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A k-deformed model of growing complex networks with fitness

A k-deformed model of growing complex networks with fitness
A k-deformed model of growing complex networks with fitness
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 ?.
complex networks, bose-einstein condensation, growing networks, nonextensive statistics
0378-4371
360-368
Stella, Massimo
37822c93-2522-4bc0-b840-ca32c75efbd7
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Stella, Massimo
37822c93-2522-4bc0-b840-ca32c75efbd7
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7

Stella, Massimo and Brede, Markus (2014) A k-deformed model of growing complex networks with fitness. Physica A: Statistical Mechanics and its Applications, 407, 360-368. (doi:10.1016/j.physa.2014.04.009).

Record type: Article

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 ?.

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Accepted/In Press date: 2 April 2014
Published date: 1 August 2014
Keywords: complex networks, bose-einstein condensation, growing networks, nonextensive statistics
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 363780
URI: http://eprints.soton.ac.uk/id/eprint/363780
ISSN: 0378-4371
PURE UUID: a9cea7dc-e419-457c-9801-25c9db8d3d56

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Date deposited: 04 Apr 2014 07:57
Last modified: 18 Nov 2019 20:33

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