KPZ equation from ASEP plus general speed-change drift
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929620937342976 |
|---|---|
| author | Yang, Kevin |
| author_facet | Yang, Kevin |
| contents | We derive the KPZ equation as a continuum limit of height functions in asymmetric simple exclusion processes with drift that depends on the local particle configuration. To our knowledge, it is a first such result for a class of particle systems without duality or explicit invariant measures. The tools developed in this paper consist of estimates on the corresponding Kolmogorov equations, giving a more robust proof of the Boltzmann-Gibbs principle. These tools are not exclusive to KPZ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10513 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | KPZ equation from ASEP plus general speed-change drift Yang, Kevin Probability 60K35, 60H17 We derive the KPZ equation as a continuum limit of height functions in asymmetric simple exclusion processes with drift that depends on the local particle configuration. To our knowledge, it is a first such result for a class of particle systems without duality or explicit invariant measures. The tools developed in this paper consist of estimates on the corresponding Kolmogorov equations, giving a more robust proof of the Boltzmann-Gibbs principle. These tools are not exclusive to KPZ. |
| title | KPZ equation from ASEP plus general speed-change drift |
| topic | Probability 60K35, 60H17 |
| url | https://arxiv.org/abs/2409.10513 |