MONTE CARLO SIMULATIONS OF THE ISING AND THE SZNAJD MODEL ON GROWING BARABÁSI–ALBERT NETWORKS

Abstract

The Ising model on growing Barabási–Albert networks shows the same ferromagnetic behavior as on static Barabási–Albert networks. Sznajd models on growing Barabási–Albert networks show an hysteresis-like behavior. A nearly full consensus builds up and the winning opinion depends on history. On slow growing Barabási–Albert networks a full consensus builds up. At five opinions in the Sznajd model with limited persuasion on growing Barabási–Albert networks, all odd opinions win and all even opinions loose supporters.