Finite size scaling of current fluctuations in the totally asymmetric exclusion process
Statistical Mechanics
2015-05-20 v1
Abstract
We study the fluctuations of the current J(t) of the totally asymmetric exclusion process with open boundaries. Using a density matrix renormalization group approach, we calculate the cumulant generating function of the current. This function can be interpreted as a free energy for an ensemble in which histories are weighted by exp(-sJ(t)). We show that in this ensemble the model has a first order space-time phase transition at s=0. We numerically determine the finite size scaling of the cumulant generating function near this phase transition, both in the non-equilibrium steady state and for large times.
Keywords
Cite
@article{arxiv.1010.5139,
title = {Finite size scaling of current fluctuations in the totally asymmetric exclusion process},
author = {Mieke Gorissen and Carlo Vanderzande},
journal= {arXiv preprint arXiv:1010.5139},
year = {2015}
}
Comments
18 pages, 11 figures