Cusp singularities in boundary-driven diffusive systems
Statistical Mechanics
2015-10-07 v1
Abstract
Boundary driven diffusive systems describe a broad range of transport phenomena. We study large deviations of the density profile in these systems, using numerical and analytical methods. We find that the large deviation may be non-differentiable, a phenomenon that is unique to non-equilibrium systems, and discuss the types of models which display such singularities.\ The structure of these singularities is found to generically be a cusp, which can be described by a Landau free energy or, equivalently, by catastrophe theory. Connections with analogous results in systems with finite-dimensional phase spaces are drawn.
Cite
@article{arxiv.1301.1708,
title = {Cusp singularities in boundary-driven diffusive systems},
author = {Guy Bunin and Yariv Kafri and Daniel Podolsky},
journal= {arXiv preprint arXiv:1301.1708},
year = {2015}
}