Fallback Rates from Partial Tidal Disruption Events
  A tidal disruption event (TDE) occurs when a star plunges through a
supermassive black hole's tidal radius, at which point the star's self-gravity
is overwhelmed by the tidal gravity of the black hole. In a partial TDE, where
the star does not reach the full disruption radius, only a fraction of the
star's mass is tidally stripped while the rest remains intact in the form of a
surviving core. Analytical arguments have recently suggested that the temporal
scaling of the fallback rate of debris to the black hole asymptotes to
$t^{-9/4}$ for partial disruptions, effectively independently of the mass of
the intact core. We present hydrodynamical simulations that verify the
existence of this predicted, $t^{-9/4}$ scaling. We also define a break
timescale -- the time at which the fallback rate transitions from a $t^{-5/3}$
scaling to the characteristic $t^{-9/4}$ scaling -- and measure this break
timescale as a function of the impact parameter and the surviving core mass.
These results deepen our understanding of the properties and breadth of
possible fallback curves expected from TDEs and will therefore facilitate more
accurate interpretation of data from wide-field surveys.
