Diffusivity in one-dimensional generalized Mott variable-range hopping models
Probability
2009-09-29 v2 Mathematical Physics
math.MP
Abstract
We consider random walks in a random environment which are generalized versions of well-known effective models for Mott variable-range hopping. We study the homogenized diffusion constant of the random walk in the one-dimensional case. We prove various estimates on the low-temperature behavior which confirm and extend previous work by physicists.
Cite
@article{arxiv.math/0701253,
title = {Diffusivity in one-dimensional generalized Mott variable-range hopping models},
author = {P. Caputo and A. Faggionato},
journal= {arXiv preprint arXiv:math/0701253},
year = {2009}
}
Comments
Published in at http://dx.doi.org/10.1214/08-AAP583 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)