P. Caputo, et A. Faggionato,, Diffusivity in one-dimensional generalized Mott variable-range hopping models, Annals of applied probability , 19(4), 2009, pp. 1459-1494
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.