Quantitative equilibrium fluctuations for interacting particle systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909076740374528 |
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| author | Gu, Chenlin Mourrat, Jean-Christophe Nitzschner, Maximilian |
| author_facet | Gu, Chenlin Mourrat, Jean-Christophe Nitzschner, Maximilian |
| contents | We consider a class of interacting particle systems in continuous space of non-gradient type, which are reversible with respect to Poisson point processes with constant density. For these models, a rate of convergence was recently obtained in 10.1214/22-AOP1573 for certain finite-volume approximations of the bulk diffusion matrix. Here, we show how to leverage this to obtain quantitative versions of a number of results capturing the large-scale fluctuations of these systems, such as the convergence of two-point correlation functions and the Green-Kubo formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative equilibrium fluctuations for interacting particle systems Gu, Chenlin Mourrat, Jean-Christophe Nitzschner, Maximilian Probability Analysis of PDEs 82C22, 35B27, 60K35 We consider a class of interacting particle systems in continuous space of non-gradient type, which are reversible with respect to Poisson point processes with constant density. For these models, a rate of convergence was recently obtained in 10.1214/22-AOP1573 for certain finite-volume approximations of the bulk diffusion matrix. Here, we show how to leverage this to obtain quantitative versions of a number of results capturing the large-scale fluctuations of these systems, such as the convergence of two-point correlation functions and the Green-Kubo formula. |
| title | Quantitative equilibrium fluctuations for interacting particle systems |
| topic | Probability Analysis of PDEs 82C22, 35B27, 60K35 |
| url | https://arxiv.org/abs/2401.10080 |