Universality of KPZ equation
Probability
2010-03-24 v1 Statistical Mechanics
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We introduce the notion of energy solutions of the KPZ equation. Under minimal assumptions, we prove that the density fluctuations of one-dimensional, weakly asymmetric, conservative particle systems with respect to the stationary states are given by energy solutions of the KPZ equation. As a consequence, we prove that the Cole-Hofp solutions are also energy solutions of the KPZ equation.
Keywords
Cite
@article{arxiv.1003.4478,
title = {Universality of KPZ equation},
author = {Patricia Goncalves and Milton Jara},
journal= {arXiv preprint arXiv:1003.4478},
year = {2010}
}
Comments
35 pages