Ks. Das et Jk. Bhattacharjee, Rayleigh-Marangoni convection in a critical fluid: A tale of two crossovers - art. no. 016311, PHYS REV E, 6401(1), 2001, pp. 6311
We show that if we take a thin layer of fluid where surface tension effects
are supposed to dominate and gradually bring the mean temperature of the l
ayer closer and closer to the liquid vapor critical point, then first there
is a crossover from Marangoni to Rayleigh-Benard convection and thence to
a convection whose onset is determined by the Schwarzchild criterion.