On the correlations of some microscopic random systems
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909360535371776 |
|---|---|
| author | Gonçalves, P. Salvador, B. |
| author_facet | Gonçalves, P. Salvador, B. |
| contents | We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be written in terms of the generator of a two-dimensional random walk, whose jump rates are model dependent. From this, we deduce an asymptotic independence which is shared by many models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17926 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the correlations of some microscopic random systems Gonçalves, P. Salvador, B. Probability 60J27, 60K35, 82C22 We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be written in terms of the generator of a two-dimensional random walk, whose jump rates are model dependent. From this, we deduce an asymptotic independence which is shared by many models. |
| title | On the correlations of some microscopic random systems |
| topic | Probability 60J27, 60K35, 82C22 |
| url | https://arxiv.org/abs/2410.17926 |