The imprints of nonextensive statistical mechanics in high energy collisions

Abstract

To describe high energy collisions one widely uses thermodynamical methods and concepts which follow the classical Boltzmann-Gibbs (BG) approach. In many cases, however, either some deviations from the expected behaviour are observed experimentally or it is known that the conditions necessary for BG to apply are satisfied only approximately. In other branches of physics where such situations are ubiquitous, the popular remedy is to resort, instead, to the so called nonextensive statistics, the most popular example of which is Tsallis statistics. We shall provide here an overview of possible imprints of non-extensitivity existing both in high energy cosmic ray physics and in multiparticle production processes in hadronic collisions, in particular in heavy ion collisions. Some novel proposition for the interpretation of the nonextensitivity parameter q present in such circumstances will be discussed in more detail.

Invited talk presented by G.Wilk at International Workshop on Classical and Quantum Complexity and Non-extensive Thermodynamics (Complexity 2000), Denton, University of North Texas, April 3-6, 2000. LaTeX file and 5 PS figures, 23 pages altogether. Some misprints corrected and references updated. Revised version to be published in Chaos, Solitons and Fractals (2001)

References in corpus (10)

• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• A nonextensive thermodynamical equilibrium approach in $e^{+}{e}^{-}\to hadrons$
• Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics
• Thermostatistics of q-deformed boson gas
• Large $p_t$ enhancement from freeze out
• Particle Multiplicities and Thermalization in High Energy Collisions
• Two-Particle Correlations from the q-Boson Viewpoint
• Nuclear Multifragmentation in the Non-extensive Statistics - Canonical Formulation
• Violation of the Feynman scaling law as a manifestation of nonextensivity
• Some remarks on the interpretation of degree of nonextensivity

Cited by in corpus (47)

• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
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• Consequences of temperature fluctuations in observables measured in high energy collisions
• Non-extensive Boltzmann Equation and Hadronization
• Two generalizations of the Boltzmann equation
• Estimating the inelasticity with the information theory approach
• Tsallis Distribution Decorated With Log-Periodic Oscillation
• Modified Debye-Huckel Electron Shielding and Penetration Factor
• Nonextensive effects in the Nambu--Jona-Lasinio model of QCD
• Application of nonextensive statistics to particle and nuclear physics
• Uncertainty relations in terms of Tsallis entropy
• Big Bang Nucleosynthesis with an Inhomogeneous Primordial Magnetic Field Strength
• Rapidity Spectra Analysis in Terms of Non Extensive Statistic Approach
• Color Superconductivity and Tsallis Statistics
• Nonextensive methods in turbulence and particle physics
• Non-extensive Statistics and Understanding Particle Production and Kinetic Freeze-out Process from $p_T$-spectra at 2.76 TeV
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• The imprints of superstatistics in multiparticle production processes
• Some intriguing aspects of multiparticle production processes
• Correct thermodynamic forces in Tsallis Thermodynamics: connection with Hill Nanothermodynamics
• Quasi-power laws in multiparticle production processes
• Limiting temperature from a parton gas with power-law tailed distribution
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Equivalence of volume and temperature fluctuations in power-law ensembles
• Coupling theory for counterion distributions based in Tsallis statistics
• Quasi-additivity of Tsallis entropies and correlated subsystems
• Study of QCD dynamics using small systems
• Non-exponential decays and nonextensivity
• Analyzing Non-Extensivity of $\eta$-spectra in Relativistic Heavy Ion Collisions at $\sqrt{s_{NN}}=200$ GeV
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Nuclear electron capture rate in stellar interiors and the case of 7Be
• Imprints of energy limitation in transverse momentum distributions of jets
• Extended quasi-additivity of Tsallis entropies
• Transport Equation for Small Systems and Nonadditive Entropy
• Cavity-QED tests of representations of canonical commutation relations employed in field quantization
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Two-time Green's functions and spectral density method in nonextensive quantum statistical mechanics
• The theoretical description of the transverse momentum spectra: a unified model
• Non-extensive statistics in Au-Au collisions
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV
• Duality and spatial inhomogeneity
• Nonextensive quantum statistics and saturation of the PMD-SQS optimality limit in hadron-hadron scattering
• The Spectrum of Low-$p_T$ $J/\psi$ in Heavy-Ion Collisions in a Statistical Two-Body Fractal Model
• Comment on "A Kac-potential treatment of nonintegrable interactions" by Vollmayr-Lee and Luijten
• Thermal Field Theory of the Tsallis statistics
• A unified statistical approach to explain the transverse momentum spectra in hadron-hadron collision
• Single particle spectra from information theory point of view