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A κ-deformed model of growing complex networks with fitness

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  • Stella, Massimo
  • Brede, Markus

Abstract

The Barabási–Bianconi (BB) fitness model can be solved by a mapping between the original network growth model to an idealized bosonic gas. The well-known transition to Bose–Einstein condensation in the latter then corresponds to the emergence of “super-hubs” in the network model. Motivated by the preservation of the scale-free property, thermodynamic stability and self-duality, we generalize the original extensive mapping of the BB fitness model by using the nonextensive Kaniadakis κ-distribution. Through numerical simulation and mean-field calculations we show that deviations from extensivity do not compromise qualitative features of the phase transition. Analysis of the critical temperature yields a monotonically decreasing dependence on the nonextensive parameter κ.

Suggested Citation

  • Stella, Massimo & Brede, Markus, 2014. "A κ-deformed model of growing complex networks with fitness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 360-368.
    • Handle: RePEc:eee:phsmap:v:407:y:2014:i:c:p:360-368
    DOI: 10.1016/j.physa.2014.04.009
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    References listed on IDEAS

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    1. Fabio Clementi & Mauro Gallegati & Giorgio Kaniadakis, 2012. "A new model of income distribution: the κ-generalized distribution," Journal of Economics, Springer, vol. 105(1), pages 63-91, January.
    2. G. Kaniadakis, 2009. "Maximum entropy principle and power-law tailed distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 3-13, July.
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