Degenerate limit thermodynamics beyond leading order for models of dense matter

Journal Article · Tue Dec 15 00:00:00 EST 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.10.003· OSTI ID:22560284

Constantinou, Constantinos ^[1]; Muccioli, Brian ^[2]; Prakash, Madappa ^[2]

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1. Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich (Germany)
2. Department of Physics and Astronomy, Ohio University, Athens, OH 45701 (United States)

Analytical formulas for next-to-leading order temperature corrections to the thermal state variables of interacting nucleons in bulk matter are derived in the degenerate limit. The formalism developed is applicable to a wide class of non-relativistic and relativistic models of hot and dense matter currently used in nuclear physics and astrophysics (supernovae, proto-neutron stars and neutron star mergers) as well as in condensed matter physics. We consider the general case of arbitrary dimensionality of momentum space and an arbitrary degree of relativity (for relativistic models). For non-relativistic zero-range interactions, knowledge of the Landau effective mass suffices to compute next-to-leading order effects, but for finite-range interactions, momentum derivatives of the Landau effective mass function up to second order are required. Results from our analytical formulas are compared with the exact results for zero- and finite-range potential and relativistic mean-field theoretical models. In all cases, inclusion of next-to-leading order temperature effects substantially extends the ranges of partial degeneracy for which the analytical treatment remains valid. Effects of many-body correlations that deserve further investigation are highlighted.

• OSTI ID: 22560284
• Journal Information: Annals of Physics, Vol. 363, Issue Complete; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ASTROPHYSICS
COMPARATIVE EVALUATIONS
CORRECTIONS
CORRELATIONS
EFFECTIVE MASS
FINITE-RANGE INTERACTIONS
MANY-BODY PROBLEM
MEAN-FIELD THEORY
NEUTRON STARS
NEUTRONS
NUCLEAR MATTER
POTENTIALS
RELATIVISTIC RANGE
SUPERNOVAE
TEMPERATURE DEPENDENCE
THERMODYNAMICS