Critical phenomena of the Majority voter model in a three dimensional cubic lattice

Abstract

In this work we investigate the critical behavior of the three dimensional simple-cubic Majority voter model. Using numerical simulations and a combination of two different cumulants we evaluated the critical point with a higher accuracy than the previous numerical result found by Yang et al. [J.- S. Yang, I.-M. Kim and W. Kwak, Phys. Rev. E 77, 051122 (2008)]. Using standard Finite Size Scaling theory and scaling corrections we find that the critical exponents ν, γ and β are the same as those of the three dimensional Ising model.

5 pages, 5 figures. Accepted in PRE

References in corpus (3)

• Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices
• Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
• $W$ : an alternative phenomenological coupling parameter for model systems

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• Stochastic thermodynamics of opinion dynamics
• Quenched mean-field theory for the majority-vote model on complex networks
• Large deviation induced phase switch in an inertial majority-vote model
• Ferromagnetic and spin-glass like transition in the $q$-neighbor Ising model on random graphs
• Short-time Monte Carlo simulation of the majority-vote model on cubic lattices
• Finite-Size Scaling of the majority-voter model above the upper critical dimension
• Heat-Bath and Metropolis Dynamics in Ising-like Models on Directed Regular Random Graphs