A kappa-deformed model of growing complex networks with fitness

作者：Stella Massimo^*; Brede Markus

来源：Physica A: Statistical Mechanics and Its Applications , 2014, 407: 360-368.

DOI：10.1016/j.physa.2014.04.009

• Complex networks
• Bose-Einstein condensation
• Growing networks
• Nonextensive statistics

The Barabasi-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 kappa-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 kappa.

• 出版日期2014-8-1