Slow relaxation, dynamic transitions, and extreme value statistics in disordered systems

K. van Duijvendijk, G. Schehr, and F. van Wijland
Phys. Rev. E 78, 011120 – Published 23 July 2008

Abstract

We show that the dynamics of simple disordered models, like the directed trap model and the random energy model, takes place at a coexistence point between active and inactive dynamical phases. We relate the presence of a dynamic phase transition in these models to the extreme value statistics of the associated random energy landscape.

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  • Received 27 March 2008

DOI:https://doi.org/10.1103/PhysRevE.78.011120

©2008 American Physical Society

Authors & Affiliations

K. van Duijvendijk1, G. Schehr2, and F. van Wijland1

  • 1Laboratoire Matière et Systèmes Complexes, CNRS UMR 7057, Université de Paris VII, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
  • 2Laboratoire de Physique Théorique, UMR du CNRS 8627, Université de Paris-Sud, 91405 Orsay Cedex, France

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Issue

Vol. 78, Iss. 1 — July 2008

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