{ "id": "cond-mat/0504666", "version": "v1", "published": "2005-04-26T09:59:37.000Z", "updated": "2005-04-26T09:59:37.000Z", "title": "Nonequilibrium phase transitions and finite size scaling in weighted scale-free networks", "authors": [ "Márton Karsai", "Róbert Juhász", "Ferenc Iglói" ], "comment": "6 pages, 5 figures", "journal": "Phys. Rev. E73, 036116 (2006)", "doi": "10.1103/PhysRevE.73.036116", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn", "physics.soc-ph" ], "abstract": "We consider nonequilibrium phase transitions in weighted scale-free networks, in which highly connected nodes, which are created earlier in time are partially immunized. For epidemic spreading we solve the dynamical mean-field equations and discuss finite-size scaling theory. The theoretical predictions are confronted with the results of large scale Monte Carlo simulations on the weighted Barab\\'asi-Albert network. Local scaling exponents are found different at a typical site and at a node with very large connectivity.", "revisions": [ { "version": "v1", "updated": "2005-04-26T09:59:37.000Z" } ], "analyses": { "keywords": [ "nonequilibrium phase transitions", "weighted scale-free networks", "finite size scaling", "large scale monte carlo simulations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }