{ "id": "cond-mat/0008309", "version": "v2", "published": "2000-08-22T00:20:46.000Z", "updated": "2000-09-02T18:01:03.000Z", "title": "Anomalous relaxation and self-organization in non-equilibrium processes", "authors": [ "Ibrahim Fatkullin", "Konstantin Kladko", "Igor Mitkov", "A. R. Bishop" ], "comment": "submitted to PRL", "doi": "10.1103/PhysRevE.63.067102", "categories": [ "cond-mat.stat-mech", "cond-mat.mtrl-sci", "cond-mat.soft" ], "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.", "revisions": [ { "version": "v2", "updated": "2000-09-02T18:01:03.000Z" } ], "analyses": { "keywords": [ "non-equilibrium processes", "anomalous relaxation", "universal stretched-exponential form", "study thermal relaxation", "system exhibiting stretched-exponential relaxation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }