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

Ana L. Acuña-Lara^* and Francisco Sastre^†

Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Campus León de la Universidad de Guanajuato, AP E-143, CP 37150, León, Guanajuato, México

^*ana_lara@fisica.ugto.mx
^†sastre@fisica.ugto.mx

Phys. Rev. E 86, 041123 – Published 15 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.041123

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, Kim, and 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.

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