We aim to relate the kinetics of phase ordering to the morphology of d
omains pattern. We consider the late stages of phase transition where
coarsening is coalescence-limited, in the vicinity of a liquid-liquid
or gas-liquid critical points so as to benefit from its universality f
eatures. The volume fraction of the phases [Phi = vapor/(liquid plus v
apor)] is varied by performing thermal quenches below the phase coexis
ting curve. Gravity effects are suppressed by carrying out experiments
under reduced gravity and/or with density-matched binary liquids. We
observe for the particular volume fraction Phi(H) = 32+/-3% a sharp tr
ansition between slow growth (lengthscale similar to time(1/3), drop p
attern, nose coalescence) and fast growth (lengthscale similar to time
, interconnected pattern, dimple coalescence). We show from numerical
and scaling analyses that a threshold value Phi(H) approximate to 30%
naturally comes out from the interplay between Brownian diffusion and
hydrodynamics interactions.