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Nonextensive Statistical Mechanics

Nonextensive Statistical Mechanics

Nonextensive Statistical Mechanics

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296 7 Thermodynamical and Nonthermodynamical Applications10000N = 14n = n 0/[1−(β q/β 1)+(β q/β 1) e (q−1) β 1 k2 ] [1/(q−1)]N = 13q = 2 1/√β q≈〈k 〉cumulative distribution (n)100010010N = 12N = 11N = 10N = 910 410 3n 010 21/√β 110 110 01/√β q9 10 11 12 13 14N11 10 100 1000 10000kFig. 7.103 Degree distribution for Lennard–Jones clusters of N atoms. Black curves from [866,867]. Red curves: fittings with the function indicated on the figure. Inset: N-dependence of theparameters of the fitting function.Fig. 7.104 Frequency-rank distribution of words for four large text samples. In order to reveal individualvariations these corpora are built with literary works of four different authors, respectively(from [791]).

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