Modifications of the equation of state to achieve desired changes in thermodynamic quantities

Details Modifications of the equation of state to achieve desired changes in thermodynamic quantities Modifications of the equation of state to achieve desired changes in thermodynamic quantities

Feb 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003esasp.517..333l&link_type=abstract

In: Proceedings of SOHO 12 / GONG+ 2002. Local and global helioseismology: the present and future, 27 October - 1 November 2002,

Mathematics

Logic

3

Equation Of State, Partition Function, Helioseismology

Scientific paper

Various helioseismological applications are subject to the uncertainty in the equation of state. A typical example is the helioseismic determination of the helium abundance in the convection zone. Only confidence in the quality of the equation of state will lead to a reliable result. There are several methods to improve the quality, depending on the type of the equation of state. Some equations of state are rather fundamental, but become very complicated for realistic astrophysical matter. An example is the OPAL equation of state developed at Livermore. Other equations of state are more intuitive and less rigorous, but easier in their practical realization. An example is the Mihalas-Hummer-Däppen (MHD) equation of state. It makes sense therefore to try to modify the physical parameters in MHD, such that it can emulate OPAL. The result will be a flexible tool for stellar modelers. We report on preliminary work in this direction, based on a systematic study of the response of the thermodynamic quantities to several classes of modifications of the occupation probabilities, as well as different truncations of the internal partition functions. We have also re-visited the issue of the so-called Planck-Larkin partition function (PLPF).

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