Non-equilibrium mean-field theories on scale-free networks

Abstract

Many non-equilibrium processes on scale-free networks present anomalous critical behavior that is not explained by standard mean-field theories. We propose a systematic method to derive stochastic equations for mean-field order parameters that implicitly account for the degree heterogeneity. The method is used to correctly predict the dynamical critical behavior of some binary spin models and reaction-diffusion processes. The validity of our non-equilibrium theory is furtherly supported by showing its relation with the generalized Landau theory of equilibrium critical phenomena on networks.

4 pages, no figures, major changes in the structure of the paper

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Cited by in corpus (4)

• Critical noise of majority-vote model on complex networks
• Critical behavior of the Ising model in annealed scale-free networks
• Degree Correlation in Scale-Free Graphs
• Statistically consistent coarse-grained simulations for critical phenomena in complex networks