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Diffusion and Mixing in Main-Sequence Stars

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Abstract

The element settling which occurs inside stars, also called `microscopic diffusion', due to the combined effect of gravity, thermal gradient, radiative acceleration and concentration gradient, leads to abundance variations which cannot be neglected in the computations of stellar structure. These processes where first introduced to account for abundance anomalies in `peculiar stars', but their importance in the so-called `normal' stars is now fully acknowledged, specially after the evidence of helium settling in the Sun from helioseismology. The reason why abundance variations as large as predicted by microscopic diffusion are not always observed is due to the influence of macroscopic motions, like rotation-induced mixing, or mass loss, which increase the settling time scales. In the present review, I discuss the theories of element settling and rotation-induced mixing and the importance of their coupling. I also give some comments about the links between diffusion processes and asteroseismology.

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References

  • Alecian, G., Michaud, G. and Tully, J.: 1993, ApJ 411, 882.

    Google Scholar 

  • Aller, L.H. and Chapman, S.: 1960, ApJ 132, 461.

    Google Scholar 

  • Antia, H.M. and Chitre, S.M.: 1998, A&A 339, 239.

    Google Scholar 

  • Baglin, A.: 1972, A&A 19, 45.

    Google Scholar 

  • Balachandran, S. and Bell, R.A., 1998, Nature 392, 791.

    Google Scholar 

  • Balmforth, N.J., Cunha, M.S., Dolez, N., Gough, D.O. and Vauclair, S.: 2001, MNRAS 323, 362.

    Google Scholar 

  • Basu, S.: 1997, MNRAS 288, 572.

    Google Scholar 

  • Basu, S.: 1998, MNRAS 298, 719.

    Google Scholar 

  • Brun, A.S., Turck-Chièze, S. and Zahn, J.P.: 1999, ApJ 525, 1032.

    Google Scholar 

  • Burgers, J.M.: 1969, Flow Equations for Composite Gases, New York: Academic Press.

    Google Scholar 

  • Chaboyer, B. and Zahn, J.-P.: 1992, A&A 253, 173.

    Google Scholar 

  • Chapman, S. and Cowling, T.G.: 1970, The mathematical Theory of Non-Uniform Gases, Cambridge University Press, 3rd ed.

  • Charbonneau, P. and MacGregor, K.B.: 1992, ApJ 387, 639.

    Google Scholar 

  • Charpinet, S., Fontaine, G., Brassard, P., Chayer, P., Rogers, F.J., Iglesias, C.A. and Dorman, B.: 1997, ApJ 483, L123.

    Google Scholar 

  • Dolez, N. and Gough, D.O.: 1982, in: J.P. Cox and C.J. Hansen (eds.), Pulsations in Classical and Cataclysmic Variable Stars, (JILA, Boulder, CO), p. 248.

    Google Scholar 

  • Dolez, N., Gough, D.O. and Vauclair, S.: 1988, in: J. Christensen-Dalsgaard and S. Frandsen (eds.), Advances in Helio-and Asteroseismology, proc. IAU Symp. 123, 291.

  • Dziembowski, W.A. and Goode, P.R.: 1996, ApJ 458, 338.

    Google Scholar 

  • Eddington E., 1926, ‘The Internal Constitution of the Stars’, Dover Pub.

  • Geiss, J. and Gloecker, G.: 1998, Space Science Reviews 84, 239.

    Google Scholar 

  • Gelbmann, M., Ryabchikova, T., Weiss, W.W., Piskunov, N., Kupka, F. and Mathys, G.: 2000, A&A 356, 200.

    Google Scholar 

  • Gough, D.O., Kosovichev, A.G., Toomre, J., Anderson, E., Antia, H.M., Basu, S., Chaboyer, B., Chitre, S.M., Christensen-Dalsgaard, J., Dziembowski, W.A., Eff-Darwich, A., Elliott, J.R., Giles, P.M., Goode, P.R., Guzik, J.A., Harvey, J.W., Hill, F., Leibacher, J.W., Monteiro, M.J.P.F.G., Richard, O., Sekii, T., Shibahashi; H., Takata, M., Thompson, M.J., Vauclair, S. and Vorontosov, S.V.: 1996, Science 272, 1296.

    Google Scholar 

  • Gough, D.O. and MacIntyre, M.E.: 1998, Nature 394, 755.

    Google Scholar 

  • Kurtz, D.W.: 1989, MNRAS 238, 1077.

    Google Scholar 

  • Kurtz, D.W., Garrison, R.F., Koen, C., Hofman, G.F. and Viaranna, N.: 1995, MNRAS 276, 199.

    Google Scholar 

  • Maeder, A. and Zahn, J.-P.: 1998, A&A 334, 1000.

    Google Scholar 

  • Mestel, L.: 1953, MNRAS 113, 716.

    Google Scholar 

  • Mestel, L.: 1957, ApJ 126, 550.

    Google Scholar 

  • Mestel, L. and Moss, D.L.: 1986, MNRAS 221, 25.

    Google Scholar 

  • Mestel, L., Moss, D.L. and Tayler, R.J.: 1988, MNRAS 231, 873.

    Google Scholar 

  • Michaud, G.: 1970, ApJ 160, 641.

    Google Scholar 

  • Michaud, G., Charland, Y., Vauclair, S. and Vauclair, G.: 1976, ApJ 210, 445.

    Google Scholar 

  • Paquette, C., Pelletier, C., Fontaine, G. and Michaud, G.: 1986, ApJS 61, 177.

    Google Scholar 

  • Pinsonneault, M.H., Deliyannis, C.P. and Demarque P.: 1992, ApJS 78, 181.

    Google Scholar 

  • Richard, O., Michaud, G. and Richer, J.: 2001, ApJ 558, 377.

    Google Scholar 

  • Richard, O., Michaud, G., Richer, J., Turcotte, S., Turck-Chièze, S. and VandenBerg, D.A.: 2002a, ApJ 568, 979.

    Google Scholar 

  • Richard, O., Théado, S. and Vauclair, S.: 2002b, preprint.

  • Richard, O., Vauclair, S., Charbonnel, C. and Dziembowski, W.A.: 1996, A&A 312, 1000.

    Google Scholar 

  • Richer, J., Michaud, G. and Turcotte, S.: 2000, ApJ 529, 338.

    Google Scholar 

  • Richer, J., Michaud, G., Rogers, F.J., Iglesias, C.A., Turcotte, S. and Leblanc, F.: 1998, ApJ 492, 833.

    Google Scholar 

  • Ryabchikova, T., Piskunov, N., Kochukhov, O., Tsymbal, V., Mittermayer, P. and Weiss, W.W.: 2002, A&A 384, 545.

    Google Scholar 

  • Schatzman, E.: 1977, A&A 56, 211.

    Google Scholar 

  • Sweet, P.A.: 1950, MNRAS 110, 548.

    Google Scholar 

  • Tassoul, J.L. and Tassoul, M.: 1989, A&A 213, 397.

    Google Scholar 

  • Théado S. and Vauclair, S.: 2001, A&A 375, 70.

    Google Scholar 

  • Théado S. and Vauclair, S.: 2002, submitted to ApJ.

  • Turcotte, S., Richer, J. and Michaud, G.: 1998a, ApJ 504, 559.

    Google Scholar 

  • Turcotte, S., Richer, J., Michaud, G. and Christensen-Dalsgaard, J.: 2000, A&A 360, 603.

    Google Scholar 

  • Turcotte, S., Richer, J., Michaud, G., Iglesias, C.A. and Rogers, F.J.: 1998b, ApJ 504, 539.

    Google Scholar 

  • Vauclair, S. and Théado, S.: 2002, submitted to ApJ.

  • Vauclair, S.: 1975, A&A 45, 233.

    Google Scholar 

  • Vauclair, S.: 1999, A&A 351, 973.

    Google Scholar 

  • Vauclair, S., Dolez, N. and Gough, D.O.: 1991, A&A 252, 618.

    Google Scholar 

  • Vauclair, G., Vauclair, S. and Michaud, G.: 1978a, ApJ 223, 920.

    Google Scholar 

  • Vauclair, S., Vauclair, G., Schatzman, E. and Michaud, G.: 1978b, ApJ 223, 567.

    Google Scholar 

  • Zahn, J.-P.: 1992, A&A 265, 115.

    Google Scholar 

  • Zahn, J.-P.: 1993, in: J.-P. Zahn and J. Zinn-Justin (eds.), Astrophysical Fluid Dynamics, les Houches, XLVII, 561.

  • Zahn, J.-P., Talon S. and Matias, J.: 1997, A&A 322, 320.

    Google Scholar 

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Vauclair, S. Diffusion and Mixing in Main-Sequence Stars. Astrophysics and Space Science 284, 205–215 (2003). https://doi.org/10.1023/A:1023231416983

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