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Duality symmetries and effective dynamics in disordered hopping models


Reference:

Jack, R. L. and Sollich, P., 2009. Duality symmetries and effective dynamics in disordered hopping models. Journal of Statistical Mechanics-Theory and Experiment

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Official URL:

http://dx.doi.org/10.1088/1742-5468/2009/11/p11011

Abstract

We identify a duality transformation in one-dimensional hopping models that relates propagators in general disordered potentials linked by an up down inversion of the energy landscape. This significantly generalizes previous results on a duality between trap and barrier models. We use the resulting insights into the symmetries of these models to develop a real-space renormalization scheme that can be implemented computationally and allows rather accurate prediction of propagation in these models. We also discuss the relation of this renormalization scheme to earlier analytical treatments.

Details

Item Type Articles
CreatorsJack, R. L.and Sollich, P.
DOI10.1088/1742-5468/2009/11/p11011
DepartmentsFaculty of Science > Physics
RefereedYes
StatusPublished
ID Code17990

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