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 -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 k.

A κ-deformed model of growing complex networks with fitness / Stella, M; Brede, M. - In: PHYSICA. A. - ISSN 0378-4371. - 407:(2014), pp. 360-368. [10.1016/j.physa.2014.04.009]

A κ-deformed model of growing complex networks with fitness

Stella M
Primo
;
2014-01-01

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 -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 k.
2014
Stella, M; Brede, M
A κ-deformed model of growing complex networks with fitness / Stella, M; Brede, M. - In: PHYSICA. A. - ISSN 0378-4371. - 407:(2014), pp. 360-368. [10.1016/j.physa.2014.04.009]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/365050
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