| Full text | |
| Author(s): |
Total Authors: 3
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| 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
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| 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: | 11/21089-4 - Large deviation properties of the ASEP with random rates |
| Grantee: | Serguei Popov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 09/51139-3 - Aranhas moleculares sobre grafos e passeios aleatorios em meio aleatorio |
| Grantee: | Christophe Frédéric Gallesco |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 09/52379-8 - Modelagem estocastica de sistemas interagentes |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |