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

Márton Karsai, Róbert Juhász, F. 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 - 2006

Fingerprint

Nonequilibrium Phase Transitions
Weighted Networks
Scale-free Networks
Finite-size Scaling
Epidemic Spreading
scaling
Mean Field Equation
Scaling Theory
Scaling Exponent
infectious diseases
Vertex of a graph
Infection
Connectivity
Monte Carlo Simulation
exponents
Prediction
predictions
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Nonequilibrium phase transitions and finite-size scaling in weighted scale-free networks. / Karsai, Márton; Juhász, Róbert; Iglói, F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 73, No. 3, 036116, 2006.

Research output: Contribution to journalArticle

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