We investigate the Majority-Vote Model with two states (−1,+1) and a noise
q on Apollonian networks. The main result found here is the presence of the
phase transition as a function of the noise parameter q. We also studies de
effect of redirecting a fraction p of the links of the network. By means of
Monte Carlo simulations, we obtained the exponent ratio γ/ν,
β/ν, and 1/ν for several values of rewiring probability p. The
critical noise was determined qc​ and U∗ also was calculated. The
effective dimensionality of the system was observed to be independent on p,
and the value Deff​≈1.0 is observed for these networks. Previous
results on the Ising model in Apollonian Networks have reported no presence of
a phase transition. Therefore, the results present here demonstrate that the
Majority-Vote Model belongs to a different universality class as the
equilibrium Ising Model on Apollonian Network.Comment: 5 pages, 5 figure