Diffusivity in one-dimensional generalized Mott variable-range hopping models

Details Diffusivity in one-dimensional generalized Mott variable-range hopping models Diffusivity in one-dimensional generalized Mott variable-range hopping models

2007-01-09

arxiv.org/abs/math/0701253v2

Annals of Applied Probability 2009, Vol. 19, No. 4, 1459-1494

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/08-AAP583 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/08-AAP583

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.

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