Equation of state for partially ionized carbon and oxygen mixtures at high temperatures

Journal Article · Tue Nov 15 00:00:00 EST 2011 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.84.056406· OSTI ID:21612322

Massacrier, Gerard ^[1]; Potekhin, Alexander Y ^[1]; Chabrier, Gilles ^[2]

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1. Universite de Lyon, Lyon FR-69003, France, Universite Lyon I, Observatoire de Lyon, Saint-Genis-Laval FR-69230 (France)
2. Ecole Normale Superieure de Lyon, CNRS, UMR 5574, Centre de Recherche Astrophysique de Lyon FR-69007 (France)

The equation of state (EOS) for partially ionized carbon, oxygen, and carbon-oxygen mixtures at temperatures 3x10{sup 5} K < or approx. T < or approx. 3x10{sup 6} K is calculated over a wide range of densities, using the method of free energy minimization in the framework of the chemical picture of plasmas. The free energy model is an improved extension of our model previously developed for pure carbon [Potekhin, Massacrier, and Chabrier, Phys. Rev. E 72, 046402 (2005)]. The internal partition functions of bound species are calculated by a self-consistent treatment of each ionization stage in the plasma environment taking into account pressure ionization. The long-range Coulomb interactions between ions and screening of the ions by free electrons are included using our previously published analytical model, recently improved, in particular for the case of mixtures. We also propose a simple but accurate method of calculation of the EOS of partially ionized binary mixtures based on detailed ionization balance calculations for pure substances.

• OSTI ID: 21612322
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 84, Issue 5; Other Information: DOI: 10.1103/PhysRevE.84.056406; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BINARY MIXTURES
CARBON
ELECTRONS
EQUATIONS OF STATE
FREE ENERGY
IONIZATION
MINIMIZATION
OXYGEN
PARTITION FUNCTIONS
PLASMA
TEMPERATURE RANGE OVER 4000 K
DISPERSIONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
EQUATIONS
FERMIONS
FUNCTIONS
LEPTONS
MIXTURES
NONMETALS
OPTIMIZATION
PHYSICAL PROPERTIES
TEMPERATURE RANGE
THERMODYNAMIC PROPERTIES