Local structure of current fluctuations in diffusive systems beyond one dimension
Statistical Mechanics
2016-03-21 v2
Abstract
In order to illuminate the properties of current fluctuations in more than one dimension, we use a lattice-based Markov process driven into a non-equilibrium steady state. Specifically, we perform a detailed study of the particle current fluctuations in a two-dimensional zero-range process with open boundary conditions and probe the influence of the underlying geometry by comparing results from a square and a triangular lattice. Moreover, we examine the structure of local currents corresponding to a given global current fluctuation and comment on the role of spatial inhomogeneities for the discrepancies observed in testing some recent fluctuation symmetries.
Cite
@article{arxiv.1508.07945,
title = {Local structure of current fluctuations in diffusive systems beyond one dimension},
author = {Rodrigo Villavicencio-Sanchez and Rosemary J. Harris},
journal= {arXiv preprint arXiv:1508.07945},
year = {2016}
}
Comments
18 pages, 7 figures