Hydrodynamic limit for two-species exclusion processes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2009
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| _version_ | 1866918443939266560 |
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| author | Sasada, Makiko |
| author_facet | Sasada, Makiko |
| contents | We consider two-species exclusion processes on the d-dimensional discrete torus taking the effects of exchange, creation and annihilation into account. The model is, in general, of nongradient type. We prove that the (charged) particle density converges to the solution of a certain nonlinear diffusion equation under the diffusive rescaling in space and time. We also prove a lower bound on the spectral gap for the generator of the process confined in a finite volume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0910_3994 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit for two-species exclusion processes Sasada, Makiko Probability Mathematical Physics 60K35, 82C22 We consider two-species exclusion processes on the d-dimensional discrete torus taking the effects of exchange, creation and annihilation into account. The model is, in general, of nongradient type. We prove that the (charged) particle density converges to the solution of a certain nonlinear diffusion equation under the diffusive rescaling in space and time. We also prove a lower bound on the spectral gap for the generator of the process confined in a finite volume. |
| title | Hydrodynamic limit for two-species exclusion processes |
| topic | Probability Mathematical Physics 60K35, 82C22 |
| url | https://arxiv.org/abs/0910.3994 |