Non-extensive statistics, relativistic kinetic theory and fluid dynamics

Abstract

Experimental particle spectra can be successfully described by power-law tailed energy distributions characteristic to canonical equilibrium distributions associated to Rényi's or Tsallis' entropy formula - over a wide range of energies, colliding system sizes, and produced hadron sorts. In order to derive its evolution one needs a corresponding dynamical description of the system which results in such final state observables. The equations of relativistic fluid dynamics are obtained from a non-extensive Boltzmann equation consistent with Tsallis' non-extensive $q$-entropy formula. The transport coefficients like shear viscosity, bulk viscosity, and heat conductivity are evaluate based on a linearized collision integral.

11 pages, corrected typos and more discussions added; EPJA: Topical issue on "Relativistic Hydro- and Thermodynamics"

References in corpus (10)

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• Nonextensive/dissipative correspondence in relativistic hydrodynamics
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Cited by in corpus (12)

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• Generalized Ensemble Theory with Non-extensive Statistics
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond
• Nuclear and Quark Matter at High Temperature
• Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics
• On nonadditive anisotropic relativistic hydrodynamics
• Non-extensive Statistics and a Systematic Study of Meson-Spectra at LHC Energy $\sqrt{s_{NN}}=2.76$ TeV
• A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions
• Multicomponent Modified Boltzmann Equation and Thermalization