MICROSCOPIC MODEL FOR THE LOGARITHMIC SIZE EFFECT ON THE CURIE POINT IN BARABÁSI–ALBERT NETWORKS

Agata Aleksiejuk
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Agata Aleksiejuk: Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland;

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 10, 1415-1418

Abstract: We found that numbers of densely connected clusters in Barabási–Albert (BA) networks follow the exponential distribution. Heuristic arguments presented in the paper allow us to deduce that the critical temperature of the Ising model on the BA network is closely related to critical temperature of the largest densely connected cluster within the network. The arguments explain the logarithmic dependence of the critical temperature on the size of the network.

Keywords: Monte Carlo simulation; Curie temperature; cluster statistics (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S012918310200398X

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