Je. Williams et A. Griffin, Damping of condensate collective modes due to equilibration with the noncondensate - art. no. 023612, PHYS REV A, 6302(2), 2001, pp. 3612
We consider the damping of condensate collective modes in the collisionless
regime at finite temperatures arising from lack of equilibrium between the
condensate and the noncondensate atoms, an effect that is ignored in the u
sual discussion of the collisionless region. As a first approximation, we i
gnore the dynamics of the thermal cloud. Our calculations should be applica
ble to collective modes of the condensate that are oscillating out-of-phase
with the thermal cloud. We obtain a generalized Stringari equation of moti
on for the condensate at finite temperatures, which includes a damping term
associated with the fact that the condensate is not in diffusive equilibri
um with the static thermal cloud. This intercomponent collisional damping o
f the condensate modes is comparable in magnitude to the Landau damping con
sidered in the recent literature.