Abstract
A novel semi-analytic spectral method, based on eigenfunction expansions, is applied to model the angular momentum transport in stellar radiative interiors. The advantages of our approach are shown by applying it to a spin-down model for a 1M ⊙ main-sequence star. The evolution of the coupling between core and envelope is investigated for different values of the viscosity and different geometries and intensities of the poloidal field. We suggest that a quadrupolar poloidal field may explain the short coupling timescale (τ c∼10 Myr) needed to reproduce the observed rotational evolution of fast rotators on the zero age main sequence, while a dipolar geometry is indicated in the case of slow rotators (τ c∼100 Myr). Our method provides a rigorous analytic treatment of a classic MHD problem and allows us to explore the influence of various parameters on the rotational history of radiative interiors.
Similar content being viewed by others
References
Allain, S.: Astron. Astrophys. 333, 629 (1998)
Barnes, S.A.: Astrophys. J. 586, 464 (2003)
Bouvier, J.: Astron. Astrophys. 489, L53 (2008)
Brun, A.S., Zahn, J.-P.: Astron. Astrophys. 457, 665 (2006)
Charbonneau, P., MacGregor, K.B.: Astrophys. J. 417, 762 (1993)
Garaud, P., Guervilly, C.: Astrophys. J. 695, 799 (2009)
Haberman, R.: Applied Partial Differential Equations. Prentice Hall, Upper Saddle River (2004)
Kawaler, S.D.: Astrophys. J. 333, 236 (1988)
Kitchatinov, L.L., Jardine, M., Collier Cameron, A.: Astron. Astrophys. 374, 250 (2001)
Krishnamurthi, A., Pinsonneault, M.H., Barnes, S.A., Sofia, S.: Astrophys. J. 480, 303 (1997)
Lanza, A.F.: Astron. Astrophys. 471, 1011 (2007)
Mestel, L., Tayler, R.J., Moss, D.L.: Mon. Not. R. Astron. Soc. 231, 873 (1988)
Morse, P.M., Feshbach, H.: Methods of Theoretical Physics. McGraw-Hill, New York (1953)
Pitts, E., Tayler, R.J.: Mon. Not. R. Astron. Soc. 216, 139 (1985)
Rädler, K.-H.: Astron. Nachr. 301, 101 (1980)
Rüdiger, G.: Differential Rotation and Stellar Convection. Akademie Verlag, Berlin (1989)
Rüdiger, G., Kitchatinov, L.L.: Astrophys. J. 466, 1078 (1996)
Schatzman, E.: Ann. Astrophys. 25, 18 (1962)
Spada, F.: Ph.D. Thesis, University of Catania (2009)
Spada, F., Lanzafame, A.C., Lanza, A.F.: Mon. Not. R. Astron. Soc., (2009, in press). arXiv:0912.4528
Spitzer, L.: Physics of Fully Ionized Gases. Interscience, New York (1962)
Spruit, H.C.: Astron. Astrophys. 349, 189 (1999)
Spruit, H.C.: Astron. Astrophys. 381, 923 (2002)
Thompson, M.J., Christensen-Dalsgaard, J., Miesch, M.S., Toomre, J.: Annu. Rev. Astron. Astrophys. 41, 599 (2003)
Weinberger, H.: A First Course in Partial Differential Equations with Complex Variables and Transform Methods. Dover, New York (1995)
Zahn, J.-P., Brun, A.S., Mathis, S.: Astron. Astrophys. 474, 145 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Spada, F., Lanzafame, A.C. & Lanza, A.F. A semi-analytic approach to angular momentum transport in stellar radiative interiors. Astrophys Space Sci 328, 279–283 (2010). https://doi.org/10.1007/s10509-009-0243-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-009-0243-z