Variational Principles for Stellar Structure | Zendy

Dallas C. Kennedy | Zendy; S. A. Bludman | Zendy

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Variational Principles for Stellar Structure

Author(s) -

Dallas C. Kennedy,

S. A. Bludman

Publication year - 1997

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/304333

Subject(s) - stellar structure , hydrostatic equilibrium , thermal , statistical physics , entropy (arrow of time) , physics , differential equation , entropy production , variational principle , classical mechanics , thermodynamics , stellar evolution , theoretical physics , mathematics , astrophysics , quantum mechanics , stars

The four equations of stellar structure are reformulated as two alternatepairs of variational principles. Different thermodynamic representations leadto the same hydromechanical equations, but the thermal equations require, notthe entropy, but the temperature as the thermal field variable. Our treatmentemphasizes the hydrostatic energy and the entropy production rate of luminosityproduced and transported. The conceptual and calculational advantages ofintegral over differential formulations of stellar structure are discussedalong with the difficulties in describing stellar chemical evolution byvariational principles.Comment: 28 pages, LaTeX, requires AASTeX, 1 PostScript figure, revisions: erratum; accepted by Astrophysical Journa

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