Diffusivity of lattice gases
Probability
2015-06-12 v1 Mathematical Physics
math.MP
Abstract
We consider one component lattice gases with a local dynamics and a stationary product Bernoulli measure. We give upper and lower bounds on the diffusivity at an equilibrium point depending on the dimension and the local behavior of the macroscopic flux function. We show that if the model is expected to be diffusive, it is indeed diffusive, and, if it is expected to be superdiffusive, it is indeed superdiffusive.
Cite
@article{arxiv.1211.3716,
title = {Diffusivity of lattice gases},
author = {Jeremy Quastel and Benedek Valkó},
journal= {arXiv preprint arXiv:1211.3716},
year = {2015}
}
Comments
39 pages, 1 figure