Mott law as upper bound for a random walk in a random environment

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dc.creatorFaggionato, A.
dc.creatorMathieu, P.
dc.date2006-08-14
dc.date2007-04-02
dc.date.accessioned2026-07-07T07:54:52Z
dc.date.available2026-07-07T07:54:52Z
dc.descriptionWe consider a random walk on the support of an ergodic simple point process on R^d, d>1, furnished with independent energy marks. The jump rates of the random walk decay exponentially in the jump length and depend on the energy marks via a Boltzmann-type factor. This is an effective model for the phonon-induced hopping of electrons in disordered solids in the regime of strong Anderson localization. Under mild assumptions on the point process we prove an upper bound of the asymptotic diffusion matrix of the random walk in agreement with Mott law. A lower bound in agreement with Mott law was proved in \cite{FSS}.
dc.description22 pages. Additional results and corrections.
dc.identifierhttps://arxiv.org/abs/math-ph/0608033
dc.identifierhttp://arxiv.org/abs/math-ph/0608033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126775
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject60K37; 60G55; 82C41
dc.titleMott law as upper bound for a random walk in a random environment
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