Majority-vote model on triangular, honeycomb and Kagome lattices

On Archimedean lattices the Ising model exhibits spontaneous ordering Three 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) = 0 089(5) q(c) = 0 078(3) and q(c) = 0 114(2) for honeycomb Kagome and triangular lattices respectively The critical exponents beta/nu gamma/nu and 1/nu for this model are 0 15(5) 1 64(5) and 0 87(5) 0 14(3) 1 64(3) and 0 86(6) 0 12(4) 1 59(5) and 1 08(6) for honeycomb Kagome and triangular lattices respectively These results differ from the usual Ising model results and the majority-vote model on so-far studied regular lattices or complex networks The effective dimensionalities of the system D-eff = 1 96(5) (honeycomb) D-eff = 1 92(4) (Kagome) and D-eff = 1 83(5) (triangular) for these networks are just compatible to the embedding dimension two Crown Copyright (C) 2010 Published by Elsevier B V All rights reserved