Damage spreading in the majority-vote model on small-world networks

We use the damage spreading technique to study the dynamical phase diagram and critical behavior of the isotropic majority-vote model on small-world networks generated by rewiring two-dimensional square lattices. The phase diagram exhibits a chaotic-frozen phase transition at a critical noise parameter qc(p) which is a monotonically increasing function of the probability p of having long-range interactions. For the correlation length critical exponent, we obtain the mean-field value ν=12, for all systems with p>0, whereas the exponent ratio β/ν and the dynamical critical exponent z are both dependent on the fraction of shortcuts introduced in the system.