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

Kristina Van Duijvendijk; Grégory Schehr; Frédéric Van Wijland

doi:10.1103/physreve.78.011120

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arXiv · 0806.0350

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

Kristina Van Duijvendijk·Grégory Schehr·Frédéric Van Wijland

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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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Kristina Van Duijvendijk, Grégory Schehr, Frédéric Van Wijland. 2008-09-03. Slow relaxation, dynamic transitions and extreme value statistics in disordered systems. https://doi.org/10.1103/physreve.78.011120

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