Critical Behavior Ising Model S = 1, 3/2 and 2 on Directed Networks

Abstract

Barabási‐Albert and small‐world networks. In this model, the order‐disorder phase transition of the order parameter is well defined on small‐world networks. We calculate the value of the critical temperature Tc for several values of rewiring probability p of the directed small‐world network. For directed small‐world networks we obtained a second‐order phase transition for p = 0.2 and first‐order phase transition for p = 0.8. On directed Barabási‐Albert we show that phase transition do not exist for Ising model with spin S = 1, 3/2 and 2.

Citation

Lima, F.W.S., Luz, E.M.S. and Costa Filho, R.N. (2009), "Critical Behavior Ising Model S = 1, 3/2 and 2 on Directed Networks", Multidiscipline Modeling in Materials and Structures, Vol. 5 No. 3, pp. 223-228. https://doi.org/10.1163/157361109789017041