Painlev\'e Functions in Statistical Physics
Probability
2011-04-01 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review recent progress in limit laws for the one-dimensional asymmetric simple exclusion process (ASEP) on the integer lattice. The limit laws are expressed in terms of a certain Painlev\'e II function. Furthermore, we take this opportunity to give a brief survey of the appearance of Painlev\'e functions in statistical physics.
Keywords
Cite
@article{arxiv.0912.2362,
title = {Painlev\'e Functions in Statistical Physics},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:0912.2362},
year = {2011}
}
Comments
Revised version updates some references