{ "id": "cond-mat/0301510", "version": "v1", "published": "2003-01-27T09:45:19.000Z", "updated": "2003-01-27T09:45:19.000Z", "title": "Dynamic critical behavior of the XY model in small-world networks", "authors": [ "Kateryna Medvedyeva", "Petter Holme", "Petter Minnhagen", "Beom Jun Kim" ], "comment": "To appear in Phys. Rev. E", "journal": "Phys. Rev. E 67, p.p. 036118(1)-036118(4) (2003)", "doi": "10.1103/PhysRevE.67.036118", "categories": [ "cond-mat.dis-nn" ], "abstract": "The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to equilibrium. Static and dynamic critical exponents are extracted through the use of the dynamic finite-size scaling analysis. It is concluded that the dynamic universality class at the transition is of the mean-field nature. We also confirm numerically that the value of dynamic critical exponent is independent of the rewiring probability P for P > 0.03.", "revisions": [ { "version": "v1", "updated": "2003-01-27T09:45:19.000Z" } ], "analyses": { "keywords": [ "dynamic critical behavior", "small-world network", "xy model", "dynamic critical exponent", "dynamic monte carlo simulations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }