The condensation in non-growing complex networks under Boltzmann limit

Details The condensation in non-growing complex networks under Boltzmann limit The condensation in non-growing complex networks under Boltzmann limit

2009-12-25

arxiv.org/abs/0912.4934v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

revtex4, 4 pages, 5 ps figures

Scientific paper

We extend the Bianconi-Barab\'asi (B-B) fitness model to the non-growing complex network with fixed number of nodes and links. It is found that the statistical physics of this model makes it an appropriate representation of the Boltzmann statistics in the context of complex networks. The phase transition of this extended model is illustrated with numerical simulation and the corresponding "critical temperature" $T_c$ is identified. We note that the "non-condensation phase" in $T > T_c$ regime is different with "fit-get-rich" (FGR) phase of B-B model and that the connectivity degree distribution P(k) deviates from power-law distribution at given temperatures.

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