{ "id": "cond-mat/0209486", "version": "v1", "published": "2002-09-20T12:23:15.000Z", "updated": "2002-09-20T12:23:15.000Z", "title": "Mean Field Model of a Glass", "authors": [ "Victor Dotsenko" ], "comment": "11 pages", "categories": [ "cond-mat.dis-nn" ], "abstract": "In this paper we propose a simple mean-field \"toy\" model for the liquid-glass phase transition. This is the system of $N$ point-like particles confined in a finite volume of a $D$-dimensional space interacting via infinite-range oscillating potential. In the framework of the replica approach it is shown that such a system exhibits the phase transition between the high-temperature liquid phase and the low-temperature glass phase. This phase transition is described in terms of the standard one-step replica symmetry breaking scheme.", "revisions": [ { "version": "v1", "updated": "2002-09-20T12:23:15.000Z" } ], "analyses": { "keywords": [ "mean field model", "one-step replica symmetry breaking scheme", "low-temperature glass phase", "standard one-step replica symmetry breaking", "liquid-glass phase transition" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002cond.mat..9486D" } } }