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Microscopic Model For The Logarithmic Size Effect On The Curie Point In Barabási–Albert Networks

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  • AGATA ALEKSIEJUK

    (Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland;
    Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland)

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.

Suggested Citation

  • Agata Aleksiejuk, 2002. "Microscopic Model For The Logarithmic Size Effect On The Curie Point In Barabási–Albert Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(10), pages 1415-1418.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:10:n:s012918310200398x
    DOI: 10.1142/S012918310200398X
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