Anomalous relaxation and self-organization in non-equilibrium processes

• Main Authors: Fatkullin, Ibrahim, Kladko, Konstantin, Mitkov, Igor, Bishop, A. R
• Format: Journal Article
• Language: English
• Published: 21-08-2000
• Subjects: Physics - Materials Science; Physics - Soft Condensed Matter; Physics - Statistical Mechanics
• DOI: 10.48550/arxiv.cond-mat/0008309

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.