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.
DIFFUSIVITY IN ONE-DIMENSIONAL GENERALIZED MOTT VARIABLE-RANGE HOPPING MODELS / P., Caputo; Faggionato, Alessandra. - In: THE ANNALS OF APPLIED PROBABILITY. - ISSN 1050-5164. - STAMPA. - 19:4(2009), pp. 1459-1494. [10.1214/08-aap583]
DIFFUSIVITY IN ONE-DIMENSIONAL GENERALIZED MOTT VARIABLE-RANGE HOPPING MODELS
FAGGIONATO, ALESSANDRA
2009
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.File allegati a questo prodotto
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