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Critical phenomena of the majority voter model in a three-dimensional cubic lattice
Ana L Acuña-Lara1, Francisco Sastre
1Departamento 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
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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