Thermodynamical irreversible approach for the stellar pulsation problem

A. Costa, C.Ferro Fontán, R. González and A.C.Sicardi Schifino

Physica A: Statistical Mechanics and its Applications, 2001, vol. 300, issue 3, 468-486

Abstract: 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.

Keywords: Thermodynamic irreversible approach; Maximum entropy principle; Variational method; Thermodynamic Lagrangian; Pulsating stars (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:300:y:2001:i:3:p:468-486

DOI: 10.1016/S0378-4371(01)00375-2

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