{ "id": "cond-mat/9707193", "version": "v1", "published": "1997-07-18T15:18:52.000Z", "updated": "1997-07-18T15:18:52.000Z", "title": "Relaxation Spectra at the Glass Transition: Origin of Power Laws", "authors": [ "Michael Ignatiev", "Lei Gu", "Bulbul Chakraborty" ], "comment": "ReVTEX file with 2 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "We propose a simple dynamical model of the glass transition based on the results from a non-randomly frustrated spin model which is known to form a glassy state below a characteristic quench temperature. The model is characterized by a multi-valleyed free-energy surface which is modulated by an overall curvature. The transition associated with the vanishing of this overall curvature is reminiscent of the glass transition. In particular, the frequency-dependent response evolves from a Debye relaxation peak to a function whose high-frequency behavior is characterized by a non-trivial power law. We present both an analytical form for the response function and numerical results from Langevin simulations.", "revisions": [ { "version": "v1", "updated": "1997-07-18T15:18:52.000Z" } ], "analyses": { "keywords": [ "glass transition", "relaxation spectra", "overall curvature", "non-trivial power law", "characteristic quench temperature" ], "note": { "typesetting": "RevTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997cond.mat..7193I" } } }