Anomalous relaxation and self-organization in non-equilibrium processes

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-cooperati...

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Main Authors: Fatkullin, Ibrahim, Kladko, Konstantin, Mitkov, Igor, Bishop, A. R
Format: Journal Article
Language:English
Published: 21-08-2000
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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.
AbstractList 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.
Author Kladko, Konstantin
Mitkov, Igor
Fatkullin, Ibrahim
Bishop, A. R
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  surname: Mitkov
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  givenname: A. R
  surname: Bishop
  fullname: Bishop, A. R
BackLink https://doi.org/10.48550/arXiv.cond-mat/0008309$$DView paper in arXiv
https://doi.org/10.1103/PhysRevE.63.067102$$DView published paper (Access to full text may be restricted)
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Snippet We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization...
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SubjectTerms Physics - Materials Science
Physics - Soft Condensed Matter
Physics - Statistical Mechanics
Title Anomalous relaxation and self-organization in non-equilibrium processes
URI https://arxiv.org/abs/cond-mat/0008309
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