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SUMMARY: Resonant relaxation of stars around a supermassive black hole  - 
 Jean-Baptiste Fouvry (IAS)
DTSTART:20190528T120000Z
DTEND:20190528T130000Z
UID:TALK123385@talks.cam.ac.uk
CONTACT:Dr William Béthune
DESCRIPTION:In the vicinity of a supermassive black hole\, stars move on n
 early Keplerian orbits. Yet\, because of the enclosed stellar mass and gen
 eral relativity\, the potential slightly deviates from the Keplerian one\,
  which causes the stellar orbits to precess. Similarly\, as a result of th
 e finite number of stars\, the mutual gravitational torques between pairs 
 of stars also drive a rapid reorientation of the stars' orbital orientatio
 n\, much faster than the standard two-body relaxation driven by local scat
 terings. Overall\, the combination of these two effects leads to a stochas
 tic evolution of stellar orbital angular momentum vectors\, through a proc
 ess named ``resonant relaxation''. Owing to recent developments in the dif
 fusion theory of long-range interacting systems\, I will show how one can 
 fully describe such dynamics\, in particular scalar resonant relaxation (r
 elaxation of the norm of the angular momentum) and vector resonant relaxat
 ion (relaxation of the direction of the angular momentum vector). I will a
 lso highlight some astrophysical applications of these new methods\, for e
 xample to understand the inefficiency of resonant relaxation to induce ste
 llar tidal disruptions. 
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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