Critical phenomena in the majority voter model on two dimensional regular lattices

Abstract

In this work we studied the critical behavior of the critical point as function of the number of nearest neighbors on two dimensional regular lattices. We performed numerical simulations on triangular, hexagonal and bilayer square lattices. Using standard finite size scaling theory we found that all cases fall in the two dimensional Ising model universality class, but that the critical point value for the bilayer lattice does not follow the regular tendency that the Ising model shows.