Non equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space

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dc.creatorMonthus, Cecile
dc.creatorGarel, Thomas
dc.date2008-02-18
dc.date2008-10-08
dc.date.accessioned2026-07-07T10:07:56Z
dc.date.available2026-07-07T10:07:56Z
dc.descriptionWe show that an appropriate description of the non-equilibrium dynamics of disordered systems is obtained through a strong disorder renormalization procedure in {\it configuration space}, that we define for any master equation with transitions rates $W ({\cal C} \to {\cal C}')$ between configurations. The idea is to eliminate iteratively the configuration with the highest exit rate $W_{out} ({\cal C})= \sum_{{\cal C}'} W ({\cal C} \to {\cal C}')$ to obtain renormalized transition rates between the remaining configurations. The multiplicative structure of the new generated transition rates suggests that, for a very broad class of disordered systems, the distribution of renormalized exit barriers defined as $B_{out} ({\cal C}) \equiv - \ln W_{out}({\cal C})$ will become broader and broader upon iteration, so that the strong disorder renormalization procedure should become asymptotically exact at large time scales. We have checked numerically this scenario for the non-equilibrium dynamics of a directed polymer in a two dimensional random medium.
dc.descriptionv2=final version
dc.identifierhttps://arxiv.org/abs/0802.2502
dc.identifierhttp://arxiv.org/abs/0802.2502
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 255002
dc.identifierdoi:10.1088/1751-8113/41/25/255002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170821
dc.subjectDisordered Systems and Neural Networks
dc.titleNon equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
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