Abstract
While the solar convection zone is very well mixed by its turbulent motions, chemical composition gradients build up in the radiative interior due to microscopic diffusion and settling, and to nuclear burning. Standard models, which ignore any type of macroscopic transport, cannot explain the depletion of lithium in solar-type stars, as they evolve; neither do they account for the observed profile of molecular weight at the base of the solar convection zone.
Such macroscopic transport can be achieved through thermally driven meridian currents, through turbulent diffusion generated by differential rotation and possibly through gravity waves. These processes transport also angular momentum, and therefore the internal rotation profile of the Sun provides a crucial test for their relative importance. So does also the behavior of tidally locked binaries, which appear to destroy less lithium than single stars of the same mass.
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References
Basu, S.: 1997, ‘Seismology of the base of the solar convection zone', Monthly Not. Roy. Astron. Soc. 288, 572.
Brun, A.S., Turck-Chieze, S. and Zahn J.-P.: 1998, ‘Macroscopic processes in the solar interior', to appear in SOHO6/GONG98 Proc. Structure and Dynamics of the Interior of the Sun and Sun-like Stars.
Busse, F.H.: 1981, ‘Do Eddington-Sweet circulations exist?', Geophys. Astrophys. Fluid Dynamics 17, 215.
Brown, T.M, Christensen-Dalsgaard, J., Dziembowski, W.A., Goode, P., Gough, D.O. and Morrow, C.A.: 1989, ‘Inferring the Sun's internal angular velocity from observed p-mode frequency splittings', Astrophys. J. 343, 526.
Chaboyer, B., and Zahn, J.-P.: 1992, ‘Effect of horizontal turbulent diffusion on transport by meridional circulation', Astron. Astrophys. 253, 143.
Chaboyer, B., Demarque, P., Guenther, D.B. and Pinsonncault, M.H.: 1995, ‘Rotation, diffusion and overshoot in the Sun', Astrophys. J. 446, 435.
Charbonneau, P., and MacGregor, K.B.: 1993, ‘Angular momentum transport in magnetized stellar radiative zones. II. The solar spin-down', Astrophys. J. 417, 762.
Charbonneau, P., Christensen-Dalsgaard, J., Henning, A., Schou, J., and Thompson, M.J.: 1997, ‘Angular momentum transport in the Sun through meridian circulation', IAU Symposium 181/ (ed. J. Provost and F.X. Schmider). in press.
Christensen-Dalsgaard, J., Monteiro, M., and Thompson, M.J.: 1995, ‘Helioseismic estimation of convective overshoot in the Sun, Monthly Not. Roy. Astron. Soc. 276, 283.
Corbard, T., Berthomieu, G., Provost, J., and Morel, P.: 1992 ‘Inferring the equatorial solar tachocline from frequency splittings', Astron. Astrophys. 330, 1149.
Eddington, A.S.: 1925, ‘Circulating currents in rotating stars', Observatory 48, 73.
Elliott, J.R.: 1997, ‘Aspects of the solar tachocline', Astron. Astrophys. 327, 1222.
Elliott, J.R., Miesch, M.S., and Toomre, J.: 1998, ‘Rotating spherical shell convection', preprint.
Freytag, B., Ludwig, H.-G., and Steffen, M.: 1996, ‘Hydrodynamical models of stellar convection', Astron. Astrophys. 313, 497.
Gough, D.: 1998, ‘Solar interior', Space Sci. Rev., this volume.
Howard, L.N., Moore, D.W., and Spiegel, E.A.: 1967, ‘Solar spin-down problem', Nature 214, 1297.
Hurlburt, N.E., Toomre, J., and Massaguer, J.: 1986, ‘Nonlinear compressible convection penetrating into stable layers and producing internal gravity waves', Astrophys. J. 311, 563.
Hurlburt, N.E., Toomre, J., Massaguer, J.M., and Zahn, J.-P.: 1994, ‘Penetration below a convection zone', Astrophys. J. 421, 245.
Julien, K., Werne, L., Legg, S., and McWilliams, J.: 1997, ‘The effect of rotation on convective overshoot', Solar Convection and Oscillations and their Relationship (F.P. Pijpers, J. Christensen-Dalsgaard and C.S. Rosenthal, eds.; Kluwer, Astrophysics and Space Science Library vol. 225), 231.
Kosovichev, A.G., and Duvail, T.L. Jr.: 1997, ‘Acoustic tomography of solar convective flows and structures', Solar Convection and Oscillations and their Relationship (F.P. Pijpers, J. Christensen-Dalsgaard and C.S. Rosenthal, eds.; Kluwer, Astrophysics and Space Science Library vol. 225), 241.
Kumar, P., and Quataert, E.J.: 1997, ‘Angular momentum transport by gravity waves and its effect on the rotation of the solar interior', Astrophys. J. 475, L143.
Lesieur, M.: 1997 Turbulence in Fluids (3d edition; Kluwer Acad. Publ.)
Malagoli, A., Cattaneo, F., and Brummel, N.H.: 1990, ‘Turbulent supersonic convection in three dimensions', Astrophys. J. 361, L33.
Matias, J., and Zahn, J.-P.: 1997, ‘Angular momentum transport in the Sun through meridian circulation', IAU Symposium 181 (ed. J. Provost and F.X. Schmider), in press.
Mestel, L.: 1953, ‘Rotation and stellar evolution', Monthly Not. Roy. Astron. Soc. 113, 716.
Michaud, G., and Zahn, J.-P.: 1998, ‘Turbulent transport in stellar interiors', Theor. Comput. Fluid Dynamics, in press.
Pinsonneault, M.H., Kawaler, S.D., Sofia, S. and Demarque, P.: 1989, ‘Evolutionary models of the rotating Sun', Astrophys. J. 338, 424.
Press, W.H.: 1981, ‘Radiative and other effects from internal waves in stellar interiors', Astrophys. J. 245, 286.
Richard, O., Vauclair, S., Charbonncl, C. and Dziembowski, W.A.: 1996, ‘New solar models including helioseismological constraints and light-element depletion', Astron. Astrophys. 312, 1000.
Rieutord, M., and Zahn, J.-P.: 1995, ‘Turbulent plumes in stellar convective envelopes', Astron. Astrophys. 296, 127.
Roxburgh, I.W., and Vorontsov, S.V.: 1994, ‘Seismology of the solar envelope: the base of the convection zone as seen in the phase shift of acoustic waves', Mon. Not. Roy. Astron. Soc. 268, 880.
Saslaw, W.C., and Schwarzschild, M.: 1965, ‘The overshoot region at the bottom of the solar convection zone', Astrophys. J. 142, 1468.
Schatzman, E.: 1962, ‘A theory for the role of magnetic activity during star formation', Ann. Astrophys. 25, 18.
Schatzman, E.: 1993, ‘Transport of angular momentum and diffusion by the action of internal waves', Astron. Astrophys. 279, 431.
Schatzman, E.: 1996, ‘Diffusion process produced by random internal waves', J. Fluid Mech. 322, 355.
Schmitt, J.H.M.M., Rosner, R., and Bohn, H.U.: 1984, ‘The overshoot region at the bottom of the solar convection zone', Astrophys. J. 282, 316.
Shaviv, G., and Salpeter, E.: 1973, ‘Convective overshooting in stellar interior models', Astrophys. J. 184, 191.
Skumanich, A.: 1972, ‘Time scales for Call emission decay, rotational braking and lithium depletion', Astrophys. J. 171, 563.
Spiegel, E.A., and Zahn, J.-P.: 1992, ‘The solar tachocline', Astron. Astrophys. 265, 106.
Stein, R.F., and Nordlund, A.: 1989, ‘Topology of convection beneath the solar surface', Astrophys. J. 342, L95.
Sweet, P.A.: 1950, ‘The importance of rotation in stellar evolution', Monthly Not. Roy. Astron. Soc. 110, 548.
Talon, S. and Zalm, J.-P.: 1996, ‘Anisotropic diffusion and shear instabilities', Astron. Astrophys. 317, 749.
Thompson, M.J., Toomre, J., Anderson, E.R., Antia, H.M., Berthomieu, G., Burtonclay, D., Chitre, S.M., Christensen-Dalsgaard, J., Corbard, T., DeRosa, M., Genovese, C.R., Gough, D.O., Haber, D.A., Harvey, J.W., Hill, F., Howe, R., Korzennik, S.G., Kosovichev, A.G., Leibacher, J.W., Pijpers, F.P., Provost, J., Rhodes Jr., E.J., Schou, J., Sekii, T., Stark, P.B., and Wilson, P.R.: 1996, ‘Differential rotation and dynamics of the solar interior', Science 272, 1300.
Thorburn, J.A., Hobbs, L.M., Deliyannis, C.P. and Pinsonneault, M.H.: 1993, ‘Lithium in the Hyades. I — New observations', Astrophys. J. 415, 150.
Toomre, J., Zahn, J.-P., Latour, J. and Spiegel, E.A.: 1976, ‘Stellar convection theory. II. Single mode study of the second convection zone in an A type star.’ Astrophys. J. 207, 545.
Vauciair, S.: 1998, ‘Element settling in the solar interior', Space Sci. Rev., this volume.
Vogt, H.: 1925, ‘Zum Strahlungsgleichgewicht der Sterne', Astron. Nachr. 223, 229.
Watson, M.: 1981, ‘Shear instability of differential rotation in stars', Geophys. Astroph. Fluid Dyn. 16, 285.
Zahn J.-P.: 1974, ‘Rotational instabilities and stellar evolution.’ Stellar Instability and Evolution (ed. P. Ledoux, A. Noels and R.W. Rogers; Reidel), 185.
Zahn J.-P.: 1991, ‘Convective penetration in stellar interiors', Astron. Astrophys. 252, 179.
Zahn J.-P.: 1992, ‘Circulation and turbulence in rotating stars', Astron. Astrophys. 265, 115.
Zahn, J.-P.: 1994, ‘Rotation and lithium depletion in late-type binaries', Astron. Astrophys. 288, 829.
Zahn, J.-P., Talon, S. and Matias, J.: 1997, ‘Angular momentum transport by internal waves in the solar interior', Astron. Astrophys. 322, 320.
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Zahn, JP. Macroscopic Transport Large-scale advection, turbulent diffusion, wave transport. Space Science Reviews 85, 79–90 (1998). https://doi.org/10.1023/A:1005188719729
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DOI: https://doi.org/10.1023/A:1005188719729