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arXiv · 1003.4478

Universality of KPZ equation

Patricia Goncalves·Milton Jara
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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.

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Patricia Goncalves, Milton Jara. 2010-03-23. Universality of KPZ equation. https://arxiv.org/abs/1003.4478

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