Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..62..263f&link_type=abstract
Astrophysics and Space Science, vol. 62, no. 2, May 1979, p. 263-277.
Astronomy and Astrophysics
Astrophysics
Fermions, Gravitation Theory, Thermodynamic Properties, Thermodynamics, Degeneration, Distribution Functions, Equilibrium Equations, Gibbs Free Energy, Hydrostatics, Main Sequence Stars, Neutron Stars, Phase Transformations, Red Giant Stars, Temperature Dependence
Scientific paper
The homogeneity of space is discussed, and a thermodynamics is outlined which takes into account the dependence of temperature and chemical potential on statistical state. The free energy of a gas consisting of noninteracting fermions is studied statistically. The fermion statistics of particles is applied, the gravitational interaction between fermions is considered, and the results are compared with those of Thirring (1971, 1973). The extent to which the virial theorem and the equation of hydrostatic equilibrium are changed as a result of these considerations is demonstrated. The value of the degeneracy parameter and the significance of its limits are then evaluated, thermodynamic functions for arbitrary degeneracy are calculated, and the limits for the cases of low and high degeneracy are examined. The correlation of some thermodynamic functions with phase-transition theory is illustrated.
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