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

JOHANNES BONNEKOH
2003 International Journal of Modern Physics C  
The Ising model shows on growing Barabasi - Albert networks the same ferromagnetic behavior as on static Barabasi - Albert networks. Sznajd models on growing Barabasi - Albert networks show an hysteresis like behavior. Nearly a full consensus builds up and the winning opinion depends on history. On slow growing Barabasi - Albert networks a full consensus builds up. At five opinions in the Sznajd model with limited persuasion on growing Barabasi - Albert networks, all odd opinions win and all even opinions loose supporters.
doi:10.1142/s0129183103005364 fatcat:yc2mneskr5gv3myt6l44a2x5fu