Fluctuations, correlations and the nonextensivity

Details Fluctuations, correlations and the nonextensivity Fluctuations, correlations and the nonextensivity

2006-03-07

arxiv.org/abs/cond-mat/0603157v4

PhysicaA376:279-288,2007

Physics

Condensed Matter

Statistical Mechanics

Some misprints corrected, ro pbe published in Physica A

Scientific paper

10.1016/j.physa.2006.10.042

Examples of joint probability distributions are studied in terms of Tsallis' nonextensive statistics both for correlated and uncorrelated variables, in particular it is explicitely shown how correlations in the system can make Tsallis entropy additive and that the effective nonextensivity parameter $q_N$ decreases towards unity when the number of variables $N$ increases. We demonstrate that Tsallis distribution of energies of particles in a system leads in natural way to the Negative Binomial multiplicity distribution in this system.

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