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16 January 2021
 
  » arxiv » 1003.4478

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Universality of KPZ equation
Patricia Goncalves ; Milton Jara ;
Date 23 Mar 2010
AbstractWe 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.
Source arXiv, 1003.4478
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