Majority-vote model with heterogeneous agents on square lattice

Abstract

We study a nonequilibrium model with up-down symmetry and a noise parameter $q$ known as majority-vote model of M.J. Oliveira 1992 with heterogeneous agents on square lattice. By Monte Carlo simulations and finite-size scaling relations the critical exponents $\beta /\nu$, $\gamma /\nu$, and $1/\nu$ and points $q_c$ and $U^{\ast }$ are obtained. After extensive simulations, we obtain $\beta /\nu =0.35(1)$, $\gamma /\nu =1.23(8)$, and $1/\nu =1.05(5)$. The calculated values of the critical noise parameter and Binder cumulant are $q_c=0.1589(4)$ and $U^{\ast }=0.604(7)$. Within the error bars, the exponents obey the relation $2\beta /\nu +\gamma /\nu =2$ and the results presented here demonstrate that the majority-vote model heterogeneous agents belongs to a different universality class than the nonequilibrium majority-vote models with homogeneous agents on square lattice.

9 pages e 8 figures. arXiv admin note: substantial text overlap with arXiv:1306.0340

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Cited by in corpus (2)

• Opinion dynamics: models, extensions and external effects
• Phase transitions in the majority-vote model with two types of noises