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

Kristina van Duijvendijk (1) , Grégory Schehr (2) , Frédéric van Wijland (1)

1 MSC - Matière et Systèmes Complexes
2 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

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.

Mots clés: disordered systems; ageing; large deviations; dynamical transition

Domaines: Mécanique statistique [cond-mat.stat-mech]; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Kristina van Duijvendijk, Grégory Schehr, Frédéric van Wijland. Slow relaxation, dynamic transitions and extreme value statistics in disordered systems. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 78 (1), pp.011120. ⟨10.1103/PhysRevE.78.011120⟩. ⟨hal-00284367v2⟩