Griffiths phases in the contact process on complex networks

Géza Ódor, Róbert Juhász, Claudio Castellano, Miguel A. Muñoz

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

Dynamical processes occurring on top of complex networks have become an exciting area of research. Quenched disorder plays a relevant role in general dynamical processes and phase transitions, but the effect of topological quenched disorder on the dynamics of complex networks has not been systematically studied so far. Here, we provide heuristic and numerical analyses of the contact process defined on some complex networks with topological disorder. We report on Griffiths phases and other rare region effects, leading rather generically to anomalously slow relaxation in generalized small-world networks. In particular, it is illustrated that Griffiths phases can emerge as the consequence of pure topological heterogeneity if the topological dimension of the network is finite.

Original languageEnglish
Title of host publicationNon-Equilibrium Statistical Physics Today - Proceedings of the 11th Granada Seminar on Computational and Statistical Physics
Pages172-178
Number of pages7
DOIs
Publication statusPublished - Apr 27 2011
Event11th Granada Seminar on Computational and Statistical Physics - La Herradura, Spain
Duration: Sep 13 2010Sep 17 2010

Publication series

NameAIP Conference Proceedings
Volume1332
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other11th Granada Seminar on Computational and Statistical Physics
CountrySpain
CityLa Herradura
Period9/13/109/17/10

Keywords

  • Griffiths phase
  • contact process
  • network

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Ódor, G., Juhász, R., Castellano, C., & Muñoz, M. A. (2011). Griffiths phases in the contact process on complex networks. In Non-Equilibrium Statistical Physics Today - Proceedings of the 11th Granada Seminar on Computational and Statistical Physics (pp. 172-178). (AIP Conference Proceedings; Vol. 1332). https://doi.org/10.1063/1.3577622