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arXiv · 0810.5752

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

F. Caccioli·L. Dall'Asta
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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.

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F. Caccioli, L. Dall'Asta. 2009-03-05. Non-equilibrium mean-field theories on scale-free networks. https://doi.org/10.1088/1742-5468%2F2009%2F10%2Fp10004

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