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SUMMARY:Tides in the high-eccentricity migration of hot Jupiters: Triggeri
 ng diffusive growth by nonlinear mode interactions - Hang Yu - Caltech
DTSTART:20210614T150000Z
DTEND:20210614T160000Z
UID:TALK154534@talks.cam.ac.uk
CONTACT:Cleo Loi
DESCRIPTION:High eccentricity migration is a possible formation channel fo
 r hot Jupiters. However\, in order for it to be consistent with the observ
 ed population of planets\, tides must circularize the orbits in an efficie
 nt way. A potential mechanism for such rapid circularization is the diffus
 ive growth of the tidally driven planetary f-mode. Such growth occurs if t
 he f-mode's phase at pericenter varies chaotically from one pericenter pas
 sage to the next. Previous studies focused on the variation of the orbital
  period due to tidal back-reaction on the orbit as the source of chaos. He
 re we show that nonlinear mode interactions can also be an important sourc
 e. Specifically\, we show that nonlinear interactions between a parent f-m
 ode and daughter f-/p-modes induce an energy-dependent shift in the oscill
 ation frequency of the parent. This frequency shift varies randomly from o
 rbit to orbit because the parent's energy varies. As a result\, the parent
 's phase at pericenter varies randomly\, which we find can trigger it to g
 row diffusively. We show that the phase shift induced by nonlinear mode in
 teractions in fact dominates the shift induced by tidal back-reaction and 
 significantly lowers the one-kick energy threshold for diffusive growth by
  about a factor of 5 compared to the linear theory's prediction. Nonlinear
  interactions could thus enhance the formation rate of hot Jupiters throug
 h the high-eccentricity migration channel and potentially mitigate the dis
 crepancy between the observed and predicted occurrence rates for close-in 
 gas giants as compared to those further from the star.
LOCATION:Online
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