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Crossover to the KPZ equation | | Patrícia Gonçalves
; Milton Jara
; | | Date: |
16 Apr 2010 | | Abstract: | We characterize the crossover regime to the KPZ equation for a class of
weakly asymmetric exclusion processes. This 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 governed by an Ornstein-Uhlenbeck if
$gammain(1/2,1)$, 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. | | Source: | arXiv, 1004.2726 | | Services: | Forum | Review | PDF | Favorites | |
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