Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices

Details Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices

2006-02-23

arxiv.org/abs/cond-mat/0602563v3

Int. J. Mod. Phys. C17 (2006) 1273

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures in 12 eps files, RevTex4

Scientific paper

10.1142/S0129183106009849

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Two examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase transition is observed in this system. The calculated values of the critical noise parameter are q_c=0.091(2) and q_c=0.134(3) for (3,4,6,4) and (3^4,6) Archimedean lattices, respectively. The critical exponents beta/nu, gamma/nu and 1/nu for this model are 0.103(6), 1.596(54), 0.872(85) for (3,4,6,4) and 0.114(3), 1.632(35), 0.978(104) for (3^4,6) Archimedean lattices. These results differs from the usual Ising model results and the majority-vote model on so-far studied regular lattices or complex networks. The effective dimensionality of the system [D_{eff}(3,4,6,4)=1.802(55) and D_{eff}(3^4,6)=1.860(34)] for these networks are reasonably close to the embedding dimension two.

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