Nonextensive effects on the relativistic nuclear equation of state

Abstract

The Walecka many-body field theory is investigated in the context of quantum nonextensive statistical mechanics, characterized by a dimensionless parameter $q$. We consider nuclear matter described statistically by a power-law distribution which generalizes the standard Fermi-Dirac distribution ($q=1$). We show that the scalar and vector meson fields become more intense due to the nonextensive effects ($q\ne 1$). From a numerical treatment, we also show that as the nonextensive parameter $q$ increases, the nucleon effective mass diminishes and the equation of state becomes stiffer. Finally, the usual Maxwell construction seems not to be necessary for isotherms with temperatures in the range 14 Mev$<k_{B}T<$20 MeV.

6 pages, 8 figures, LaTeX

References in corpus (21)

• Non Linear Kinetics underlying Generalized Statistics
• Generalized Statistics and Solar Neutrinos
• Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive
• Nonextensive Thermostatistics and the H-Theorem
• Nonextensive models for earthquakes
• Two-parameter deformations of logarithm, exponential, and entropy: A consistent framework for generalized statistical mechanics
• Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics
• The nonextensive parameter and Tsallis distribution for self-gravitating systems
• Power-law tails from multiplicative noise
• Validity of the second law in nonextensive quantum thermodynamics
• Dark matter distribution function from non-extensive statistical mechanics
• Constraining nonextensive statistics with plasma oscillation data
• Non-extensive Boltzmann Equation and Hadronization
• Negative heat capacity and non-extensive kinetic theory
• On the Cut-Off Prescriptions Associated with Power-Law Generalized Thermostatistics
• Dynamical Correlations as Origin of Nonextensive Entropy
• Diffusion and local deconfinement in relativistic systems
• Non-extensive statistics and the stellar polytrope index
• Relativity, nonextensivity, and extended power law distributions
• Nonextensive statistical effects on the relativistic nuclear equation of state
• Experimental determination of the non-extensive entropic parameter $q$

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