Patrick Tsunoda, Kenkichi Xu, Lu |
| contents | We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in the particle system and is linked to fluid dynamics equations. Our main contributions to previous results are the extension of the parameter space and the focus on local particle jumps. Our proof uses the relative entropy method. The main novelties in the proof are a Boltzmann-Gibbs principle (a replacement lemma) and a spectral gap estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision van Meurs, Patrick Tsunoda, Kenkichi Xu, Lu Probability We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in the particle system and is linked to fluid dynamics equations. Our main contributions to previous results are the extension of the parameter space and the focus on local particle jumps. Our proof uses the relative entropy method. The main novelties in the proof are a Boltzmann-Gibbs principle (a replacement lemma) and a spectral gap estimate. |
| title | Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision |
| topic | Probability |
| url | https://arxiv.org/abs/2402.10375 |