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.
Publié le : 2009-08-15
Classification:
Random walk in random environment,
point process,
invariance principle,
diffusion coefficient,
spectral gap,
isoperimetric constant,
60K37,
60G55,
82C41
@article{1248700624,
author = {Caputo, P. and Faggionato, A.},
title = {Diffusivity in one-dimensional generalized Mott variable-range hopping models},
journal = {Ann. Appl. Probab.},
volume = {19},
number = {1},
year = {2009},
pages = { 1459-1494},
language = {en},
url = {http://dml.mathdoc.fr/item/1248700624}
}
Caputo, P.; Faggionato, A. Diffusivity in one-dimensional generalized Mott variable-range hopping models. Ann. Appl. Probab., Tome 19 (2009) no. 1, pp. 1459-1494. http://gdmltest.u-ga.fr/item/1248700624/