Thermodynamical irreversible approach for the stellar pulsation problem

Details Thermodynamical irreversible approach for the stellar pulsation problem Thermodynamical irreversible approach for the stellar pulsation problem

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phya..300..468c&link_type=abstract

Physica A, Volume 300, Issue 3-4, p. 468-486.

Physics

2

Scientific paper

In this paper, the stellar pulsation theory is reformulated following an irreversible thermodynamic approach (Lavenda, Thermodynamics of Irreversible Processes, Denver, New York, 1993). A general stability criterion and a thermodynamic Langrangian for the pulsating star problem are obtained using a variational method (Sicardi and Ferro Fontán, Phys. Lett. 113A (1958) 263; Sicardi et al., J. Math. Phys. 32 (1991) 1350). This formulation, based on the calculation of a free energy excess function, is applied to the adiabatic, non-adiabatic, radial and non-radial cases and, as a result, the already known energy principles are obtained as particular cases of the general stability criterion mentioned above. Eigenvectors and eigenvalues can be calculated in a systematic way from the thermodynamic Lagrangian obtained for the general dissipative case (being independent of the adiabatic one). This allows a better determination of periods and oscillation frequencies.

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