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Double-Mode Stellar Pulsation

Published online by Cambridge University Press:  12 April 2016

G. Kovács
G. Kovács*
Affiliation:
Department of Physics, University of Florida, Gainesville and Konkoly Observatory, Budapest, Hungary

Abstract

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The current observational and theoretical status of the double-mode variables is reviewed. Focusing mostly on the RR Lyrae stars, we address the question of the observational evidence of modal stability. The problem of stationarity is a crucial issue in the modelling of these stars.

We mention past efforts in hydrodynamical and analytical modelling together with a detailed discussion of some very recent results. It is suggested that stochastic forcing due to turbulent convection may play a crucial role in exciting some marginally stable modes in the limiting pulsation. The latest hydrodynamical results first demonstrate that purely radiative models are able to show permanent double-mode behavior in the relevant period regime of RRd stars. The reason for the previous lack of double-mode behavior is attributed to the large dissipation, i.e. artificial viscosity, generally used in the codes to ensure numerical stability and to obtain amplitudes comparable to the observed ones.

We think that better models should include some physical dissipation, most probably turbulent convection, and a more accurate numerical treatment of the radiative hydrodynamics.

Type
III. Models
Information
International Astronomical Union Colloquium , Volume 134: Nonlinear Phenomena in Stellar Variability , 1993 , pp. 281 - 300
Copyright
Copyright © Kluwer 1993

References

Andreasen, G.K.: 1988, Astronomy and Astrophysics 191, 71.Google Scholar
Balona, L.A.: 1985, in Cepheids: Theory and Observations, Proc. IAU Coll. No 82, ed. Madore, B.F. (Cambridge University Press), p. 17.Google Scholar
Buchler, J.R.: 1985, in Chaos in Astrophysics, NATO ASI Ser. C, Vol. 161, eds. Buchler, J.R., Perdang, J.M. and Spiegel, E.A. (Dordrecht: Reidel), p. 137.Google Scholar
Buchler, J.R.: 1992, these proceedings.Google Scholar
Buchler, J.R. and Kovács, G.: 1986, Astrophysical Journal 308, 661.Google Scholar
Buchler, J.R. Kovács, G.: 1992, Physica D, submitted.Google Scholar
Buchler, J.R., Goupil, M.-J. and Kovács, G.: 1992, Astronomy and Astrophysics, submitted.Google Scholar
Buchler, J.R. and Marom, A.: 1992, in preparation.Google Scholar
Buchler, J.R., Moskalik, P., and Kovács, G.: 1990, Astrophysical Journal 351, 617.Google Scholar
Buchler, J.R., Moskalik, P., and Kovács, G.: 1991, Astrophysical Journal 380, 185.Google Scholar
Christensen-Dalsgaard, J. and Frandsen, S.: 1983, Solar Phys., 82, 469.Google Scholar
Clement, C.M. and Walker, I.R.: 1991, Astronomical Journal 101, 1352.Google Scholar
Cox, A.N.: 1982, in Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J.P. and Hansen, C.J. (Boulder: JILA), p. 157.Google Scholar
Cox, A.N.: 1987, in The Second Conference on Faint Blue Stars, eds. Philip, A.G.D., Hayes, D.S. and Liebert, J.W.L. (L. Davis Press, Inc., Schenectady, New York), p. 161.Google Scholar
Cox, A.N.: 1991, Astrophysical Journal, Letters to the Editor 381, L71.Google Scholar
Cox, A.N., Deupree, R.G. and Gehmeyr, M.: 1991, in Experimental Mathematics: Computational Issues in Nonlinear Science, Proc. of the CNLS 11th Annual Conference, held in Los Alamos, May 20–24, 1991 (preprint).Google Scholar
Cox, A.N., Hodson, S.W. and Clancy, S.P.: 1983, Astrophysical Journal 266, 94.Google Scholar
Cox, A.N., Hodson, S.W. and Davey, W.R.: 1976, in Solar and Stellar Pulsation, eds. Cox, A.N. and Deupree, R.G. (Los Alamos: LA-6544-C), p. 188.Google Scholar
Dorfi, E.A. and Feuchtinger, M.U.: 1991, Astronomy and Astrophysics 249, 417.Google Scholar
Dziembowski, W. and Kovács, G.: 1984, Monthly Notices of the RAS 206, 497.Google Scholar
Dziembowski, W. and Krolikowska, M.: 1985, Acta Astr. 35, 5.Google Scholar
Dziembowski, W., Krolikowska, M. and Kosovitchev, A.: 1988, Acta Astr. 38, 61.Google Scholar
Fernley, J.A., Jameson, R.F., Sherrington, M.R. and Skillen, I.: 1987, Monthly Notices of the RAS 225, 451.CrossRefGoogle Scholar
Fitch, W.: 1980, Lecture Notes in Physics 125, p. 7.Google Scholar
Gehmeyr, M.: 1991, On Non-Lagrangian Computations of Convective RR Lyrae Stars, Ph. D. Thesis, University of New Mexico.Google Scholar
Goldreich, P. and Keeley, D.A.: 1977, Astrophysical Journal 212, 243.CrossRefGoogle Scholar
Goranskij, V.P.: 1981, Inf. Bull. Var. Stars, No. 2007.Google Scholar
Hodson, S.W. and Cox, A.N.: 1982, in Pulsations in Classical and Cataclysmic Variable Stars, eds. Cox, J.P. and Hansen, C.J. (Boulder: JILA), p. 201.Google Scholar
Iglesias, C.A. and Rogers, F.J.: 1991, Astrophysical Journal, Letters to the Editor 371, L73.Google Scholar
Jerzykiewicz, M.: 1988, in Multimode Stellar Pulsations, eds. Kovács, G., Szabados, L. and Szeidl, B., Konkoly Observatory (Kultura: Budapest), p. 19.Google Scholar
Jerzykiewicz, M. and Wenzel, W.: 1977, Acta Astr. 27. 35.Google Scholar
Jurcsik, J. and Barlai, K.: 1990, in Confrontation Between Stellar Pulsation and Evolution, Astron. Society of the Pacific. Conf. Ser., vol. 11, eds. Cacciari, C. and Clementini, G., p. 112.Google Scholar
King, D.S., Cox, J.P., Eilers, D.D. and Davey, W.R.: 1973, Astrophysical Journal 182, 859.Google Scholar
Kovács, G.: 1990, in The Numerical Modelling of Nonlinear Stellar Pulsations; Problems and Prospects, ed. Buchler, J.R. (Kluwer, Dordrecht), p. 73.Google Scholar
Kovács, G. and Buchler, J.R.: 1988, Astrophysical Journal 324, 1026.Google Scholar
Kovács, G. and Buchler, J.R.: 1992, Astrophysical Journal, submitted.Google Scholar
Kovács, G., Shlosman, I., and Buchler, J.R.: 1986, Astrophysical Journal, 307, 593.Google Scholar
Kovács, G., Buchler, J.R., and Marom, A.: 1991, Astronomy and Astrophysics (Letters) 252, L27.Google Scholar
Kovács, G., Buchler, J.R., Marom, A., Iglesias, C.A. and Rogers, F.J.: 1992, Astronomy and Astrophysics (Letters), submitted.Google Scholar
Kovács, G. and Kolláth, Z.: 1988, in Multimode Stellar Pulsations, eds. Kovács, G., Szabados, L. and Szeidl, B., Konkoly Observatory (Kultura: Budapest), p. 33.Google Scholar
Moskalik, P.: 1985, Acta Astr. 35, 229.Google Scholar
Moskalik, P., Buchler, J.R. and Marom, A.: 1991, Astrophysical Journal 385, 685.Google Scholar
Nemec, J.M. and Clement, C.M.: 1989, Astronomical Journal 98, 960.Google Scholar
Nemec, J.M. and Mateo, M.: 1990, in Confrontation Between Stellar Pulsation and Evolution, Astron. Society of the Pacific. Conf. Ser., Vol. 11, eds.: Cacciari, C. and Clementini, G. p. 64.Google Scholar
Ostlie, D.A.: 1990, in The Numerical Modelling of Nonlinear Stellar Pulsations; Problems and Prospects, ed. Buchler, J.R. (Kluwer, Dordrecht), p. 89.Google Scholar
Petersen, J.O.: 1973, Astronomy and Astrophysics 27, 89.Google Scholar
Rogers, F.J. and Iglesias, C.A.: 1992, Astrophysical Journal, Supplement Series 79 (in press, April).Google Scholar
Simon, N.R.: 1979, Astronomy and Astrophysics 75, 140.Google Scholar
Simon, N.R.: 1982, Astrophysical Journal, Letters to the Editor 260, L87.Google Scholar
Simon, N.R. Cox, A.N. and Hodson, S.W.: 1980, Astrophysical Journal 237, 550.Google Scholar
Simon, N.R. and Schmidt, E.G.: 1976, Astrophysical Journal 205, 162.Google Scholar
Stellingwerf, R.F.: 1975, Astrophysical Journal 195, 441.Google Scholar
Stellingwerf, R.F.: 1984, Astrophysical Journal 284, 712.Google Scholar
Stobie, R.S.: 1969, Monthly Notices of the RAS 144, 511.Google Scholar
Szabados, L.: 1988, in Multimode Stellar Pulsations, eds. Kovács, G., Szabados, L. and Szeidl, B., Konkoly Observatory (Kultura: Budapest), p. 1.Google Scholar
Szeidl, B.: 1988, in Multimode Stellar Pulsations, eds. Kovács, G., Szabados, L. and Szeidl, B., Konkoly Observatory (Kultura: Budapest), p. 45.Google Scholar
Walraven, Th., Walraven, J. and Balona, L.A.: 1992, Monthly Notices of the RAS 254, 59.Google Scholar
Wheeler, J.C., Sneden, C., and Truran, J.W.: 1989, Annual Review of Astronomy and Astrophysics 27, 279.Google Scholar
Zalewski, J.: 1992, these proceedings.Google Scholar