Skip to main content
Log in

Updated Toulouse solar models including the diffusion-circulation coupling and the effect of μ-gradients

  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

New solar models are presented, which have been computed with the most recent physical inputs (nuclear reaction rates, equation of state, opacities, microscopic diffusion). Rotation-induced mixing has been introduced in a way which includes the feed-back effect of the μ-gradient induced by helium settling. A parametrization of the tachocline region below the convective zone has also been added in the computations. The sound velocities have been computed in the models and compared to the seismic Sun. Our best model is described in some detail. Besides the new physical inputs, the most important improvement concerns the computations of μ-gradients during the solar evolution and their influence in slowing down rotation-induced mixing. This process can explain why lithium is depleted in the present Sun while beryllium is not, and meanwhile why 3He has not increased at the solar surface for at least 3 Gyrs.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Allen, C. W.: 1976, Astrophysical Quantities, 3rd ed.; Atholone Press, London.

    Google Scholar 

  • Alexander, D. R., and Ferguson, J. W.: 1994, Astrophys. J. 437, 879.

    Article  ADS  Google Scholar 

  • Angulo C., Arnould M., and Rayet M., (NACRE collaboration): 1999, Nuclear Physics. A. 656, 1, http://pntpm.ulb.ac.be/Nacre/nacre.htm.

    Article  ADS  Google Scholar 

  • Antia, H. M.: 1998, Astron. Astroph. 330, 336.

    ADS  Google Scholar 

  • Antia, H. M., Basu, S., and Chitre, S. M.: 1998, Monthly Notices Royal Astron. Soc. 298, 543.

    Article  ADS  Google Scholar 

  • Bahcall, J. N., and Pinsonneault, M. H.: 1992, Rev. Mod. Phys. 64(4), 885.

    Article  ADS  Google Scholar 

  • Bahcall, J. N., Pinsonneault, M. H., and Wasserburg, G. J.: 1995, Rev. Mod. Phys. 67, 781.

    Article  ADS  Google Scholar 

  • Balachandran, S., and Bell, R. A. 1997, BAAS 29, 1325.

    ADS  Google Scholar 

  • Basu, S.: 1997, Monthly Notices Royal Astron. Soc. 288, 572.

    ADS  Google Scholar 

  • Basu, S., and Antia, H. M.: 1997, Monthly Notices Royal Astron. Soc. 287, 189.

    ADS  Google Scholar 

  • Basu, S., and Antia, H. M.: 2001, Monthly Notices Royal Astron. Soc. 324, 498.

    Article  ADS  Google Scholar 

  • Basu, S., Däppen, W., and Nayfonov, A.: 1999, Astrophys. J. 518, 985.

    Article  ADS  Google Scholar 

  • Basu, S., Christensen-Dalsgaard, J., Chaplin, W. J., Elsworth, Y., Isaak, G. R., New, R., Schou, J., Thompson, M. J., and Tomczyk, S.: 1997, Monthly Notices Royal Astron. Soc. 292, 243.

    ADS  Google Scholar 

  • Brown, T. M., and Christensen-Dalsgaard, J.: 1998, Astrophys. J. Letters 500, L195.

    Article  ADS  Google Scholar 

  • Brun, A. S., Turck-Chièze S., and Morel P.: 1998a, Astrophys. J. 506, 913.

    Article  ADS  Google Scholar 

  • Brun, A. S., Turck-Chièze, S., and Zahn, J. P.: 1998, in Structure and Dynamics of the interior of the Sun and Sun-like Stars, SOHO 6, GONG 98 Workshop, Vol. 6, p. 439.

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Brun, A. S., Antia, H. M., Chitre, S. M., and Zahn, J.-P.: 2002, Astron. Astroph. 391, 725.

    Article  ADS  Google Scholar 

  • Chaboyer, B., and Zahn, J.-P.: 1992, Astron. Astrophys. 253, 173.

    ADS  Google Scholar 

  • Charbonneau, P., Christensen-Dalsgaard, J., Henning, R., Schou, J., Thompson, M. J., and Tomczyk, S.: 1998, in J. Provost and F.-X. Schmider (ed.), Sounding Solar and Stellar Interiors, (Nice: Obs Cote d'Azur) 161.

    Google Scholar 

  • Charbonneau, P., Christensen-Dalsgaard, J., Henning, R., Larsen, R. M., Schou, J., Thompson, M. J., and Tomczytz, S.: 1999, Astrophys. J. 527, 445.

    Article  ADS  Google Scholar 

  • Christensen-Dalsgaard, J., Gough, D. O., and Thompson, M. J.: 1991, Astrophys. J. 378, 413.

    Article  ADS  Google Scholar 

  • Christensen-Dalsgaard J. et al.: 1996, Science 272, 1286.

    ADS  Google Scholar 

  • Corbard, T., Berthomieu, G., Provost, J., and Morel, P.: 1998, Astron. Astrophys. 330, 1149.

    ADS  Google Scholar 

  • Corbard, T., Blanc-Feraud, L., Berthomieu, G., and Provost, J.: 1999, Astron. Astroph. 344, 696.

    ADS  Google Scholar 

  • Däppen, W., Mihalas, D., Hummer, D. G., and Mihalas, B. W.: 1988, Astrophys. J. 332, 261.

    ADS  Google Scholar 

  • Dziembowski, W. A., Pamyatnykh, A. A., and Sienkiewicz, R.: 1991, Monthly Notices Royal Astron. Soc. 249, 602.

    ADS  Google Scholar 

  • Dziembowski, W. A., Fiorentini, G., Ricci, B., and Sienkiewicz, R.: 1999, Astron. Astrophys. 343, 990.

    ADS  Google Scholar 

  • Elliot, J. R., and Gough, D. O.: 1999, Astrophys. J. 516, 475.

    ADS  Google Scholar 

  • Elliott, J. R., and Kosovichev, A. G.: 1998, Astrophys. J. 500, L199.

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Grevesse, N., and Noels, A.: 1993, in Origin and Evolution of the Elements, Prantzos N., Vangioni-Flam E., and Cassé M. (eds.), Cambridge Univ. Press, 15.

  • Guenther, D. B., and Demarque, P.: 1997, Astrophys. J. 484, 937.

    Article  ADS  Google Scholar 

  • Guenther, D. B., Demarque, P., Kim, Y. C., and Pinsonneault, M. H.: 1992, Astrophys. J. 387, 372.

    Article  ADS  Google Scholar 

  • Hummer, D. G., and Mihalas, D.: 1988, Astrophys. J. 331, 794.

    Article  ADS  Google Scholar 

  • Huppert, H. E., and Spiegel, E. A.: 1977, Astrophys. J. 213, 157.

    Article  ADS  Google Scholar 

  • Iglesias, C. A., and Rogers, F. J.: 1996, Astrophys. J. 464, 943.

    Article  ADS  Google Scholar 

  • Kosovichev, A. G.: 1995, Adv. Space Res. 15(7), 795.

    Google Scholar 

  • Kosovichev, A. G.: 1996, Astrophys. J. 469, L61.

    Article  ADS  Google Scholar 

  • Kosovichev, A. G. et al.: 1998, in Sounding Solar and Stellar Interiors, J. Provost and F.-X. Schmider (ed.), Nice: obs Cote d'Azur, 97.

    Google Scholar 

  • Maeder, A.: 1995, Astron. Astrophys. 299, 84.

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  • Mestel, L.: 1965, Stellar structure, in Kuiper G. P. and Middlehurts B. M. (ed.) Stars and Stellar Systems vol 8, Univ. Chicago Press, 465.

  • Mestel, L., and Moss, D. L.: 1986, Monthly Notices Royal Astron. Soc. 221, 25.

    ADS  Google Scholar 

  • Mihalas, D., Däppen, W., and Hummer, D. G.: 1988, Astrophys. J. 331, 815.

    Article  ADS  Google Scholar 

  • Montmerle, T., and Michaud, G.: 1976, Astrophys. J. Suppl. Sci. 31, 489.

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  • Richard, O., Dziembowski, W. A., Sienkiewicz, R., Goode, P. R.: 1998, Astron. Astrophys. 338, 756.

    ADS  Google Scholar 

  • Rogers, F. J., and Nayfonov, A.: 2002, Astrophys. J. 576, 1064

    Article  ADS  Google Scholar 

  • Rogers, F. J., Swenson, F. J., and Iglesias, C. A.: 1996, Astrophys. J. 456, 902.

    Article  ADS  Google Scholar 

  • Schlattl, H.: 2002, Astron. Astrophys. 395, 85.

    ADS  Google Scholar 

  • Schlattl, H., and Salaris, M.: 2003, Astron. Astrophys. 402, 29.

    Article  ADS  Google Scholar 

  • Schou, J., Kosovichev, A. G., Goode, P. R., and Dziembowski, W. A.: 1997, Astrophys. J. Letters 489, L197.

    ADS  Google Scholar 

  • Skumanich, A.: 1972, Astrophys. J. 171, 565.

    Article  ADS  Google Scholar 

  • Spiegel, E. A., and Zahn, J.-P.: 1992, Astron. Astroph. 265, 106.

    ADS  Google Scholar 

  • Talon, S., and Zahn, P.-J.: 1997, Astron. Astrophys. 317, 749.

    ADS  Google Scholar 

  • Théado, S., and Vauclair, S.: 2003a, Astrophys. J. 587, 784.

    ADS  Google Scholar 

  • Théado, S., and Vauclair, S.: 2003b, Astrophys. J. 587, 795.

    ADS  Google Scholar 

  • Tripathy, S. C., and Christensen-Dalsgaard, J.: 1998, Astron. Astrophys. 337, 579.

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  • Vauclair, S.: 1999, Astron. Astrophys. 351, 973.

    ADS  Google Scholar 

  • Vauclair, S., and Théado, S.: 2003, Astrophysys. J. 587, 777.

    ADS  Google Scholar 

  • Zahn, J.-P.: 1992, Astron. Astrophys. 265, 115.

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Richard, O., Théado, S. & Vauclair, S. Updated Toulouse solar models including the diffusion-circulation coupling and the effect of μ-gradients. Solar Physics 220, 243–259 (2004). https://doi.org/10.1023/B:SOLA.0000031394.68639.0b

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:SOLA.0000031394.68639.0b

Keywords

Navigation