Crossover to the KPZ equation

We consider the weakly asymmetric simple exclusion process and we show that the density field is governed by an Ornstein-Uhlenbeck process for strength asymmetry n2-γ if γϵ (1=2; 1), while for γ= 1=2 it is an energy solution of the KPZ equation.

Bibliographic Details
Main Author: Gonçalves, Patrícia (author)
Other Authors: Jara, Milton (author)
Format: conferencePaper
Language:eng
Published: 2010
Subjects:
Kpz equation
Crossover
Weakly asymmetric simple exclusion
Equilibrium fluctuations
Online Access:http://hdl.handle.net/1822/25232
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/25232
Description
Summary:We consider the weakly asymmetric simple exclusion process and we show that the density field is governed by an Ornstein-Uhlenbeck process for strength asymmetry n2-γ if γϵ (1=2; 1), while for γ= 1=2 it is an energy solution of the KPZ equation.

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