Relativistic Nonextensive Thermodynamics

Abstract

Starting from the basic prescriptions of the Tsallis' nonextensive thermostatistics, i.e. generalized entropy and normalized q-expectation values, we study the relativistic nonextensive thermodynamics and derive a Boltzmann transport equation that implies the validity of the H-theorem where a local nonextensive four-entropy density is considered. Macroscopic thermodynamic functions and the equation of state for a perfect gas are derived at the equilibrium.

10 pages, elsart, to be published in Physics Letters A

References in corpus (4)

• Non Linear Kinetics underlying Generalized Statistics
• Nonextensive Thermostatistics and the H-Theorem
• H-Theorem and Generalized Entropies Within the Framework of Non Linear Kinetics
• Anomalous diffusion in non-equilibrium relativistic heavy-ion rapidity spectra

Cited by in corpus (48)

• Non-Extensive Approach to Quark Matter
• Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions
• Nonextensive statistical effects in protoneutron stars
• Zeroth Law compatibility of non-additive thermodynamics
• Non-extensive statistical effects in high-energy collisions
• Nonextensive hydrodynamics for relativistic heavy-ion collisions
• Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies
• Generalized molecular chaos hypothesis and H-theorem: Problem of constraints and amendment of nonextensive statistical mechanics
• Thermostatistics of deformed bosons and fermions
• Extensive Renyi Statistics from Non-Extensive Entropy
• Intermediate statistics as a consequence of deformed algebra
• Basic-deformed quantum mechanics
• Relativity, nonextensivity, and extended power law distributions
• Deformed quantum mechanics and q-Hermitian operators
• Nonextensive statistical effects in the hadron to quark-gluon phase transition
• Non-extensive Statistics and Understanding Particle Production and Kinetic Freeze-out Process from $p_T$-spectra at 2.76 TeV
• From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
• Nonextensive Quantum H-Theorem
• Nonextensive statistical effects on the relativistic nuclear equation of state
• Nonextensive statistical effects and strangeness production in hot and dense nuclear matter
• Non-extensive statistics, relativistic kinetic theory and fluid dynamics
• Fluid dynamical equations and transport coefficients of relativistic gases with non-extensive statistics
• Deformed quantum statistics in two-dimensions
• Nonextensive Nuclear Liquid-Gas Phase Transition
• Envelope excitations in electronegative plasmas with electrons featuring the Tsallis distribution
• Fibonacci Oscillators in the Landau Diamagnetism problem
• Dynamics in fractal spaces
• Hadronization within the Non-Extensive Approach and the Evolution of the Parameters
• Tsallis meets Boltzmann: q-index for a finite ideal gas and its thermodynamic limit
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Application of Fibonacci oscillators in the Debye model
• Ultrarelativistic transverse momentum distribution of the Tsallis statistics
• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• Metastable and stable equilibrium states of stellar electron-nuclear plasmas
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond
• Analytical predictions of non-Gaussian distribution parameters for stellar plasmas
• Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics
• Transport Equation for Small Systems and Nonadditive Entropy
• Transverse momentum fluctuation under the Tsallis distribution at high energies
• Momentum Distribution and Correlation due to mass difference caused by power-like distribution
• Dissipative or just Nonextensive hydrodynamics? - Nonextensive/Dissipative correspondence -
• On nonadditive anisotropic relativistic hydrodynamics
• Nonlinear statistical effects in relativistic mean field theory
• Perspective on Tsallis Statistics for Nuclear and Particle Physics
• A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions
• $q$-Equilibrium of Gas in Spacetime of Multi-horizon Black Holes
• Analytical calculations of the Quantum Tsallis thermodynamic variables