Mean field solution of the Ising model on a Barabási–Albert network

By Ginestra Bianconi. 2002

140 citations recorded by the source corpus.

Abstract The mean field solution of the Ising model on a Barabasi–Albert scale-free network with ferromagnetic coupling between linked spins is presented. The critical temperature T c for the ferromagnetic to paramagnetic phase transition (Curie temperature) is infinite and the effective critical temperature for a finite size system increases as the logarithm of the system size in agreement with recent numerical results of Aleksiejuk, Holyst and Stauffer.

Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/606929ea1be4471e3c40521e563a4d030be43c92

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In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Heterogeneity, Correlations and Financial Contagion (2011, background): “The distinctive feature of a scale free network is the existence of nodes with very different degree, and in particular the existence of hubs with a large number of connections, property that can have a large impact on both static and dynamical properties of these systems[14, 15, 16, 17].”
Critical phenomena in complex networks (2007, methodology): “(73) Equations (72) and (73) were first derived by Bianconi (2002) for the Barabási-Albert network.”