{ "id": "cond-mat/0204455", "version": "v4", "published": "2002-04-21T16:11:45.000Z", "updated": "2002-09-17T12:10:18.000Z", "title": "Mean field solution of the Ising model on a Barabasi-Albert network", "authors": [ "Ginestra Bianconi" ], "comment": "6 pages, 1 figure", "doi": "10.1016/S0375-9601(02)01232-X", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "The mean field solution of the Ising model on a Barabasi-Albert scale-free network with ferromagnetic coupling between linked spins is presented. The critical temperature $T_c$ for the ferromagnetic to paramagnetic phase transition (Curie temperature) is infinite and the effective critical temperature for a finite size system increases as the logarithm of the system size in agreement with recent numerical results of Aleksiejuk, Holyst and Stauffer.", "revisions": [ { "version": "v4", "updated": "2002-09-17T12:10:18.000Z" } ], "analyses": { "keywords": [ "mean field solution", "ising model", "barabasi-albert network", "paramagnetic phase transition", "finite size system increases" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }