Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16936
Título: | The crossover to the KPZ equation |
Autor(es): | Gonçalves, Patrícia Jara, Milton |
Palavras-chave: | Edawrd Wikinson class KPZ class |
Data: | 2010 |
Editora: | European Mathematical Society Publishing House |
Resumo(s): | In this paper we consider the one-dimensional weakly asymmetric simple exclusion process under the invariant state $\nu_{\rho}$: the Bernoulli product measure of parameter $\rho\in{(0,1)}$. We show that the limit density field is governed by an Ornstein-Uhlenbeck process for strength asymmetry $n^{2-\gamma}$ if $\gamma\in(1/2,1)$, while for $\gamma=1/2$ it is an energy solution of the KPZ equation. From this result we obtain that the fluctuations of the current of particles are Gaussian distributed for $\gamma\in(1/2,1)$, while for $\gamma=1/2$ the limit distribution is written in terms of the KPZ equation. |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/16936 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Patricia Gonçalves.pdf | Documento Principal | 165,83 kB | Adobe PDF | Ver/Abrir |