Anomalous relaxation and self-organization in non-equilibrium processes

Details Anomalous relaxation and self-organization in non-equilibrium processes Anomalous relaxation and self-organization in non-equilibrium processes

2000-08-22

arxiv.org/abs/cond-mat/0008309v2

Physics

Condensed Matter

Statistical Mechanics

submitted to PRL

Scientific paper

10.1103/PhysRevE.63.067102

We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization manifested in a universal stretched-exponential form of relaxation. We identify two types of self-organization, cooperative and anti-cooperative, which lead to fast and slow relaxation, respectively. We give a qualitative explanation for the behavior of the stretched exponent in different parameter ranges. We emphasize that this is a system exhibiting stretched-exponential relaxation without explicit disorder or frustration.

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