Variational Principles for Stellar Structure
Abstract
The four equations of stellar structure are reformulated as two alternate pairs of variational principles. Different thermodynamic representations lead to the same hydromechanical equations, but the thermal equations require, not the entropy, but the temperature as the thermal field variable. Our treatment emphasizes the hydrostatic energy and the entropy production rate of luminosity produced and transported. The conceptual and calculational advantages of integral over differential formulations of stellar structure are discussed along with the difficulties in describing stellar chemical evolution by variational principles.
 Publication:

The Astrophysical Journal
 Pub Date:
 July 1997
 DOI:
 10.1086/304333
 arXiv:
 arXiv:astroph/9610099
 Bibcode:
 1997ApJ...484..329K
 Keywords:

 Hydrodynamics;
 Stars: Interiors;
 Astrophysics;
 Condensed Matter  Statistical Mechanics
 EPrint:
 28 pages, LaTeX, requires AASTeX, 1 PostScript figure, revisions: erratum