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• W2002805455 abstract "The majority-vote model with noise is one of the simplest nonequilibrium statistical model that has been extensively studied in the context of complex networks. However, the relationship between the critical noise where the order-disorder phase transition takes place and the topology of the underlying networks is still lacking. In the paper, we use the heterogeneous mean-field theory to derive the rate equation for governing the model's dynamics that can analytically determine the critical noise $f_c$ in the limit of infinite network size $Nrightarrow infty$. The result shows that $f_c$ depends on the ratio of ${leftlangle k rightrangle }$ to ${leftlangle k^{3/2} rightrangle }$, where ${leftlangle k rightrangle }$ and ${leftlangle k^{3/2} rightrangle }$ are the average degree and the $3/2$ order moment of degree distribution, respectively. Furthermore, we consider the finite size effect where the stochastic fluctuation should be involved. To the end, we derive the Langevin equation and obtain the potential of the corresponding Fokker-Planck equation. This allows us to calculate the effective critical noise $f_c(N)$ at which the susceptibility is maximal in finite size networks. We find that the $f_c-f_c(N)$ decays with $N$ in a power-law way and vanishes for $Nrightarrow infty$. All the theoretical results are confirmed by performing the extensive Monte Carlo simulations in random $k$-regular networks, Erdos-R'enyi random networks and scale-free networks." @default.
• W2002805455 created "2016-06-24" @default.
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• W2002805455 date "2015-02-24" @default.
• W2002805455 modified "2023-10-17" @default.
• W2002805455 title "Critical noise of majority-vote model on complex networks" @default.
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• W2002805455 doi "https://doi.org/10.1103/physreve.91.022816" @default.
• W2002805455 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/25768561" @default.
• W2002805455 hasPublicationYear "2015" @default.
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