1208.6521 (Ana L. Acuña-Lara et al.)

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

Ana L. Acuña-Lara, Francisco Sastre

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 {\nu}, {\gamma} and {\beta} are the same as those of the three dimensional Ising model.

View original: http://arxiv.org/abs/1208.6521