{ "id": "cond-mat/0402543", "version": "v1", "published": "2004-02-21T20:39:26.000Z", "updated": "2004-02-21T20:39:26.000Z", "title": "Landau theory of glassy dynamics", "authors": [ "Satya N. Majumdar", "Dibyendu Das", "Jane' Kondev", "Bulbul Chakraborty" ], "comment": "4 pages, 2 figures", "doi": "10.1103/PhysRevE.70.060501", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering trajectories rapidly diminishes as the ordered ground-state is approached. This leads to an asymmetry in the effective transition rates which results in a non-exponential relaxation of the order-parameter fluctuations and a Vogel-Fulcher-Tammann divergence of the relaxation times, typical of a glass transition. We argue that the Landau model provides a general framework for studying glassy dynamics in a variety of systems.", "revisions": [ { "version": "v1", "updated": "2004-02-21T20:39:26.000Z" } ], "analyses": { "keywords": [ "glassy dynamics", "landau theory", "landau model", "energy lowering trajectories rapidly diminishes", "order parameter space" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }