Slow relaxation, dynamic transitions and extreme value statistics in disordered systems
Statistical Mechanics
2008-09-03 v2 Disordered Systems and Neural Networks
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.
Cite
@article{arxiv.0806.0350,
title = {Slow relaxation, dynamic transitions and extreme value statistics in disordered systems},
author = {Kristina Van Duijvendijk and Grégory Schehr and Frédéric Van Wijland},
journal= {arXiv preprint arXiv:0806.0350},
year = {2008}
}