Localization for a Random Walk in Slowly Decreasing Random Potential

Autor(es)

Gallesco, Christophe ^[1] ; Popov, Serguei ^[1] ; Schuetz, Gunter M. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 150, n. 2, p. 285-298, JAN 2013.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 11/21089-4 - Grandes desvios para ASEP com taxas aleatórias
• Beneficiário: Serguei Popov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• Processo FAPESP: 09/51139-3 - Aranhas moleculares sobre grafos e passeios aleatorios em meio aleatorio
• Beneficiário: Christophe Frédéric Gallesco
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 09/52379-8 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Auxílio à Pesquisa - Temático