Slow relaxation, dynamic transitions, and extreme value statistics in disordered systems.
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.
van Duijvendijk
K
K
Laboratoire Matière et Systèmes Complexes, CNRS UMR 7057, Université de Paris VII, 10 rue Alice Domon et Léonie Duquet, Paris Cedex 13, France.
Schehr
G
G
van Wijland
F
F