Majority Vote Model on Multiplex Networks
A. Krawiecki, T. Gradowski, Grzegorz Siudem · Acta Physica Polonica A · 2018
Majority vote model on multiplex networks with two independently generated layers in the form of scale-free networks is investigated by means of Monte Carlo simulations and heterogeneous mean-eld approximation.In a version of the model under study each agent with probability 1 -q (0 ≤ q ≤ 1/2) follows the opinions of the majorities of her neighbors within both layers if these opinions are identical; otherwise, she makes decision randomly.The model exhibits second-order ferromagnetic transition as q, the parameter measuring the level of internal noise, is decreased, with critical exponents depending on the details of the degree distributions in the layers.The critical value qc of the parameter q evaluated in the heterogeneous mean-eld approximation shows quantitative agreement with that obtained from numerical simulations for a broad range of parameters characterizing the degree distributions of the layers.