Consistent nonadditive approach and nuclear equation of state

Abstract

By using a $q$-calculus, the Walecka many-body field theory was studied in the context of the Tsallis framework. The most important aspect of the application of the $q$-calculus to the nonadditive formulation of QHD-I is that it naturally emerges as a thermodynamically consistent theory.

References in corpus (36)

• Recent Progress in Quantum Hadrodynamics
• Transverse-momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 7 TeV
• A possible deformed algebra and calculus inspired in nonextensive thermostatistics
• Measurements of Strange Particle Production in $p+p$ Collisions at $\sqrt{s}$= 200 GeV
• Transverse momentum and pseudorapidity distributions of charged hadrons in pp collisions at sqrt(s) = 0.9 and 2.36 TeV
• Production of pions, kaons and protons in pp collisions at $\sqrt{s}=900$ GeV with ALICE at the LHC
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Generalized Statistics and Solar Neutrinos
• Relativistic Thermodynamics: Transverse Momentum Distributions in High-Energy Physics
• Generalized algebra within a nonextensive statistics
• Identified charged hadron production in p+p collisions at sqrt(s)=200 and 62.4 GeV
• Strange Particle Production in pp Collisions at sqrt(s) = 0.9 and 7 TeV
• Non-Extensive Approach to Quark Matter
• Power laws in elementary and heavy-ion collisions - A story of fluctuations and nonextensivity?
• Nonlinear Relativistic and Quantum Equations with a Common Type of Solution
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Burning of an hadronic star into a quark or a hybrid star
• Nonextensive statistical effects in protoneutron stars
• Non-extensive statistical effects in high-energy collisions
• Examine the species and beam-energy dependence of particle spectra using Tsallis Statistics
• Nonextensive statistical effects in the quark-gluon plasma formation at relativistic heavy-ion collisions energies
• Warm stellar matter with deconfinement: application to compact stars
• Thermodynamic Consistency of the $q$-Deformed Fermi-Dirac Distribution in Nonextensive Thermostatics
• Thermodynamic Derivation of the Tsallis and Rényi Entropy Formulas and the Temperature of Quark-Gluon Plasma
• On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics
• Nonextensive effects on the relativistic nuclear equation of state
• Non-extensivity Parameter of Thermodynamical Model of Hadronic Interactions at LHC energies
• Ideal gas provides q-entropy
• Nonextensive statistical effects in the hadron to quark-gluon phase transition
• Nonextensive Quantum H-Theorem
• Nonextensive statistical effects on the relativistic nuclear equation of state
• On the Density Dependent Nuclear Matter Compressibility
• Nonextensive statistical effects and strangeness production in hot and dense nuclear matter
• Nonextensive effects on the phase structure of QHD
• Nonextensive Nuclear Liquid-Gas Phase Transition
• Nonextensive relativistic nuclear and subnuclear equation of state

Cited by in corpus (12)

• Systematic Analysis of the Non-extensive Statistical Approach in High Energy Particle Collisions - Experiment vs. Theory
• Nonextensive Nambu Jona-Lasinio model of QCD matter revisited
• An example of the interplay of nonextensivity and dynamics in the description of QCD matter
• Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics
• Non-extensive distributions for a relativistic Fermi Gas
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Generalized Nonlinear Proca Equation and its Free-Particle Solutions
• Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model
• Momentum Distribution and Correlation due to mass difference caused by power-like distribution
• Dynamical nonextensivity or nonextensive dynamics?
• Scaling of soft QGP signatures in relativistic lead, xenon and oxygen collisions in EPOS4
• Nonextensive quasiparticle description of QCD matter