Critical Short-Time Behavior of Majority-Vote Model on Scale-Free Networks

We discuss the short-time behavior of the majority vote dynamics on scale-free networks at the critical threshold. We introduce a heterogeneous mean-field theory on the critical short-time behavior of the majority-vote model on scale-free networks. In addition, we also compare the heterogeneous mean-field predictions with extensive Monte Carlo simulations of the short-time dependencies of the order parameter and the susceptibility. We obtained a closed expression for the dynamical exponent z and the time correlation exponent ν_∥. Short-time scaling is compatible with a non-universal critical behavior for 5/2 < γ < 7/2, and for γ ≥ 7/2, we have the mean-field Ising criticality with additional logarithmic corrections for γ=7/2, in the same way as the stationary scaling.