{ "id": "cond-mat/0602192", "version": "v2", "published": "2006-02-07T20:48:30.000Z", "updated": "2006-08-03T05:06:07.000Z", "title": "Irreversible growth of binary mixtures on small-world networks", "authors": [ "Julián Candia" ], "comment": "7 pages, 7 figures; added/removed references and modified presentation. To appear in PRE", "journal": "Phys. Rev. E 74, 031101 (2006)", "doi": "10.1103/PhysRevE.74.031101", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "Binary mixtures growing on small-world networks under far-from-equilibrium conditions are studied by means of extensive Monte Carlo simulations. For any positive value of the shortcut fraction of the network ($p>0$), the system undergoes a continuous order-disorder phase transition, while it is noncritical in the regular lattice limit ($p=0$). Using finite-size scaling relations, the phase diagram is obtained in the thermodynamic limit and the critical exponents are evaluated. The small-world networks are thus shown to trigger criticality, a remarkable phenomenon which is analogous to similar observations reported recently in the investigation of equilibrium systems.", "revisions": [ { "version": "v2", "updated": "2006-08-03T05:06:07.000Z" } ], "analyses": { "keywords": [ "small-world networks", "binary mixtures", "irreversible growth", "extensive monte carlo simulations", "regular lattice limit" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }