Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-08-25
R. L. Jack and P. Sollich, J. Stat. Mech. (2009) P11011
Physics
Condensed Matter
Statistical Mechanics
29 pages, 7 figs. Final version, some extra context and references added
Scientific paper
10.1088/1742-5468/2009/11/P11011
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 generalises previous results for a duality between trap and barrier models. We use the resulting insights into the symmetries of these models to develop a real-space renormalisation scheme that can be implemented computationally and allows rather accurate prediction of propagation in these models. We also discuss the relation of this renormalisation scheme to earlier analytical treatments.
Jack Robert L.
Sollich Peter
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