SIMULATION OF ISING MODEL ON UNDIRECTED NONLINEAR BARABÁSI-ALBERT NETWORKS

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Published: 2017-10-26

Page: 54-63


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


How to Cite

SUMOUR, M. A., LIMA, F. W. S., & STAUFFER, D. (2017). SIMULATION OF ISING MODEL ON UNDIRECTED NONLINEAR BARABÁSI-ALBERT NETWORKS. Journal of Applied Physical Science International, 9(2), 54–63. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/2975

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