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Thermodynamical irreversible approach for the stellar pulsation problem

Author

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

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.

Suggested Citation

  • Costa, A. & Fontán, C.Ferro & González, R. & Schifino, A.C.Sicardi, 2001. "Thermodynamical irreversible approach for the stellar pulsation problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 468-486.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:3:p:468-486
    DOI: 10.1016/S0378-4371(01)00375-2
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