MAJORITY-VOTE MODEL WITH HETEROGENEOUS AGENTS ON SQUARE LATTICE

F. W. S. Lima ()
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F. W. S. Lima: Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do, Piauí, Teresina, Piauí, 64049-550, Brazil

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 11, 1-8

Abstract: We study a nonequilibrium model with up-down symmetry and a noise parameterqknown as majority-vote model (MVM) of [M. J. Oliveira,J. Stat. Phys.66, 273 (1992)] with heterogeneous agents on square lattice (SL). By Monte Carlo (MC) simulations and finite-size scaling relations, the critical exponents β∕ν, γ∕ν and 1∕ν and pointsqcandU*are obtained. After extensive simulations, we obtain β∕ν = 0.35(1), γ∕ν = 1.23(8) and 1∕ν = 1.05(5). The calculated values of the critical noise parameter and Binder cumulant areqc= 0.1589(4)andU* = 0.604(7). Within the error bars, the exponents obey the relation 2β∕ν + γ∕ν = 2 and the results presented here demonstrate that the MVM heterogeneous agents belongs to a different universality class than the nonequilibrium MVM with homogeneous agents on SL.

Keywords: Monte Carlo; majority vote; nonequilibrium; noise; 05.10.Ln; 05.70.Fh; 64.60.Fr (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500836

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