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. © 2001 Published by Elsevier Science B.V.
Registro:
Documento: |
Artículo
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Título: | Thermodynamical irreversible approach for the stellar pulsation problem |
Autor: | Costa, A.; Fontán, C.F.; González, R.; Schifino, A.C.S. |
Filiación: | Instituto De Astronomía Y Física del Espacio, CONICET, Argentina Departamento De Física, Facultad De Ciencias Exactas Y Naturales, Univ. De Buenos Aires, 1428 Buenos Aires, Argentina Departamento De Física, Facultad De Ciencias, UR, Uruguay
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Palabras clave: | Maximum entropy principle; Pulsating stars; Thermodynamic irreversible approach; Thermodynamic Lagrangian; Variational method; Eigenvalues and eigenfunctions; Entropy; Lagrange multipliers; Variational techniques; Stellar pulsation problem; Free energy |
Año: | 2001
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Volumen: | 300
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Número: | 3-4
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Página de inicio: | 468
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Página de fin: | 486
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DOI: |
http://dx.doi.org/10.1016/S0378-4371(01)00375-2 |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v300_n3-4_p468_Costa |
Referencias:
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- Cox, J.P., (1980) Theory of Stellar Pulsation, , Princeton University Press, Princeton, NJ
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- Sicardi Schifino, A.C., Ferro Fontán, C., (1958) Phys. Lett., 113 A, p. 263
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Citas:
---------- APA ----------
Costa, A., Fontán, C.F., González, R. & Schifino, A.C.S.
(2001)
. Thermodynamical irreversible approach for the stellar pulsation problem. Physica A: Statistical Mechanics and its Applications, 300(3-4), 468-486.
http://dx.doi.org/10.1016/S0378-4371(01)00375-2---------- CHICAGO ----------
Costa, A., Fontán, C.F., González, R., Schifino, A.C.S.
"Thermodynamical irreversible approach for the stellar pulsation problem"
. Physica A: Statistical Mechanics and its Applications 300, no. 3-4
(2001) : 468-486.
http://dx.doi.org/10.1016/S0378-4371(01)00375-2---------- MLA ----------
Costa, A., Fontán, C.F., González, R., Schifino, A.C.S.
"Thermodynamical irreversible approach for the stellar pulsation problem"
. Physica A: Statistical Mechanics and its Applications, vol. 300, no. 3-4, 2001, pp. 468-486.
http://dx.doi.org/10.1016/S0378-4371(01)00375-2---------- VANCOUVER ----------
Costa, A., Fontán, C.F., González, R., Schifino, A.C.S. Thermodynamical irreversible approach for the stellar pulsation problem. Phys A Stat Mech Appl. 2001;300(3-4):468-486.
http://dx.doi.org/10.1016/S0378-4371(01)00375-2