Fluctuations, correlations and the nonextensivity

Abstract

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.

Some misprints corrected, ro pbe published in Physica A

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Cited by in corpus (25)

• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Glittering Glasmas
• Nonextensive hydrodynamics for relativistic heavy-ion collisions
• Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Consequences of temperature fluctuations in observables measured in high energy collisions
• Modified Debye-Huckel Electron Shielding and Penetration Factor
• Power Law in Micro-Canonical Ensemble with Scaling Volume Fluctuations
• Fractal structure and non extensive statistics
• Self-similarity in jet events following from p-p collisions at LHC
• Nonlinear statistical coupling
• The imprints of superstatistics in multiparticle production processes
• Some intriguing aspects of multiparticle production processes
• Generalized thermodynamic uncertainty relations
• Equivalence of volume and temperature fluctuations in power-law ensembles
• Fluctuation-theory constraint for extensive entropy in Monte-Carlo simulations
• Open Problems within Nonextensive Statistical Mechanics
• Specific heat and entropy of $N$-body nonextensive systems
• A risk profile for information fusion algorithms
• Analytical predictions of non-Gaussian distribution parameters for stellar plasmas
• Effects of correlated variability on information entropies in nonextensive systems
• The entropy in finite $N$-unit nonextensive systems: the ordinary average and $q$-average
• Inelasticity resulting from rapidity spectra analysis
• New method of accounting for interference contributions within a multipheriperal model
• Correspondence of multiplicity and energy distributions
• Non-Extensive Transverse Momentum Distribution For Identified Particles at $\sqrt{S_{NN}}=$ 7.7, 11.5, 19.6, 27, 39 \hspace{0.05cm} GeV