Cécile Monthus and Thomas Garel 2008 J. Phys. A: Math. Theor. 41 255002 doi:10.1088/1751-8113/41/25/255002
Non-equilibrium dynamics of disordered systems: understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
Cécile Monthus and Thomas Garel
Show affiliationsWe show that an appropriate description of the non-equilibrium dynamics of disordered systems is obtained through a strong disorder renormalization procedure in configuration space that we define for any master equation with transitions rates 
between configurations. The idea is to eliminate iteratively the configuration with the highest exit rate 
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 
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.
- PACS
- MSC
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82C28 Dynamic renormalization group methods (See also 81T17)
82C44 Dynamics of disordered systems (random Ising systems, etc.)
- Subjects
- Dates
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Issue 25 (27 June 2008)
Received 31 March 2008, in final form 1 April 2008
Published 27 May 2008
A Corrigendum for this article has been published in 2008 J. Phys. A: Math. Theor. 41 499801
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Non-equilibrium dynamics of disordered systems: understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
Cécile Monthus and Thomas Garel 2008 J. Phys. A: Math. Theor. 41 255002
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