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Evolution of White Dwarfs: Starting from Planetary Nebulae

Published online by Cambridge University Press:  12 April 2016

Francesca D’Antona*
Affiliation:
Osservatorio Astronomico di Roma I–00040 Monte Porzio (Italy)

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The ultimate aim in the study of White Dwarf (WD) evolution is to understand properly the observed Luminosity Function (LF) of WDs, that is the number of WDs observed per unit magnitude interval. The complicated route to the interpretation of this scarne quantity (12 fiducial points in the recent update of Liebert et al. 1988) is schematically summarized in figure 1. Clearly, the main input to the LF are the evolutionary (cooling) times, but it is necessary to consider their non trivial dependence on galactic evolutionary inputs, namely the initial mass function of disk stars, their age distribution with time (ultimately: the disk age), and their evolutionary properties. Stellar evolution enters in the problem of cooling by two main routes: first, by determining the mass of the WD as a function of the inital stellar mass and chemistry, second by fixing the internal constitution of the WD remnant for each given mass, and the initial physical conditions at the start of WD evolution (mainly the temperature distribution, which is important for the first phases of evolution). Of course, there is no need of good evolutionary inputs to study “theoretical” WDs. In fact, historically, the first approach in the study of “cooling” (Mestel 1952, Schwarzschild 1958)) has been directly related to the stimulating physical properties of these objects, in which neutrino losses at the beginning (Vila 1966, Savedoff et al. 1969) and, in late stages, liquification and crystallization of the plasma (Brush,Sahlin and Teller 1966, Hansen 1973) long recognized to be dominated by coulomb interactions, (Kirzhnits 1960, Abrikosov 1960, Salpeter 1961), are the main features to be investigated (Mestel and Ruderman 1967, Van Horn 1968, Kovetz and Shaviv 1970).

Type
Research Article
Copyright
Copyright © Springer-Verlag 1989

References

Abrikosov, A.A. 1960, Soviet Phys. JETP, 12, 1254.Google Scholar
Baglin, A., Vauclair, G. 1973, Astron.Astrophys. 27, 307.Google Scholar
Barrat, J.L., Hansen, P, Mochkovitc, R. 1988, Astron. Astrophys. 199, L15.Google Scholar
Bohm, K.H. 1968, Astrophys. Space Sci. 2, 375.Google Scholar
Bohm, K.H., Carson, T.R., Fontaine, G., Van Horn, H. 1977, Astrophys.J. 217, 521.Google Scholar
Brush, S.G., Sahlin, H.L., Teller, E. 1966, J.Chem.Phys. 45, 2102.Google Scholar
Caloi, V. 1989, Astron. Astrophys., in pressGoogle Scholar
Canuto, V. 1970, Astrophys. J. 159, 641.Google Scholar
Cox, A.N., Stewart, J.N. 1970, Astrophys.J. Suppl. Series 19, 243.CrossRefGoogle Scholar
Cox, A.N., Tabor, J.E. 1976, Astrophys.J. Suppl.Series 31, 271.Google Scholar
D’Antona, F., Mazzitelli, I. 1974, Astrophys. Space Sci. 27, 307 Google Scholar
D’Antona, F., Mazzitelli, I. 1975, Astron.Astrophys. 44, 253 Google Scholar
D’Antona, F., Mazzitelli, I. 1979, Astron.Astrophys. 74, 161.Google Scholar
D’Antona, F., Mazzitelli, I. 1985, Astrophys. J. 296, 502.Google Scholar
D’Antona, F., Mazzitelli, I., 1986, Astron. Astrophys. 162, 80.Google Scholar
D’Antona, F. 1987, Astrophys. J. 320, 653.Google Scholar
D’Antona, F., Mazzitelli, I., 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 635.Google Scholar
Fleming, T.A., Liebert, J., Green, R.F. 1986, Astrophys. J. 308, 176.Google Scholar
Fontaine, G., Van Horn, H.M., Bohm, K.H., Grenfell, J.C. 1974 Astrophys. J. 193, 205.Google Scholar
Fontaine, G. Graboske, H.C., Van Horn, H.M. 1977, Astrophys.J. Suppl. Series 35, 293.Google Scholar
Fontaine, G., van Horn, H.M. 1976, Astrophys.J. Suppl.Series 31, 467.Google Scholar
Fontaine, G., Michaud, G. 1979, Astrophys. J. 231, 826.Google Scholar
Fontaine, G., Villeneuve, B., Wesemael, F., Wegner, G. 1984 Astrophys. J. 277, L61.Google Scholar
Fontaine, G., Wesemael, F. 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 319.Google Scholar
Garcia-Berro, E., Hernanz, M., Mochkovitch, R., Isern, J. 1988a, Astron. Astrophys. 193, 141 Google Scholar
Garcia-Berro, E., Hernanz, M., Isern, J., Mochkovitch, R. 1988b, Nature 333, 642.Google Scholar
Greenstein, J.L. 1986, Ap. J. 304, 334.Google Scholar
Hansen, J.P. 1973, Phys. Rev. 8A, 3096.Google Scholar
Hubbard, W.B., Lampe, M. 1969, Astrophys.J. Suppl. 18, 297.CrossRefGoogle Scholar
Husfeld, D. 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 237.Google Scholar
Iben, I. Jr. 1984, Astrophys. J. 277, 333.Google Scholar
Iben, I. Jr., Kaler, J.B., Truran, J.W., Renzini, A. 1983, Astrophys. J. 264, 605.Google Scholar
Iben, I. Jr., Tutukov, A.N. 1984, Astrophys. J. 282, 615.Google Scholar
Iben, I. Jr., McDonald, J. 1985, Astrophys. J. 296, 540.Google Scholar
Iben, I. Jr., McDonald, J. 1986, Astrophys. J. 301, 164.Google Scholar
Iben, I. Jr. 1987, in “Late Stages of Stellar Evolution”, ed. Kwok, S. and Pottasch, S.R., (D. Reidel, Dordrecht), p. 175.Google Scholar
Itoh, N., Mitake, S., Iyetomi, H., Ichimaru, S. 1983, Astrophys.J. 273, 774.Google Scholar
Itoh, N., Kohyama, Y., Matsumoto, J., Seki, M. 1984, Astrophys.J. 285, 758.CrossRefGoogle Scholar
Kettner, K.V., Becker, H.W., Buchman, L., Gorres, J., Kravinkel, H., Rolf, C. Schmalbrok, P., Trauttvetter, H.P., Vliekes, A. 1982, Z. Phys. 308, 73.Google Scholar
Kirzhnits, D.A. 1960, Soviet Phys. JETP, 11, 365.Google Scholar
Koester, D. 1972, Astron.Astrophys. 16, 459.Google Scholar
Koester, D. 1976, Astron.Astrophys. 52, 415 Google Scholar
Koester, D., Weidemann, V., Zeidler-K.T., E.M. 1982, Astron. Astrophys. 116, 147 Google Scholar
Koester, D., Schönberner, D. 1986, Astron.Astrophys. 154, 125.Google Scholar
Koester, D. 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 329.Google Scholar
Kovetz, A., Shaviv, G. 1970, Astron. Astrophys. 8, 398.Google Scholar
Lamb, D.Q., van Horn, H.M. 1975, Astrophys. J. 200, 306.Google Scholar
Liebert, J., Dahn, C.C., Monet, D.G. 1988, Ap.J. in press.Google Scholar
Liebert, J., Fontaine, G., Wesemael, F. 1987, Mem.S.A.It. 58, 17.Google Scholar
Luyten, W.J. 1958, “On the frequency of White Dwarfs in Space” (Minneapolis: University of Minnesota Observatory).Google Scholar
Magni, G., Mazzitelli, I. 1979, Astron.Astrophys. 72, 134.Google Scholar
Marsnak, R.E. 1940, Ap.J. 92, 321.Google Scholar
Mazzitelli, I. 1988a, in the present Colloquium.Google Scholar
Mazzitelli, I. 1988b, Astrophys.J., in press.Google Scholar
Mazzitelli, I., D’Antona, F. 1986, Astrophys.J. 308, 706.Google Scholar
Mazzitelli, I., D’Antona, F. 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 351.Google Scholar
McMullin, J.P., Fritz, M.L., Sion, E.M. 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 645.Google Scholar
Mestel, L. 1950, Proc. Cambridge Phil. Soc. 46, 331.Google Scholar
Mestel, L. 1952, M.N.R.A.S. 112, 583.CrossRefGoogle Scholar
Mestel, L., Ruderman, M.A. 1967, M.N.R.A.S. 136, 27.Google Scholar
Mochkovitch, R. 1983, Astron.Astrophys. 122, 212.Google Scholar
Muchmore, D. 1982, Bull.A.A.S. 13, 810.Google Scholar
Muchmore, D. 1984, Astrophys. J. 278, 769.Google Scholar
Pelletier, C., Fontaine, G., Wesemael, F., Michaud, G. 1986, Astrophys. J. 122, 242.Google Scholar
Renzini, A. 1982, in IAU Symp. 99 “Wolf Rayet Stars” ed. De Loore, C. and Willis, A. (Dordrecht, Reidel), p. 413.Google Scholar
Renzini, A. 1983, in IAU Symp. 103 “Planetary Nebulae”, ed. Flower, D.R. (Dordrecht, Reidel), p. 267.Google Scholar
Renzini, A. 1987, in “Planetary Nebulae”, IAU Symp.Google Scholar
Salpeter, E.E. 1961, Astrophys. J. 134, 669.Google Scholar
Savedoff, M.P., van Horn, H.M., Vila, S.C. 1969, Ap.J. 155, 221.Google Scholar
Schönberner, D. 1983, Ap.J. 272, 708.CrossRefGoogle Scholar
Schönberner, D. 1987 in “Late Stages of Stellar Evolution”, ed. Kwok, S. and Pottasch, S.R., (D. Reidel, Dordrecht), p. 337.Google Scholar
Schwarzschild, M. 1958, in Structure and Evolution of the Stars, Princeton University Press, Princeton.Google Scholar
Shaviv, G., Kovetz, A. 1976, Astron.Astrophys. 51, 383.Google Scholar
Sion, E.M., Fritz, M.L., McMullin, J.P., Lallo, M.D. 1988, Astron.J. in press.Google Scholar
Stevenson, D.J. 1980, J. Phys. Suppl. No 3, 41, C253.Google Scholar
Strittmatter, P.A., Wickramasinghe, D.T. 1971, M.N.R.A.S. 152, 47.Google Scholar
Sweeney, M.A. 1976, Astron.Astrophys. 49, 375.Google Scholar
Vauclair, G., Reisse, C. 1977, Astron.Astrophys. 61, 415.Google Scholar
Vauclair, G., Vauclair, S., Greenstein, J.L. 1979, Astron. Astrophys. 80, 79.Google Scholar
Vauclair, G. 1987, in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 341.Google Scholar
van Horn, H.M. 1968, Ap.J. 151, 227.Google Scholar
van Horn, H.M. 1971, in “White Dwarfs”, IAU Symp. 42, ed. Luyten, W. (Dordrecht: Reidel), p. 97.Google Scholar
Vila, S.C. 1966, Astrophys.J. 146, 437.Google Scholar
Wegner, G., Yackovich, F.H. 1983, Astrophys. J. 275, 240.Google Scholar
Weidemann, V. 1967, Zs. Ap. 67, 286.Google Scholar
Wesemael, F. 1978, Astron.Astrophys. 72, 104.Google Scholar
Wesemael, F., Green, R., Liebert, J. 1985, Astrophys.J. Suppl. 58, 379.Google Scholar
Winget, D.E., Hansen, C.J., Liebert, J., VanHorn, H.M., Fontaine, G., Nather, R.E., Kepler, S.O., Lamb, D.Q. 1987, Astrophys. J. 315, L77.Google Scholar
Winget, D.E., van Horn, H.M. 1987 in “IAU Coll. 95, “The Second Conference on Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 363.Google Scholar
Wood, P.R., Faulkner, D.J. 1986, Astrophys.J. 307, 659.Google Scholar
Wood, M.A., Winget, D.E., VanHorn, H.M. 1987, Faint Blue Stars”, ed. DavisPhilip, A.G., Hayes, D.S. and Liebert, J.W., L. Davis Press Inc. (Schenectady, New York), p. 639.Google Scholar