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Random walk in an external random potential and applications to aging in disordered spin systems

Grant number: 13/12645-6
Support type:Research Grants - Visiting Researcher Grant - International
Duration: January 11, 2014 - April 06, 2014
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Christophe Frédéric Gallesco
Grantee:Christophe Frédéric Gallesco
Visiting researcher: Gunter Markus Schutz
Visiting researcher institution: Forschungszentrum Jülich, Germany
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We study the behaviour of null-recurrent random walks on $\Z^+$ with a local drift that decays asymptotically in the distance $k$ from the origin with a power law with exponent $\alpha$ and an amplitude $b_k$. For the same models we investigate the meeting probabilities of independent random walks and use duality to apply these results to study aging in the Glauber-Isingspin relaxation dynamics. (AU)