Relativistic nonextensive thermodynamics

DOI10.1016/S0375-9601(02)00964-7zbMath0997.82021arXivcond-mat/0207353OpenAlexW3122619087MaRDI QIDQ1611180

A. Lavagno

Publication date: 21 August 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0207353

zbMATH Keywords

Boltzmann transport equation\(H\)-theoremlocal nonextensive four-entropy density

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Statistical thermodynamics (82B30)

Related Items (17)

\(q\)-deformed relativistic fermion scattering ⋮ Zubarev's nonequilibrium statistical operator method in the generalized statistics of multiparticle systems ⋮ Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics ⋮ DEFORMED QUANTUM STATISTICS IN TWO DIMENSIONS ⋮ Adiabatic thermostatistics of the two parameter entropy and the role of Lambert's \(W\)-function in its applications ⋮ Relativistic kinetic theory and non-Gaussian statistical ⋮ Dynamics in fractal spaces ⋮ Nonextensive Boltzmann transport equation: the relaxation time approximation and beyond ⋮ Weak ion-acoustic double layers in a plasma with a \(q\)-nonextensive electron velocity distribution ⋮ Semi-analytical study of variable charge dust acoustic solitary waves in a dusty plasma with a \(q\)-nonextensive ion velocity distribution ⋮ From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation ⋮ Thermostatistics of deformed bosons and fermions ⋮ Entropy of relativistic mono-atomic gas and temperature relativistic transformation in thermodynamics ⋮ Phase transition for the system of finite volume in the ϕ4 theory in the Tsallis nonextensive statistics ⋮ Metastable and stable equilibrium states of stellar electron-nuclear plasmas ⋮ Extensive Rényi statistics from non-extensive entropy ⋮ Remarks on the phenomenological Tsallis distributions and their link with the Tsallis statistics

Cites Work

• Tsallis' entropy maximization procedure revisited
• Nonextensive thermodynamic relations
• H-theorem and generalized entropies within the framework of nonlinear kinetics
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999
• Anomalous diffusion in non-equilibrium relativistic heavy-ion rapidity spectra

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