[en] Seismic observations by the space-borne mission Kepler have shown that the core of red giant stars slows down while evolving, requiring an efficient physical mechanism to extract angular momentum from the inner layers. Current stellar evolution codes fail to reproduce the observed rotation rates by several orders of magnitude and instead predict a drastic spin-up of red giant cores. New efficient mechanisms of angular momentum transport are thus required. In this framework, our aim is to investigate the possibility that mixed modes extract angular momentum from the inner radiative regions of evolved low-mass stars. To this end, we consider the transformed Eulerian mean (TEM) formalism, which allows us to consider the combined effect of both the wave momentum flux in the mean angular momentum equation and the wave heat flux in the mean entropy equation as well as their interplay with the meridional circulation. In radiative layers of evolved low-mass stars, the quasi-adiabatic approximation, the limit of slow rotation, and the asymptotic regime can be applied for mixed modes and enable us to establish a prescription for the wave fluxes in the mean equations. The formalism is finally applied to a 1.3 M[SUB]⊙[/SUB] benchmark model, representative of observed CoRoT and Kepler oscillating evolved stars. We show that the influence of the wave heat flux on the mean angular momentum is not negligible and that the overall effect of mixed modes is to extract angular momentum from the innermost region of the star. A quantitative and accurate estimate requires realistic values of mode amplitudes. This is provided in a companion paper. Appendix A is available in electronic form at <A href="http://www.aanda.org/10.1051/0004-6361/201526042/olm">http://www.aanda.org</A>
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Belkacem, K.; LESIA, Observatoire de Paris, PSL Research University, CNRS, Université Pierre et Marie Curie, Université Denis Diderot, 92195, Meudon, France
Marques, J. P.; Institut d'Astrophysique Spatiale, CNRS, Université Paris XI, 91405, Orsay Cedex, France
Goupil, M. J.; LESIA, Observatoire de Paris, PSL Research University, CNRS, Université Pierre et Marie Curie, Université Denis Diderot, 92195, Meudon, France
Sonoi, T.; LESIA, Observatoire de Paris, PSL Research University, CNRS, Université Pierre et Marie Curie, Université Denis Diderot, 92195, Meudon, France
Ouazzani, R. M.; Stellar Astrophysics Centre, Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, 8000, Aarhus C, Denmark
Dupret, Marc-Antoine ; Université de Liège > Département d'astrophys., géophysique et océanographie (AGO) > Astrophysique stellaire théorique et astérosismologie
Mathis, S.; Laboratoire AIM Paris-Saclay, CEA/DSM-CNRS-Université Paris Diderot, IRFU /SAp, Centre de Saclay, 91191, Gif-sur-Yvette Cedex, France ; LESIA, Observatoire de Paris, PSL Research University, CNRS, Université Pierre et Marie Curie, Université Denis Diderot, 92195, Meudon, France
Mosser, B.; LESIA, Observatoire de Paris, PSL Research University, CNRS, Université Pierre et Marie Curie, Université Denis Diderot, 92195, Meudon, France
Grosjean, M.; Institut d'Astrophysique et de Géophysique, Université de Liège, Allée du 6 Août 17, 4000, Liège, Belgium)
Language :
English
Title :
Angular momentum redistribution by mixed modes in evolved low-mass stars. I. Theoretical formalism
Alexander, D. R., & Ferguson, J. W. 1994, ApJ, 437, 879
Ando, H. 1983, PASJ, 35, 343
Ando, H. 1986, A&A, 163, 97
Andrews, D. G., & McIntyre, M. E. 1976, J. Atmos. Sci., 33, 2031
Andrews, D. G., & McIntyre, M. E. 1978a, J. Fluid Mech., 89, 609
Andrews, D. G., & McIntyre, M. E. 1978b, J. Atmos. Sci., 35, 175
Andrews, D. G., Holton, J. R., & Leovy, C. B. 1987, Middle atmosphere dynamics (Academic Press)
Angulo, C., Arnould, M., Rayet, M., et al. 1999, Nucl. Phys. A, 656, 3
Asplund, M., Grevesse, N., & Sauval, A. J. 2005, in Cosmic Abundances as Records of Stellar Evolution and Nucleosynthesis, eds. T. G. Barnes III, & F. N. Bash, ASP Conf. Ser., 336, 25
Baglin, A., Auvergne, M., Barge, P., et al. 2006a, in ESA SP 1306, eds. M. Fridlund, A. Baglin, J. Lochard, & L. Conroy, 33
Baglin, A., Auvergne, M., Boisnard, L., et al. 2006b, in 36th COSPAR Scientific Assembly, COSPAR Meet., 36, 3749
Beck, P. G., Montalban, J., Kallinger, T., et al. 2012, Nature, 481, 55
Bedding, T. R., Huber, D., Stello, D., et al. 2010, ApJ, 713, L176
Bedding, T. R., Mosser, B., Huber, D., et al. 2011, Nature, 471, 608
Belkacem, K., Marques, J. P., Goupil, M. J., et al. 2015, A&A, 579, A31
Borucki, W. J., Koch, D., Basri, G., et al. 2010, Science, 327, 977
Bretherton, F. P. 1969, Quart. J. Roy. Meteorol. Soc., 95, 213
Cantiello, M., Mankovich, C., Bildsten, L., Christensen-Dalsgaard, J., & Paxton, B. 2014, ApJ, 788, 93
Canuto, V. M., Goldman, I., & Mazzitelli, I. 1996, ApJ, 473, 550
Ceillier, T., Eggenberger, P., García, R. A., & Mathis, S. 2013, A&A, 555, A54
Chaplin, W. J., & Miglio, A. 2013, ARA&A, 51, 353
Chaplin, W. J., Kjeldsen, H., Christensen-Dalsgaard, J., et al. 2011, Science, 332, 213
Charbonnel, C., & Talon, S. 2005, Science, 309, 2189
Charbonnel, C., & Zahn, J.-P. 2007, A&A, 467, L15
Christensen-Dalsgaard, J. 2008, Ap&SS, 316, 113
Christensen-Dalsgaard, J. 2011, Astrophysics Source Code Library [record ascl:1109.002]
Deheuvels, S., García, R. A., Chaplin, W. J., et al. 2012, ApJ, 756, 19
Deheuvels, S., Doʇan, G., Goupil, M. J., et al. 2014, A&A, 564, A27
Dintrans, B., & Rieutord, M. 2001, MNRAS, 324, 635
Dziembowski, W. A., Gough, D. O., Houdek, G., & Sienkiewicz, R. 2001, MNRAS, 328, 601
Lee, U. 2007, in Active OB-Stars: Laboratories for Stellare and Circumstellar Physics, eds. A. T. Okazaki, S. P. Owocki, & S. Stefl, ASP Conf. Ser., 361, 45
Maeder, A. 2009, Physics, Formation and Evolution of Rotating Stars, Physics, Formation and Evolution of Rotating Stars: Astronomy and Astrophysics Library (Berlin, Heidelberg: Springer)
Maeder, A., & Meynet, G. 2014, ApJ, 793, 123
Maeder, A., & Zahn, J.-P. 1998, A&A, 334, 1000
Marques, J. P., Goupil, M. J., Lebreton, Y., et al. 2013, A&A, 549, A74
Mathis, S. 2009, A&A, 506, 811
Mathis, S. 2013, in Lect. Notes Phys. 865, eds. M. Goupil, K. Belkacem, C. Neiner, F. Lignières, & J. J. Green (Berlin: Springer Verlag), 23