Anomalous relaxation and self-organization in nonequilibrium 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 anticooperative, 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.
Fatkullin
I
I
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
Kladko
K
K
Mitkov
I
I
Bishop
A R
AR