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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Localization for a Random Walk in Slowly Decreasing Random Potential

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Author(s):
Gallesco, Christophe [1] ; Popov, Serguei [1] ; Schuetz, Gunter M. [2]
Total Authors: 3
Affiliation:
[1] Univ Campinas UNICAMP, Dept Stat, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil
[2] Forschungszentrum Julich, Inst Complex Syst, D-52425 Julich - Germany
Total Affiliations: 2
Document type: Journal article
Source: Journal of Statistical Physics; v. 150, n. 2, p. 285-298, JAN 2013.
Web of Science Citations: 1
Abstract

We consider a continuous time random walk X in a random environment on a{''}currency sign(+) such that its potential can be approximated by the function V:a{''}e(+)-> a{''}e given by where sigma W a Brownian motion with diffusion coefficient sigma > 0 and parameters b, alpha are such that b > 0 and 0 <alpha < 1/2. We show that P-a.s. (where P is the averaged law) with . In fact, we prove that by showing that there is a trap located around (with corrections of smaller order) where the particle typically stays up to time t. This is in sharp contrast to what happens in the ``pure{''} Sinai's regime, where the location of this trap is random on the scale ln(2) t. (AU)

FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support type: Research Projects - Thematic Grants
FAPESP's process: 11/21089-4 - Large deviation properties of the ASEP with random rates
Grantee:Serguei Popov
Support type: Research Grants - Visiting Researcher Grant - International