Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-23T18:48:33.428Z Has data issue: false hasContentIssue false
  • English
  • Français

Generalized Theory of Shell Flash and Accreting White Dwarfs

Published online by Cambridge University Press:  14 August 2015

Daiichiro Sugimoto  and
Shigeki Miyaji
Daiichiro Sugimoto
Affiliation:
College of General Education, University of Tokyo Tokyo 153, Japan
Shigeki Miyaji
Affiliation:
College of General Education, University of Tokyo Tokyo 153, Japan

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Shell flashes take place both in deep interior of red giant stars and near surface of accreting white dwarfs. Theories of shell flashes have been thus far presented piece by piece in different papers. It is the purpose of the present review to construct and generalize them in order to reach better understanding. A non-linear yet almost analytical theory is presented which treats the development of the shell flash in finite amplitude. Recurrence of the shell flashes is also shown to be well understood as a non-linear oscillation in dissipative system which tends to be its limit cycle. As a result strength of the peak energy-generation and recurrence time of the shell flashes are related with mass of the accreting white dwarfs, accretion rate, etc.

Type
Session 5: Mass-Accretion onto Compact Stars and Resultant Explosive Phenomena and Nucleosynthesis
Information
Symposium - International Astronomical Union , Volume 93: Fundamental Problems in the Theory of Stellar Evolution , 1981 , pp. 191 - 206
Copyright
Copyright © Reidel 1981 

References

Dennis, T.R.: Astrophys. J., 167, 311.CrossRefGoogle Scholar
Fujimoto, M.Y. and Sugimoto, D.: 1979a, Publ. Astron. Soc. Japan, 31, 1.Google Scholar
Fujimoto, M.Y. and Sugimoto, D.: 1979b, “White Dwarfs and Variable Degenerate Stars”, eds. Van Horn, H.M. and Weidemann, V., p. 285.Google Scholar
Gallagher, J.S. and Starrfield, S.: 1978, Ann. Rev. Astron. Astrophys., 16, 171.CrossRefGoogle Scholar
Giannone, P. and Weigert, A.: 1967, Z. Astrophys., 67, 41.Google Scholar
Hachisu, I. and Sugimoto, D.: 1978, Prog. Theor. Phys., 60, 123.Google Scholar
Hayakawa, S. and Sugimoto, D.: 1968, Astrophys. Space Sci., 1, 216.Google Scholar
Hayashi, C., Hōshi, R., and Sugimoto, D.: 1965, Prog. Theor. Phys., 34, 885.Google Scholar
Henyey, L. and Ulrich, R.K.: 1972, Astrophys. J., 173, 109.Google Scholar
Hōshi, R.: 1968, Prog. Theor. Phys., 39, 957.Google Scholar
Joss, P.C.: Paper presented in this symposium.Google Scholar
Kippenhahn, R. and Meyer-Hofmeister, E.: 1977, Astron. Astrophys., 54, 539.Google Scholar
Nariai, K. and Nomoto, K.: 1979, “White Dwarfs and Variable Degenerate Stars”, eds. Van Horn, H.M. and Weidemann, V., p. 525.Google Scholar
Nariai, K., Nomoto, K., and Sugimoto, D.: 1980, Publ. Astron. Soc. Japan, 32, 473.Google Scholar
Neo, S., Miyaji, S., Nomoto, K., and Sugimoto, D.: 1977, Publ. Astron. Soc. Japan, 29, 249.Google Scholar
Nomoto, K., Nariai, K., and Sugimoto, D.: 1979, “White Dwarfs and Variable Degenerate Stars”, eds. Van Horn, H.M. and Weidmann, V., p. 529.CrossRefGoogle Scholar
Nomoto, K. and Sugimoto, D.: 1977, Publ. Astron. Soc. Japan, 29, 765.Google Scholar
Paczyński, B.: 1970, Acta Astron., 20, 47.Google Scholar
Paczyński, B. and Żytkow, A.N.: 1978, Astrophys. J., 222, 604.Google Scholar
Redkoborodyi, Y.N.: 1972, Astrofizika, 8, 261.Google Scholar
Rose, W.K.: 1966, Astrophys. J., 145, 496.Google Scholar
Rose, W.K.: 1968, Astrophys. J., 152, 245.Google Scholar
Sackmann, I.-J.: 1977, Astrophys. J., 212, 159.Google Scholar
Sackmann, I.-J.: 1980, Astrophys. J., 235, 554.Google Scholar
Schwarzschild, M. and Härm, R.: 1965, Astrophys. J., 142, 855.Google Scholar
Sion, E.M., Acierno, M.J., and Tomcsyk, S.: 1979, Astrophys. J., 230, 832.Google Scholar
Sparks, W.M., Starrfield, S., and Truran, J.W.: 1978, Astrophys. J., 220, 1063.Google Scholar
Sugimoto, D. and Fujimoto, M.Y.: 1978, Publ. Astron. Soc. Japan, 30, 467.Google Scholar
Sugimoto, D., Fujimoto, M.Y., Nariai, K., and Nomoto, K.: 1979, “White Dwarfs and Variable Degenerate Stars”, eds. Van Horn, H.M. and Weidemann, V., p. 280.Google Scholar
Sugimoto, D. and Nomoto, K.: 1980, Space Sci. Rev., 25, 155.Google Scholar
Sugimoto, D. and Yamamoto, Y.: 1966, Prog. Theor. Phys., 36, 17.Google Scholar
Taam, R.E.: 1978, Astrophys. Letters, 19, 47.Google Scholar
Taam, R.E.: 1980, Astrophys. J., 237, 142.Google Scholar
Taam, R.E. and Faulkner, J.: 1975, Astrophys. J., 198, 435.Google Scholar
Truran, J.W., Starrfield, S.G., Strittmatter, P.A., Wyatt, S.P., and Sparks, W.M.: 1977, Astrophys. J., 211, 539.CrossRefGoogle Scholar
Unno, W.: 1970, Publ. Astron. Soc. Japan, 22, 239.Google Scholar
Weigert, A.: 1966, Z. Astrophys., 64, 395.Google Scholar