Singularities in large deviation functions
Abstract
Large deviation functions of configurations exhibit very different behaviors in and out of thermal equilibrium. In particular, they exhibit singularities in a broad range of non-equilibrium models, which are absent in equilibrium. These singularities were first identified in finite-dimensional systems in the weak-noise limit. Recent studies have shown that they are also present in driven diffusive systems with an infinite-dimensional configuration space. This short review describes singularities appearing in both types of systems under a unified framework, presenting a classification of singularities into two broad categories. The types of singularities which were identified for finite-dimensional cases are compared to those found in driven diffusive systems.
Cite
@article{arxiv.1505.05796,
title = {Singularities in large deviation functions},
author = {Yongjoo Baek and Yariv Kafri},
journal= {arXiv preprint arXiv:1505.05796},
year = {2015}
}
Comments
Contribution to the JSTAT Special Issue based on the Galileo Galilei Institute Workshop "Advances in Nonequilibrium Statistical Mechanics"; 31 pages, 12 figures