Transport processes in stellar interiors

  • Jean-Paul Zahn
Invited Reviews
Part of the Lecture Notes in Physics book series (LNP, volume 458)


We first recall Evry Schatzman’s pioneering contributions to the theory of transport of matter and angular momentum in the radiative interior of stars. He suggested that this transport could be of turbulent nature and he linked it to the internal rotation state. We then review the major breakthroughs which have been accomplished during the eighties, mainly in the observational domain. Finally, we briefly describe some recent achievements on the theoretical side, and allude to the work in progress.


Angular Momentum Internal Wave Differential Rotation Meridian Circulation Turbulent Transport 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Baglin, A., Morel, P., Schatzman, E. (1985): Stellar evolution with turbulent diffusion mixing. Lithium abundance on the lower main sequence. Astron. Astrophys. 149, 309ADSGoogle Scholar
  2. Bienaimé, O., Maeder, A., Schatzman, E. (1984): Stellar evolution with turbulent diffusion mixing. Intermediate and low mass stars and the 12C/13C ratio in giants of the first ascending branch. Astron. Astrophys. 131, 316ADSGoogle Scholar
  3. Biermann, L. (1937): Astron. Nachrichten 263, 185zbMATHCrossRefADSGoogle Scholar
  4. Boesgaard, A.M., Tripicco, M.J. (1986): Astrophys. J. 302, L49Google Scholar
  5. Brown, T.M., Christensen-Dalsgaard, J., Dziembowski, W.A., Goode, P., Gough, D.O., Morrow, C.A. (1989): Astrophys. J. 343, 526CrossRefADSGoogle Scholar
  6. Busse, F.H. (1981): Geophys. Astrophys. Fluid Dynamics 17, 215zbMATHCrossRefADSGoogle Scholar
  7. Busse, F.H. (1982): Astrophys. J. 259, 759CrossRefADSGoogle Scholar
  8. Cayrel, R., Cayrel de Strobel, G., Campbell, B. (1984): Astrophys. J. 283, 205CrossRefADSGoogle Scholar
  9. Cayrel de Strobel, G., Cayrel, R., Friel, E., Zahn, J.-P., Bentolila, C. (1994): Astron. Astrophys. (in print)Google Scholar
  10. Chaboyer, B., Zahn, J.-P. (1992): Astron. Astrophys. 253, 173zbMATHADSGoogle Scholar
  11. Charbonneau, P. (1992): Astron. Astrophys. 259, 134ADSGoogle Scholar
  12. Charbonnel, C., Vauclair, S. (1992): Astron. Astrophys. 265, 55ADSGoogle Scholar
  13. Charbonnel, C., Vauclair, S., Zahn, J.-P. (1992): Astron. Astrophys. 255, 191ADSGoogle Scholar
  14. Dudis, J.J. (1974): J. Fluid Mech. 64, 65zbMATHCrossRefADSGoogle Scholar
  15. Eddington, A.S. (1925): Observatory 48, 78ADSGoogle Scholar
  16. Endal, A.S., Sofia, S. (1978): Astrophys. J. 220, 279CrossRefADSGoogle Scholar
  17. Endal, A.S., Sofia, S. (1981): Astrophys. J. 243, 625CrossRefADSGoogle Scholar
  18. García López, R.J., Spruit, H. (1991): Astrophys. J. 377, 268CrossRefADSGoogle Scholar
  19. Goode, P.R., Dziembowski, W.A., Korzennik, S.G., Rhodes, E.J. (1991): Astrophys. J. 367, 649CrossRefADSGoogle Scholar
  20. Gough, D.O., Toomre, J. (1991): Ann. Review Astron. Astrophys. 29, 627CrossRefADSGoogle Scholar
  21. Law, W.Y., Knobloch, E., Spruit, H.C. (1984): Observational Tests of Stellar Evolution Theory (ed. A. Maeder, A. Renzini; Reidel, Dordrecht), 523Google Scholar
  22. Lebreton, Y., Maeder, A. (1987): Astron. Astrophys. 175, 99ADSGoogle Scholar
  23. Loudagh, S., Provost, J., Berthomieu, G., Ehgamberdiev, S., Fossat, E., Gelly, B., Grec, G., Khalikov, S., Lazrek, M., Palle, P., Regulo, C., Sanchez, L., Schmider, F.-X. (1993): Astron. Astrophys. 275, L25Google Scholar
  24. Mestel, L. (1953): Mon. Not. Roy. Astron. Soc. 113, 716zbMATHADSGoogle Scholar
  25. Pinsonneault, M.H., Kawaler, S.D., Demarque, P. (1990): Astrophys. J. Suppl. 74, 501CrossRefADSGoogle Scholar
  26. Pinsonneault, M.H., Kawaler, S.D., Sofia, S., Demarque, P. (1989): Astrophys. J. 338, 424CrossRefADSGoogle Scholar
  27. Press, W.H. (1981): Astrophys. J. 245, 286CrossRefADSMathSciNetGoogle Scholar
  28. Radick, R.R., Thompson, D.T., Lockwood, G.W., Duncan, D.K., Baggett, W.E. (1987): Astrophys. J. 321, 456CrossRefADSGoogle Scholar
  29. Randers, G. (1941): Astrophys. J. 94, 109CrossRefADSGoogle Scholar
  30. Sakurai, T. (1991): Mon. Not. Roy. Astron. Soc. 248, 457ADSGoogle Scholar
  31. Schatzman, E. (1945): Théorie du débit d'énergie des naines blanches. Annales d'Astrophys. 8, 143ADSGoogle Scholar
  32. Schatzman, E. (1959): Sur la perte de masse et les processus de freinage de la rotation. (I.A.U. Symposium 10, ed. by J. Greenstein) Annales d'Astrophys. Suppl. 8, 129ADSGoogle Scholar
  33. Schatzman, E. (1962): A theory of the role of magnetic activity during star formation. Annales d'Astrophys. 25, 18ADSGoogle Scholar
  34. Schatzman, E. (1969): Gravitational separation of the elements and turbulent transport. Astron. Astrophys. 3, 331ADSGoogle Scholar
  35. Schatzman, E. (1969): Turbulent transport, solar lithium and solar neutrinos. Astrophys. Letters 3, 139ADSGoogle Scholar
  36. Schatzman, E. (1977): Turbulent transport and lithium destruction in main-sequence stars. Astron. Astrophys. 56, 211ADSGoogle Scholar
  37. Schatzman, E. (1979): Turbulent diffusion in stars and the 12C/13C abundance ratio. Astron. Astrophys. 56, 211ADSGoogle Scholar
  38. Schatzman, E. (1991): On the lithium depletion by rotation induced diffusion. Mem. Soc. Astron. Ital. 62, 111ADSGoogle Scholar
  39. Schatzman, E. (1993a): Filtering of gravity waves. Astron. Astrophys. 271, L 29Google Scholar
  40. Schatzman, E. (1993b): Transport of angular momentum and diffusion by the action of internal waves. Astron. Astrophys. 279, 431ADSGoogle Scholar
  41. Schatzman, E., Baglin, A. (1991): On the physics of lithium depletion. Astron. Astrophys. 249, 125ADSGoogle Scholar
  42. Schatzman, E., Maeder, A. (1981): Stellar evolution with turbulent diffusion mixing. III. the solar model and the neutrino problem. Astron. Astrophys. 96, 1ADSGoogle Scholar
  43. Skumanich, A. (1972): Astrophys. J. 171, 563CrossRefGoogle Scholar
  44. Soderblom, D.R., Burton, F.J., Balachandran, S., Stauffer, J.R., Duncan, D.K., Fedele S.B., Hudon J.D. (1993a): Astron. J. 106, 1059CrossRefADSGoogle Scholar
  45. Soderblom, D.R., Hudon, J.D., Burton, F.J., Stauffer, J.R. (1991): Angular Momentum Evolution of Young Stars (ed. S. Catalano, J.R. Stauffer; Kluwer, Dordrecht), 243Google Scholar
  46. Soderblom, D.R., Oey, M.S., Johnson, D.R.H., Stone, R.P.S. (1990): Astron. J. 99, 595CrossRefADSGoogle Scholar
  47. Soderblom, D.R., Pilachowski, C.A., Fedele, S.B., Jones, B.F. (1993b): Astron. J. 105, 2299CrossRefADSGoogle Scholar
  48. Soderblom, D.R., Stauffer, J.R., McGregor, K. B., Jones, B.F. (1993c): Astrophys. J. 409, 624 type starsCrossRefADSGoogle Scholar
  49. Spiegel, E.A., Zahn, J.-P. (1992): Astron. Astrophys. 265, 106ADSGoogle Scholar
  50. Spite, F., Spite, M. (1982): Astron. Astrophys. 115, 357ADSGoogle Scholar
  51. Spite, M., Pasquini, L., Spite, F. (1994): Astron. Astrophys. (in print)Google Scholar
  52. Stauffer, J.R. (1991): Angular Momentum Evolution of Young Stars (ed. S. Catalano, J.R. Stauffer; Kluwer, Dordrecht), 117Google Scholar
  53. Sweet, P.A. (1950): Mon. Not. Roy. Astron. Soc. 110, 548zbMATHADSMathSciNetGoogle Scholar
  54. Toutain, Th., Fröhlich, C. (1992): Astron. Astrophys. 257, 287ADSGoogle Scholar
  55. Thorburn, J.A., Hobbs, L.M., Delyiannis, C.P., Pinsonneault, M.H. (1993): Astrophys. J. 415, 150CrossRefADSGoogle Scholar
  56. Townsend, A.A. (1958): J. Fluid Mech. 4, 361zbMATHCrossRefADSMathSciNetGoogle Scholar
  57. Vauclair, S. (1988): Astron. Astrophys. 335, 971ADSGoogle Scholar
  58. Vauclair, S., Vauclair, G., Schatzman, E., Michaud, G. (1978): Hydrodynamical instabilities in the envelopes of main sequence stars: constraints implied by the Li, Be and B observations. Astrophys. J. 223, 567CrossRefADSGoogle Scholar
  59. Van't Veer, F., Maceroni, C. (1988): Astron. Astrophys. 199, 183ADSGoogle Scholar
  60. Van't Veer, F., Maceroni, C. (1989): Astron. Astrophys. 200, 128ADSGoogle Scholar
  61. Vigneron, C., Mangeney, A., Catala, C., Schatzman, E. (1990): Angular momentum transport in pre-main sequence stars of intermediate mass. Solar Phys. 128, 287CrossRefADSGoogle Scholar
  62. Vogt, H. (1925): Astron. Nachr. 223, 229CrossRefADSzbMATHGoogle Scholar
  63. Zahn, J.-P. (1974): Stellar Instability and Evolution (ed. P. Ledoux, A. Noels, R.W. Rogers; Reidel, Dordrecht), 185Google Scholar
  64. Zahn, J.-P. (1975): Mém. Soc. Roy. Sci. Liège, 6e série 8, 31ADSGoogle Scholar
  65. Zahn, J.-P. (1992): Astron. Astrophys. 265, 115ADSGoogle Scholar
  66. Zahn, J.-P. (1993): Les Houches, session XLVII: Dynamique des Fluides Astrophysiques. (ed. J.-P. Zahn et J. Zinn-Justin; Elsevier Science Publ.), 561Google Scholar
  67. Zahn, J.-P. (1994a): Evolution of massive stars: a confrontation between theory and observations. (ed. D. Vanbeveren, W. Van Rensbergen and C. de Loore) Space Science Reviews 66, 285CrossRefADSGoogle Scholar
  68. Zahn, J.-P. (1994b): Astron. Astrophys. 288, 829ADSGoogle Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Jean-Paul Zahn
    • 1
    • 2
  1. 1.Département d’Astronomie Stellaire et Galactique, Observatoire de ParisSection de MeudonMeudonFrance
  2. 2.Astronomy DepartmentColumbia UniversityNew York

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