Antiferromagnetic majority voter model on square and honeycomb lattices

作者：Sastre Francisco^*; Henkel Malte

来源：Physica A: Statistical Mechanics and Its Applications , 2016, 444: 897-904.

DOI：10.1016/j.physa.2015.10.098

• Antiferromagnetic
• Majority voter model
• Finite-size scaling
• Ising model
• Universality class

An antiferromagnetic version of the well-known majority voter model on square and honeycomb lattices is proposed. Monte Carlo simulations give evidence for a continuous order-disorder phase transition in the stationary state in both cases. Precise estimates of the critical point are found from the combination of three cumulants, and our results are in good agreement with the reported values of the equivalent ferromagnetic systems. The critical exponents 1/nu, gamma/nu and beta/nu were found. Their values indicate that the stationary state of the antiferromagnetic majority voter model belongs to the Ising model universality class.

• 出版日期2016-2-15