MHD Equation of State with Relativistic Electrons

Details MHD Equation of State with Relativistic Electrons MHD Equation of State with Relativistic Electrons

Jan 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001apj...546.1178g&link_type=abstract

The Astrophysical Journal, Volume 546, Issue 2, pp. 1178-1182.

Astronomy and Astrophysics

Astronomy

13

Atomic Processes, Equation Of State, Stars: Evolution, Sun: Oscillations

Scientific paper

The Mihalas-Däppen-Hummer (MHD) equation of state does not include the effect of relativistic partially degenerate electrons, although nonrelativistic partial degeneracy is taken into account. The discovery of a relativistic correction in helioseismology forces us to perform an appropriate upgrade of the MHD equation of state. We have adopted the method of J. M. Aparicio to evaluate the relativistic Fermi-Dirac functions. Our calculations confirm the validity of the approximation used, which works well for the weakly relativistic electrons under solar-center conditions. However, our results will also provide reliable thermodynamic quantities in the stronger relativistic regime as found in more massive stars. Since a particular feature of the original MHD papers was an explicit list of the adopted free energy and its first- and second-order analytical derivatives, we give the corresponding relativistic quantities in the Appendix.

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