Portal de Periódicos da CAPES

Artigo Acesso aberto Produção Nacional Revisado por pares

BIBTEX RIS

Stochastic Burgers equation from long range exclusion interactions

2017; Elsevier BV; Volume: 127; Issue: 12 Linguagem: Inglês

10.1016/j.spa.2017.03.022

1879-209X

Patrícia Gonçalves, Milton Jara,

Random Matrices and Applications

We consider one-dimensional exclusion processes with long jumps given by a transition probability of the form pn(⋅)=s(⋅)+γna(⋅), such that its symmetric part s(⋅) is irreducible with finite variance and its antisymmetric part is absolutely bounded by s(⋅). We prove that under diffusive time scaling and strength of asymmetry nγn→n→∞b≠0, the equilibrium density fluctuations are given by the unique energy solution of the stochastic Burgers equation.