Date
2008
Lien vers un document non conservé dans cette base
http://arxiv.org/abs/0710.2320v1
Indexation documentaire
Probabilités et mathématiques appliquées
Subject
Random walk in a random environment; subcritical percolation; anomalous transport; anomalous diffusion; environment seen from the particle; coupling
Nom de la revue
Journal of Applied Probability
Volume
45
Numéro
3
Date de publication
2008
Pages article
689-702
Nom de l'éditeur
Applied Probability Trust
Auteur
Simenhaus, François
Comets, Francis
Type
Article accepté pour publication ou publié
Résumé en anglais
We study a continuous-time random walk on the d-dimensional lattice, subject to a drift and an attraction to large clusters of a subcritical Bernoulli site percolation. We find two distinct regimes: a ballistic one, and a subballistic one taking place when the attraction is strong enough. We identify the speed in the former case, and the algebraic rate of escape in the latter case. Finally, we discuss the diffusive behavior in the case of zero drift and weak attraction.
