Universality of KPZ equation

Details Universality of KPZ equation Universality of KPZ equation

2010-03-23

arxiv.org/abs/1003.4478v1

Mathematics

Probability

35 pages

Scientific paper

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.

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