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arXiv · 1712.09733

Quenched mean-field theory for the majority-vote model on complex networks

Feng Huang·Hanshuang Chen·Chuansheng Shen
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Abstract

The majority-vote (MV) model is one of the simplest nonequilibrium Ising-like model that exhibits a continuous order-disorder phase transition at a critical noise. In this paper, we present a quenched mean-field theory for the dynamics of the MV model on networks. We analytically derive the critical noise on arbitrary quenched unweighted networks, which is determined by the largest eigenvalue of a modified network adjacency matrix. By performing extensive Monte Carlo simulations on synthetic and real networks, we find that the performance of the quenched mean-field theory is superior to a heterogeneous mean-field theory proposed in a previous paper [Chen \emph{et al.}, Phys. Rev. E 91, 022816 (2015)], especially for directed networks.

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BibTeXRIS

Feng Huang, Hanshuang Chen, Chuansheng Shen. 2017-12-28. Quenched mean-field theory for the majority-vote model on complex networks. https://doi.org/10.1209/0295-5075%2F120%2F18003

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