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

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

2008-06-02

arxiv.org/abs/0806.0350v2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 78 (2008) 011120

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.78.011120

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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