{ "id": "0905.4878", "version": "v1", "published": "2009-05-29T14:39:29.000Z", "updated": "2009-05-29T14:39:29.000Z", "title": "Second-order dynamic transition in a p=2 spin-glass model", "authors": [ "Kristina Van Duijvendijk", "Robert L. Jack", "Frédéric Van Wijland" ], "doi": "10.1103/PhysRevE.81.011110", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that the dynamics in the low-temperature (spin glass) phase of the model take place at a second-order phase transition between dynamically active and inactive trajectories. We also show that the same behaviour is found in a related model of a three-dimensional ferromagnet.", "revisions": [ { "version": "v1", "updated": "2009-05-29T14:39:29.000Z" } ], "analyses": { "subjects": [ "05.40.-a", "75.10.Nr", "64.70.qj" ], "keywords": [ "second-order dynamic transition", "spin-glass model", "ruelles thermodynamic formalism", "second-order phase transition", "disordered p-spin model" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2010, "month": "Jan", "volume": 81, "number": 1, "pages": "011110" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvE..81a1110V" } } }