KPZ equation in one dimension and line ensembles
Disordered Systems and Neural Networks
2009-11-11 v1
Abstract
For suitably discretized versions of the Kardar-Parisi-Zhang equation in one space dimension exact scaling functions are available, amongst them the stationary two-point function. We explain one central piece from the technology through which such results are obtained, namely the method of line ensembles with purely entropic repulsion.
Cite
@article{arxiv.cond-mat/0504589,
title = {KPZ equation in one dimension and line ensembles},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:cond-mat/0504589},
year = {2009}
}
Comments
Proceedings STATPHYS22, Bangalore, 2004