Nonextensive Statistical Mechanics

290 7 Thermodynamical and Nonthermodynamical Applicationsμ ≡ 1q − 1 , k 0 ≡ κq − 1 . (7.33)Let us exhibit now a few systems whose degree distribution is precisely of thistype, in order to show later what the connection is between this type of networksand nonextensive statistical concepts [789].7.8.1 The Natal ModelFor convenience – and also as an homage – we shall refer to this growth model [790]as the Natal one because all four co-authors have deep connections with that seashoretown of the North-East of Brazil. See Figs. 7.95, 7.96, 7.97, 7.98, and 7.99.Fig. 7.95 Typical N = 250 network for (a) (α G ,α A ) = (1, 0) and (b) (α G ,α A ) = (1, 4). Thestarting site at (X, Y ) = (0, 0) is indicated with a larger circle. Notice the spontaneous emergenceof hubs (from [790]).