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arXiv · 1208.6521

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

Ana L. Acuña-Lara·Francisco Sastre
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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.

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BibTeXRIS

Ana L. Acuña-Lara, Francisco Sastre. 2012-10-04. Critical phenomena of the Majority voter model in a three dimensional cubic lattice. https://doi.org/10.1103/physreve.86.041123

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