Produção Nacional
Revisado por pares
Crossover to the KPZ Equation
2011; Birkhäuser; Volume: 13; Issue: 4 Linguagem: Inglês
10.1007/s00023-011-0147-7
ISSN1424-0661
AutoresPatrícia Gonçalves, Milton Jara,
Tópico(s)Theoretical and Computational Physics
ResumoWe characterize the crossover regime to the KPZ equation for a class of one-dimensional weakly asymmetric exclusion processes. The crossover depends on the strength asymmetry $an^{2-\gamma}$ ($a,\gamma>0$) and it occurs at $\gamma=1/2$. We show that the density field is a solution of an Ornstein-Uhlenbeck equation if $\gamma\in(1/2,1]$, while for $\gamma=1/2$ it is an energy solution of the KPZ equation. The corresponding crossover for the current of particles is readily obtained.
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