Monte Carlo simulations of the Ising and the Sznajd model on growing Barabasi - Albert networks

Abstract

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.

6 pages including 3 figures, for IJMPC

References in corpus (2)

• Statistical mechanics of complex networks
• Ferromagnetic Phase Transition in Barabasi-Albert Networks

Cited by in corpus (6)

• Statistical physics of social dynamics
• The Sznajd Consensus Model with Continuous Opinions
• Consequence of reputation in the Sznajd consensus model
• Renormalizing Sznajd model on complex networks taking into account the effects of growth mechanisms
• Competition among reputations in the 2D Sznajd model: Spontaneous emergence of democratic states
• Stationary States of a Random Copying Mechanism over a Complex Networks