Majority-vote model on a dynamic small-world network

• We study the robustness of social consensus to noise via the majority-vote model with noise on a dynamic small-world network.
• The critical behavior of the majority-vote model on a 2D dynamic small-world network is determined.
• Findings are consistent with the conjecture that dynamic and static network model share a universality class.

Dynamic small-world networks combine short-range interactions within a fixed neighborhood with stochastic long-range interactions. The probability of a long-range link occurring instead of a short-range one is a measure of the mobility of a population. Here, the critical properties of the majority-vote model with noise on a two-dimensional dynamic small-world lattice are investigated via Monte Carlo simulation and finite size scaling analyses. We construct the order–disorder phase diagram and find the critical exponents associated with the continuous phase transition. Findings are consistent with previous results indicating that a model’s transitions on static and dynamic small-world networks are in the same universality class.