Fluid dynamical equations and transport coefficients of relativistic gases with non-extensive statistics

Abstract

We derive equations for fluid dynamics from a non-extensive Boltzmann transport equation consistent with Tsallis' non-extensive entropy formula. We evaluate transport coefficients employing the relaxation time approximation and investigate non-extensive effects in leading order dissipative phenomena at relativistic energies, like heat conductivity, shear and bulk viscosity.

9 pages, 5 figures. Some small corrections in the text and in the first figure caption; accepted for publication in Physical Review C

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• Nonextensive Nuclear Liquid-Gas Phase Transition
• Chiral phase transition in linear sigma model with non-extensive statistical mechanics
• Multiplicity Dependence of Shear Viscosity, Isothermal Compressibility and Speed of Sound in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Dissipative Properties and Isothermal Compressibility of Hot and Dense Hadron Gas using Non-extensive Statistics
• Nuclear and Quark Matter at High Temperature
• Possible Formation of a Perfect Fluid in $pp$, $p$-Pb, Xe-Xe and Pb-Pb Collisions at the Large Hadron Collider Energies: A Color String Percolation Approach
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• The theoretical description of the transverse momentum spectra: a unified model
• On nonadditive anisotropic relativistic hydrodynamics
• Dark Matter Freeze Out with Tsallis Statistics in the Early Universe
• Analytical calculations of the Quantum Tsallis thermodynamic variables