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.

6 figures. Accepted in Phys. Rev. E

References in corpus (3)

• Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices
• Majority-vote model on triangular, honeycomb and Kagome lattices
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice

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• Large deviation induced phase switch in an inertial majority-vote model
• Antiferromagnetic majority voter model on square and honeycomb lattices
• Short-time Monte Carlo simulation of the majority-vote model on cubic lattices
• Finite-Size Scaling of the majority-voter model above the upper critical dimension
• An alternative order-parameter for non-equilibrium generalized spin models on honeycomb lattices