Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
Statistical Mechanics
2009-11-11 v1
Abstract
Three models from statistical physics can be analyzed by employing space-time determinantal processes: (1) crystal facets, in particular the statistical properties of the facet edge, and equivalently tilings of the plane, (2) one-dimensional growth processes in the Kardar-Parisi-Zhang universality class and directed last passage percolation, (3) random matrices, multi-matrix models, and Dyson's Brownian motion. We explain the method and survey results of physical interest.
Keywords
Cite
@article{arxiv.cond-mat/0512011,
title = {Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:cond-mat/0512011},
year = {2009}
}
Comments
Lecture Notes: Fundamental Problems in Statistical Mechanics XI, Leuven, September 4 - 16, 2005