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Transport Properties of Markovian Anderson Model

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Abstract:

We consider the Anderson model in l 2(ℤd), d≥ 1, with potentials whose values at any site of the lattice are Markovian independent random functions of time. The upper and lower bounds for the moments |X|p (t, ο) with probability 1 are obtained. We obtain also upper and lower bounds for the averaged diffusion constant and upper bounds for the correlation function. The results present diffusive behaviour in dimensions d=1,2 up to logarithmic factors.

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Authors and Affiliations

  1. Department of Mathematics, University of Orléans, 45067 Orléans Cedex, France.¶E-mail: Serguei.Tcherem@univ-orleans.fr, , , , , , FR

    Serguei Tcheremchantsev

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  1. Serguei Tcheremchantsev
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Received: 3 December 1997 / Accepted: 15 January 1998

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Tcheremchantsev, S. Transport Properties of Markovian Anderson Model . Comm Math Phys 196, 105–131 (1998). https://doi.org/10.1007/s002200050416

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  • DOI: https://doi.org/10.1007/s002200050416

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