Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/24264
Título: | A stochastic Burgers equation from a class of microscopic interactions |
Autor(es): | Gonçalves, Patrícia Jara, Milton Sethuraman, Sunder |
Palavras-chave: | KPZ equation Burgers Weakly asymmetric Zero-range Kinetically constrained Equilibrium fluctuations Speed-change Fluctuations weakly asymetric |
Data: | 2015 |
Editora: | IMS |
Revista: | The Annals of Probability |
Citação: | Gonçalves, P., Jara, M., & Sethuraman, S. (2015). A stochastic burgers equation from a class of microscopic interactions. Annals of Probability, 43(1), 286-338. doi: 10.1214/13-aop878 |
Resumo(s): | We consider a class of nearest-neighbor weakly asymmetric mass conservative particle systems evolving on $\mathbb{Z}$, which includes zero-range and types of exclusion processes, starting from a perturbation of a stationary state. When the weak asymmetry is of order $O(n^\gamma)$ for $1/2<\gamma\leq 1$, we show that the scaling limit of the fluctuation field, as seen across process characteristics, is a generalized Ornstein-Uhlenbeck process. However, at the critical weak asymmetry when $\gamma = 1/2$, we show that all limit points solve a martingale problem which may be interpreted in terms of a stochastic Burgers equation derived from taking the gradient of the KPZ equation. The proofs make use of a sharp `Boltzmann-Gibbs' estimate which improves on earlier bounds. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/24264 |
DOI: | 10.1214/13-aop878 |
ISSN: | 0091-1798 |
Versão da editora: | http://www.imstat.org/aop/ |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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gjs_final1.pdf | Documento Principal | 485,76 kB | Adobe PDF | Ver/Abrir |