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A Limit Result for a System of Particles in Random Environment

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Abstract

We consider an infinite system of particles in one dimension, each particle performs independent Sinai’s random walk in random environment. Considering an instant t, large enough, we prove a result in probability showing that the particles are trapped in the neighborhood of well defined points of the lattice depending on the random environment, t and the starting points of the particles.

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Authors and Affiliations

  1. Laboratoire MAPMO, C.N.R.S. UMR 6628, Fédération Denis-Poisson, Université d’Orléans, Orléans, France

    Pierre Andreoletti

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  1. Pierre Andreoletti
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Correspondence to Pierre Andreoletti.

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Supported by GREFI-MEFI and Departimento di Mathematica, Universita di Roma II “Tor Vergata”, Italy.

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Andreoletti, P. A Limit Result for a System of Particles in Random Environment. J Stat Phys 131, 235–246 (2008). https://doi.org/10.1007/s10955-008-9497-z

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  • DOI: https://doi.org/10.1007/s10955-008-9497-z

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