Topological phase transitions of random networks

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dc.creatorDerenyi, Imre
dc.creatorFarkas, Illes
dc.creatorPalla, Gergely
dc.creatorVicsek, Tamas
dc.date2003-06-06
dc.date2003-06-11
dc.date.accessioned2026-07-07T02:51:43Z
dc.date.available2026-07-07T02:51:43Z
dc.descriptionTo provide a phenomenological theory for the various interesting transitions in restructuring networks we employ a statistical mechanical approach with detailed balance satisfied for the transitions between topological states. This enables us to establish an equivalence between the equilibrium rewiring problem we consider and the dynamics of a lattice gas on the edge-dual graph of a fully connected network. By assigning energies to the different network topologies and defining the appropriate order parameters, we find a rich variety of topological phase transitions, defined as singular changes in the essential feature(s) of the global connectivity as a function of a parameter playing the role of the temperature. In the ``critical point'' scale-free networks can be recovered.
dc.description4 pages, 3 figures, submitted, corrected and added references
dc.identifierhttps://arxiv.org/abs/cond-mat/0306170
dc.identifierhttp://arxiv.org/abs/cond-mat/0306170
dc.identifierPhysica A 334, 583 (2004)
dc.identifierdoi:10.1016/j.physa.2003.10.083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21566
dc.subjectStatistical Mechanics
dc.titleTopological phase transitions of random networks
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