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- W4323030104 abstract "We consider the Majority Vote model coupled with scale-free networks. Recent works point to a non-universal behavior of the Majority Vote model, where the critical exponents depend on the connectivity while the network's effective dimension $D_mathrm{eff}$ is unity for a degree distribution exponent $5/2<gamma<7/2$. We present a finite-size theory of the Majority Vote Model for uncorrelated networks and present generalized scaling relations with good agreement with Monte-Carlo simulation results. The presented finite-size theory has two main sources of size dependence. The first source is an external field describing a mass media influence on the consensus formation and the second source is the scale-free network cutoff. The model indeed presents non-universal critical behavior where the critical exponents depend on the degree distribution exponent $5/2<gamma<7/2$. For $gamma geq 7/2$, the model is on the same universality class of the Majority Vote model on Erdos-Renyi random graphs, while for $gamma=7/2$, the critical behavior presents additional logarithmic corrections." @default.
- W4323030104 created "2023-03-04" @default.
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- W4323030104 date "2023-03-01" @default.
- W4323030104 modified "2023-09-28" @default.
- W4323030104 title "Droplet Finite-Size Scaling of the Majority Vote Model on Quenched Scale-Free Networks" @default.
- W4323030104 doi "https://doi.org/10.48550/arxiv.2303.00454" @default.
- W4323030104 hasPublicationYear "2023" @default.
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