SIMULATION OF ISING MODEL ON UNDIRECTED NONLINEAR BARABÁSI-ALBERT NETWORKS
MUNEER A. SUMOUR *
Department of Physics, Al-Aqsa University, P.O.4051, Gaza, Gaza Strip, Palestine
F. W. S. LIMA
Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Píau, 64049-550, Teresina - PI, Brazil
D. STAUFFER
Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland, Germany
*Author to whom correspondence should be addressed.
Abstract
In the standard Barabási-Albert growth of a scale-free network, a new node n selects m neighbors from among the earlier added nodes j, with a probability proportional to the number kj of neighbors which the candidate j has at that time. If the probability instead is proportional to 
we have a nonlinear Barabási-Albert network (Onody and de Castro 2004). Now we put Ising spins, up or down, on all nodes of the final network and check for ferromagnetic Curie temperatures, as a function of α, m and network size N.
Keywords: Barabási-Albert networks, Ising model, nonlinear