Order of current variance and diffusivity in the asymmetric simple exclusion process
Probability
2010-07-27 v3
Abstract
We prove that the variance of the current across a characteristic is of order t^{2/3} in a stationary asymmetric simple exclusion process, and that the diffusivity has order t^{1/3}. The proof proceeds via couplings to show the corresponding results for the expected deviations and variance of a second class particle.
Cite
@article{arxiv.math/0608400,
title = {Order of current variance and diffusivity in the asymmetric simple exclusion process},
author = {Marton Balazs and Timo Seppalainen},
journal= {arXiv preprint arXiv:math/0608400},
year = {2010}
}
Comments
28 pages, revised version after referee's report. A picture is also added now