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Titolo: Thermodynamical properties of stellar matter II. Internal energy, temperature and density exponents, and specific heats for stellar interiors
Autore: Stolzmann, W; Blocker, T;
- Indirizzi:
- Inst Theoret Phys & Astrophys, D-24098 Kiel, Germany Inst Theoret Phys & Astrophys Kiel Germany D-24098 D-24098 Kiel, Germany Astrophys Inst Potsdam, D-14482 Potsdam, Germany Astrophys Inst Potsdam Potsdam Germany D-14482 D-14482 Potsdam, Germany Max Planck Inst Radioastron, D-53121 Bonn, Germany Max Planck Inst Radioastron Bonn Germany D-53121 , D-53121 Bonn, Germany
- Titolo Testata:
- ASTRONOMY AND ASTROPHYSICS
fascicolo: 3,
volume: 361,
anno: 2000,
pagine: 1152 - 1168
- SICI:
- 0004-6361(200009)361:3<1152:TPOSMI>2.0.ZU;2-E
- Fonte:
- ISI
- Lingua:
- ENG
- Soggetto:
- ONE-COMPONENT PLASMA; STATISTICAL-MECHANICS; IONIZED MATTER; WHITE-DWARFS; EQUILIBRIUM PROPERTIES; PADE APPROXIMATIONS; FREE CHARGES; STATE; EQUATION; HYDROGEN;
- Keywords:
- equation of state; plasmas; stars : interiors; stars : evolution; stars : low-mass, brown dwarfs; stars : white dwarfs;
- Tipo documento:
- Article
- Natura:
- Periodico
- Settore Disciplinare:
- Physical, Chemical & Earth Sciences
- Citazioni:
- 56
- Recensione:
- Indirizzi per estratti:
- Indirizzo: Stolzmann, W Inst Theoret Phys & Astrophys, Olshausenstr 40, D-24098 Kiel,Germany Inst Theoret Phys & Astrophys Olshausenstr 40 Kiel Germany D-24098
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- Citazione:
- W. Stolzmann e T. Blocker, "Thermodynamical properties of stellar matter II. Internal energy, temperature and density exponents, and specific heats for stellar interiors", ASTRON ASTR, 361(3), 2000, pp. 1152-1168
Abstract
Starting from the Helmholtz free energy we calculate analytically first- and second-order derivatives, as internal energy and specific heats, for theideal system and the exchange and correlation interactions covering a broad range of degeneracy and relativity. The complex physics of Coulomb interactions is expressed by Pade Approximants, which reflect the actual state ofour knowledge with high accuracy. We assume complete ionization and provide a base system of thermodynamical functions from which any other thermodynamical quantities can be calculated. We chose for the base system the free energy, the pressure, the internal energy, the isothermal compressibility (or density exponent), the coefficient of strain (or temperature exponent), and the isochoric specific heat. By means of the latter potentials entropy,isobaric specific heat and adiabatic temperature gradient can be determined. We give comparisons with quantities which are composed by numerical second-order derivatives of the free energy and show that numerical derivativesof the free energy as calculated, for instance, from EOS tables, may produce discontinuities for astrophysically relevant quantities as, e.g., the adiabatic temperature gradient. Adiabatic temperature gradients are shown fordifferent chemical compositions (hydrogen, helium, carbon). Finally the used formalism of Pade Approximants allows immediate incorporation of recent results from many particle statistics.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 25/05/13 alle ore 16:39:10