The Kardar-Parisi-Zhang equation - a statistical physics perspective
Statistical Mechanics
2016-01-05 v1
Abstract
The article covers the one-dimensional Kardar-Parisi-Zhang equation, weak drive limit, universality, directed polymers in a random medium, replica solutions, statistical mechanics of line ensembles, and its generalization to several components which is used to study equilibrium time correlations of anharmonic chains and of the discrete nonlinear Schr\"{o}dinger equation. The notes are an extended version of my lectures at Les Houches July 2015.
Cite
@article{arxiv.1601.00499,
title = {The Kardar-Parisi-Zhang equation - a statistical physics perspective},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:1601.00499},
year = {2016}
}
Comments
50 pages, 5 figures, to appear, Les Houches Summer School July 2015 session CIV "Stochastic processes and random matrices", Oxford University Press