Crossover to the KPZ Equation

Gonçalves, Patricia; Jara, Milton

Gonçalves, Patricia; Jara, Milton (2012), Crossover to the KPZ Equation, Annales Henri Poincaré, 13, 4, p. 813-826. http://dx.doi.org/10.1007/s00023-011-0147-7

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1004.2726v3

Date

2012

Journal name

Annales Henri Poincaré

Volume

Number

4; 4

Publisher

Springer

Pages

813-826

Abstract (EN)

We 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-γ (a, γ > 0) and it occurs at γ = 1/2. We show that the density field is a solution of an Ornstein-Uhlenbeck equation if (121] , while for γ = 1/2 it is an energy solution of the KPZ equation. The corresponding crossover for the current of particles is readily obtained.

Subjects / Keywords

KPZ equation