Moderate deviation principles for a reaction diffusion model in non-equilibrium
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910571963613184 |
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| author | Zhao, Linjie |
| author_facet | Zhao, Linjie |
| contents | We study moderate deviations from hydrodynamic limits of a reaction diffusion model. The process is defined as the superposition of the symmetric exclusion process with a Glauber dynamics. When the process starts from a product measure with a constant density, which is a non-equilibrium measure for the process, we prove that the re-scaled density fluctuation field satisfies the moderate deviation principle. Our proof relies on the so-called main lemma developed by Jara and Menezes in [arXiv:1810.09526, 2018]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11633 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moderate deviation principles for a reaction diffusion model in non-equilibrium Zhao, Linjie Probability We study moderate deviations from hydrodynamic limits of a reaction diffusion model. The process is defined as the superposition of the symmetric exclusion process with a Glauber dynamics. When the process starts from a product measure with a constant density, which is a non-equilibrium measure for the process, we prove that the re-scaled density fluctuation field satisfies the moderate deviation principle. Our proof relies on the so-called main lemma developed by Jara and Menezes in [arXiv:1810.09526, 2018]. |
| title | Moderate deviation principles for a reaction diffusion model in non-equilibrium |
| topic | Probability |
| url | https://arxiv.org/abs/2408.11633 |