Dynamical Critical Exponent for the Majority-Vote Model

We investigate the dynamical behavior of the isotropic majority-vote model on a square lattice using a combination of damage spreading and finite-size scaling methods. For initial damage D(0)1/2, the dynamical phase diagram exhibits a chaotic-frozen phase transition at a critical noise parameter q_c=0.0818±0.0002, while for D(0)1/2 the damage does not propagate for any value of the model's parameter 0q<1/2. From simulations at q_c, we find that the dynamical critical exponent is z=0.65±0.05.