Résumé / Abstract Seminaire_IAP
« Kinetic theory in galactic centers »

Christophe Pichon
Institut d'Astrophysique de Paris (Paris, France)

I will review the formalism allowing for the description of the long-term evolution of a large set of particles orbiting a dominant massive object, such as in galactic nuclei. Because stars move in the quasi-Keplerian potential induced by the central black hole, their orbits can be approximated by ellipses whose orientations remain fixed over many dynamical times. Yet, on secular timescales, such a system will undergo a slow collisional relaxation driven by the remaining fluctuations in the system. When these fluctuations originate from the system intrinsic graininess (finite-N effects), the associated (scalar) resonant relaxation is captured by the (degenerate) inhomogeneous Balescu-Lenard equation. I will review in detail this kinetic formalism and emphasise the key physical mechanisms at play in this context. I will show in particular how one can account for the system's inhomogeneity (intricate trajectories), as well as the system's ability to amplify perturbations (self-gravity). I will finally show how such methods may be used to study the self-induced resonant relaxation of a discrete self-gravitating razor-thin axisymmetric disc orbiting a massive black hole, to recover for example the quenching of resonant diffusion in the vicinity of the black hole due to the divergence of the relativistic precessions.
Friday 02 February 2018 - 11:00
Amphithéâtre Henri Mineur, Institut d'Astrophysique de Paris
Page web du séminaire / Seminar's webpage