Majority-vote model with degree-weighted influence on complex networks

We study the phase transition of the degree-weighted majority vote (DWMV) model on Erdos-Renyi networks (ERNs) and scale-free networks (SFNs). In this model, alpha weight parameter a adjusts the level of influence of each node on its connected neighbors. Through the Monte Carlo simulations and the finite-size scaling analysis, we find that the DWMV model on ERNs and SFNs with degree exponents lambda > 5 belongs to the mean-field Ising universality class, regardless of alpha. On SFNs with 3 < lambda < 5 the model belongs to the Ising universality class only when alpha = 0. For alpha > 0 we find that the critical exponents continuously change as a increases from alpha = 0. However, on SFNs with lambda < 3 we find that the model undergoes alpha continuous transition only for alpha = 0, but the critical exponents significantly deviate from those for the mean-field Ising model. For alpha > 0 on SFNs with lambda < 3 the model is always in the disordered phase.

Automated summary

The study reveals that the phase transition characteristics of the DWMV model on ER networks and SF networks are associated with the degree of nodes, and belong to different universality classes under different conditions.