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Stochastic Excitation of Acoustic Modes in Stars

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The Pulsations of the Sun and the Stars

Part of the book series: Lecture Notes in Physics ((LNP,volume 832))

Abstract

For more than ten years, solar-like oscillations have been detected and frequencies measured for a growing number of stars with various characteristics (e.g. different evolutionary stages, effective temperatures, gravities, metal abundances...). Excitation of such oscillations is attributed to turbulent convection and takes place in the uppermost part of the convective envelope. Since the pioneering work of Goldreich and Keeley (APJ, 211:934, 1977; 212:243, 1977) more sophisticated theoretical models of stochastic excitation were developed, which differ from each other both by the way turbulent convection is modeled and by the assumed sources of excitation. We review here these different models and their underlying approximations and assumptions. We emphasize how the computed mode excitation rates crucially depend on the way turbulent convection is described but also on the stratification and the metal abundance of the upper layers of the star. In turn we will show how the seismic measurements collected so far allow us to infer properties of turbulent convection in stars.

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Notes

  1. 1.

    A monopole term is associated with a fluctuation of density.

  2. 2.

    A dipole term is associated with a fluctuation of a force.

  3. 3.

    A quadrupole term is associated with a shear.

  4. 4.

    Neglecting the perturbation of the gravity corresponds to Cowling [24]’s approximation. This approximation remains valid for modes with a high \(n\) radial order.

  5. 5.

    for the sake of simplicity we assume here an isotropic medium, accordingly the flux of kinetic energy is the same in any direction.

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Acknowledgements

I am very grateful to Marie-Jo Goupil and Kévin Belkacem for their valuable comments and advise. I am indebted to J. Leibacher for his careful reading of the manuscript. I am grateful to the organizers of the CNRS school of St-Flour for their invitation and I thank the CNRS for the financial support.

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  1. Observatoire de Paris, LESIA, CNRS UMR 8109, 92195, Meudon, France

    R. Samadi

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  1. Dept. GEMINI, Observatoire de la Cote d'Azur, av. Copernic, Grasse, 06130, France

    Jean-Pierre Rozelot

  2. GEPI, bâtiment Copernic A, Observatoire de Meudon, place Jules Janssen 5, Meudon, Cedex, 92195, France

    Coralie Neiner

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Samadi, R. (2011). Stochastic Excitation of Acoustic Modes in Stars. In: Rozelot, JP., Neiner, C. (eds) The Pulsations of the Sun and the Stars. Lecture Notes in Physics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19928-8_11

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  • DOI: https://doi.org/10.1007/978-3-642-19928-8_11

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