Particle current fluctuations in a variant of asymmetric Glauber model
Statistical Mechanics
2014-03-07 v1
Abstract
We study the total particle current fluctuations in a one-dimensional stochastic system of classical particles consisting of branching and death processes which is a variant of asymmetric zero-temperature Glauber dynamics. The full spectrum of a modified Hamiltonian, whose minimum eigenvalue generates the large deviation function for the total particle current fluctuations through a Legendre-Fenchel transformation, is obtained analytically. Three examples are presented and numerically exact results are compared to our analytical calculations.
Keywords
Cite
@article{arxiv.1401.1275,
title = {Particle current fluctuations in a variant of asymmetric Glauber model},
author = {S. R. Masharian and P. Torkaman and F. H. Jafarpour},
journal= {arXiv preprint arXiv:1401.1275},
year = {2014}
}
Comments
13 pages, 4 figures, accepted for publication in PRE (2014)