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.
Aller, L.H. and Chapman, S.: 1960, ApJ 132, 461.
Antia, H.M. and Chitre, S.M.: 1998, AA 339, 239.
Baglin, A.: 1972, AA 19, 45.
Balachandran, S. and Bell, R.A., 1998, Nature 392, 791.
Balmforth, N.J., Cunha, M.S., Dolez, N., Gough, D.O. and Vauclair, S.: 2001, MNRAS 323, 362.
Basu, S.: 1997, MNRAS 288, 572.
Basu, S.: 1998, MNRAS 298, 719.
Brun, A.S., Turck-Chièze, S. and Zahn, J.P.: 1999, ApJ 525, 1032.
Burgers, J.M..: 1969, Flow Equations for Composite Gases, New York: Academic Press. Chaboyer, B. and Zahn, J.-P.: 1992, AA 253, 173.
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.
Charpinet, S., Fontaine, G., Brassard, P., Chayer, P., Rogers, F.J., Iglesias, C.A. and Dorman, B.: 1997, ApJ 483, L123.
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.
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.
Eddington E., 1926, `The Internal Constitution of the Stars’, Dover Pub.
Geiss, J. and Gloecker, G.: 1998, Space Science Reviews 84, 239.
Gelbmann, M., Ryabchikova, T., Weiss, W.W., Piskunov, N., Kupka, F. and Mathys, G.: 2000, AA 356, 200.
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.
Gough, D.O. and Maclntyre, M.E.: 1998, Nature 394, 755.
Kurtz, D.W.: 1989, MNRAS 238, 1077.
Kurtz, D.W., Garrison, R.F.,Koen, C., Hofman, G.F. and Viaranna, N.: 1995, MNRAS 276, 199.
Maeder, A. and Zahn, J.-P.: 1998, AA 334, 1000.
Mestel, L.: 1953, MNRAS 113, 716.
Mestel, L.: 1957, ApJ 126, 550.
Mestel, L. and Moss, D.L.: 1986, MNRAS 221, 25.
Mestel, L., Moss, D.L. and Tayler, R.J.: 1988, MNRAS 231, 873.
Michaud, G.: 1970, ApJ 160, 641.
Michaud, G., Charland, Y., Vauclair, S. and Vauclair, G.: 1976, ApJ 210, 445.
Paquette, C., Pelletier, C., Fontaine, G. and Michaud, G.: 1986, ApJS 61, 177.
Pinsonneault, M.H., Deliyannis, C.P. and Demarque R: 1992, ApJS 78, 181.
Richard, O., Michaud, G. and Richer, J.: 2001, ApJ 558, 377.
Richard, O., Michaud, G., Richer, J., Turcotte, S., Turck-Chièze, S. and VandenBerg, D.A.: 2002a, ApJ 568, 979.
Richard, O., Théado, S. and Vauclair, S.: 2002b, preprint.
Richard, O., Vauclair, S., Charbonnel, C. and Dziembowski, W.A.: 1996, AA 312, 1000.
Richer, J., Michaud, G. and Turcotte, S.: 2000, ApJ 529, 338.
Richer, J., Michaud, G., Rogers, F.J., Iglesias, C.A., Turcotte, S. and Leblanc, F.: 1998, ApJ 492, 833.
Ryabchikova, T., Piskunov, N., Kochukhov, O., Tsymbal, V., Mittermayer, P. and Weiss, W.W.: 2002, AA 384, 545.
Schatzman, E.: 1977, AA 56, 211.
Sweet, P.A.: 1950, MNRAS 110, 548.
Tassoul, J.L. and Tassoul, M.: 1989, AA 213, 397.
Théado S. and Vauclair, S.: 2001, AA 375, 70.
Théado S. and Vauclair, S.: 2002, submitted to ApJ.
Turcotte, S., Richer, J. and Michaud, G.: 1998a, ApJ 504, 559.
Turcotte, S., Richer, J., Michaud, G. and Christensen-Dalsgaard, J.: 2000, AA 360, 603.
Turcotte, S., Richer, J., Michaud, G., Iglesias, C.A. and Rogers, F.J.: 1998b, ApJ 504, 539.
Vauclair, S. and Théado, S.: 2002, submitted to ApJ.
Vauclair, S.: 1975, AA 45, 233. Vauclair, S.: 1999, AA 351, 973.
Vauclair, S., Dolez, N. and Gough, D.O.: 1991, AA 252, 618.
Vauclair, G., Vauclair, S. and Michaud, G.: 1978a, ApJ 223, 920.
Vauclair, S., Vauclair, G., Schatzman, E. and Michaud, G.: 1978b, ApJ 223, 567.
Zahn, J.-P.: 1992, AA 265, 115.
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, AA 322, 320.
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Vauclair, S. (2003). Diffusion and Mixing in Main-Sequence Stars. In: Thompson, M.J., Cunha, M.S., Monteiro, M.J.P.F.G. (eds) Asteroseismology Across the HR Diagram. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0799-2_26
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DOI: https://doi.org/10.1007/978-94-017-0799-2_26
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