{ "id": "cond-mat/0602315", "version": "v1", "published": "2006-02-13T18:58:14.000Z", "updated": "2006-02-13T18:58:14.000Z", "title": "Zero temperature Glauber dynamics on complex networks", "authors": [ "Claudio Castellano", "Romualdo Pastor-Satorras" ], "comment": "20 pages, 10 figures", "journal": "J. Stat. Mech. P05001 (2006).", "doi": "10.1088/1742-5468/2006/05/P05001", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power-law degreedistribution. Application of mean-field theory yields as main prediction that for symmetric disordered initial conditions the mean time to reach full order is finite or diverges as a logarithm of the system size N, depending on the exponent of the degree distribution. Extensive numerical simulations contradict these results and clearly show that the mean-field assumption is not appropriate to describe this problem.", "revisions": [ { "version": "v1", "updated": "2006-02-13T18:58:14.000Z" } ], "analyses": { "keywords": [ "zero temperature glauber dynamics", "complex networks", "symmetric disordered initial conditions", "mean-field theory yields", "reach full order" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }