Routes to thermodynamic limit on scale-free networks (Articolo in rivista)

Type
Label
  • Routes to thermodynamic limit on scale-free networks (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1103/PhysRevLett.100.148701 (literal)
Alternative label
  • Claudio Castellano (1); Romualdo Pastor-Satorras (2) (2008)
    Routes to thermodynamic limit on scale-free networks
    in Physical review letters (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Claudio Castellano (1); Romualdo Pastor-Satorras (2) (literal)
Pagina inizio
  • 148701 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.aps.org/doi/10.1103/PhysRevLett.100.148701 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 100 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 4 (literal)
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) SMC, INFM-CNR and Dipartimento di Fisica, \"Sapienza\" Università di Roma, P.le Aldo Moro 2, I-00185 Roma, Italy; (2) Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain (literal)
Titolo
  • Routes to thermodynamic limit on scale-free networks (literal)
Abstract
  • We show that there are two classes of finite size effects for dynamic models taking place on a scale-free topology. Some models in finite networks show a behavior that depends only on the system size N. Others present an additional distinct dependence on the upper cutoff k(c) of the degree distribution. Since the infinite network limit can be obtained by allowing k(c) to diverge with the system size in an arbitrary way, this result implies that there are different routes to the thermodynamic limit in scale-free networks. The contact process (in its mean-field version) belongs to this second class and thus our results clarify the recent discrepancy between theory and simulations with different scaling of k(c) reported in the literature. (literal)
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