Nonequilibrium phase transitions and finite-size scaling in weighted scale-free networks

Márton Karsai, Róbert Juhász, Ferenc Iglói

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

We consider nonequilibrium phase transitions, such as epidemic spreading, in weighted scale-free networks, in which highly connected nodes have a relatively smaller ability to transfer infection. We solve the dynamical mean-field equations and discuss finite-size scaling theory. The theoretical predictions are confronted with the results of large scale Monte Carlo simulations on the weighted Barabási-Albert network. Local scaling exponents are found different at a typical site and at a node with very large connectivity.

Original languageEnglish
Article number036116
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number3
DOIs
Publication statusPublished - Mar 22 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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