{ "id": "cond-mat/0108392", "version": "v1", "published": "2001-08-24T09:40:55.000Z", "updated": "2001-08-24T09:40:55.000Z", "title": "XY model in small-world networks", "authors": [ "Beom Jun Kim", "H. Hong", "Petter Holme", "Gun Sang Jeon", "Petter Minnhagen", "M. Y. Choi" ], "comment": "5 pages, accepted in PRE", "journal": "Phys. Rev. E 64, 056135 (2001).", "doi": "10.1103/PhysRevE.64.056135", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn", "cond-mat.supr-con" ], "abstract": "The phase transition in the XY model on one-dimensional small-world networks is investigated by means of Monte-Carlo simulations. It is found that long-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition for any nonzero rewiring probability. Nature of the phase transition is discussed in comparison with the globally-coupled XY model.", "revisions": [ { "version": "v1", "updated": "2001-08-24T09:40:55.000Z" } ], "analyses": { "keywords": [ "phase transition", "one-dimensional small-world networks", "globally-coupled xy model", "finite-temperature transition", "monte-carlo simulations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }