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

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