Anomalous relaxation and self-organization in non-equilibrium processes

Ibrahim Fatkullin; Konstantin Kladko; Igor Mitkov; A. R. Bishop

doi:10.1103/physreve.63.067102

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Anomalous relaxation and self-organization in non-equilibrium processes

Ibrahim Fatkullin·Konstantin Kladko·Igor Mitkov·A. R. Bishop

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Abstract

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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Ibrahim Fatkullin, Konstantin Kladko, Igor Mitkov, A. R. Bishop. 2000-09-02. Anomalous relaxation and self-organization in non-equilibrium processes. https://doi.org/10.1103/physreve.63.067102

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