Duality symmetries and effective dynamics in disordered hopping models

R L Jack, P Sollich

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Article numberP11011
JournalJournal of Statistical Mechanics-Theory and Experiment
Issue number2009
DOIs
Publication statusPublished - Nov 2009

Fingerprint Dive into the research topics of 'Duality symmetries and effective dynamics in disordered hopping models'. Together they form a unique fingerprint.

Cite this