Jf. Marko, INFLUENCE OF SURFACE INTERACTIONS ON SPINODAL DECOMPOSITION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(4), 1993, pp. 2861-2879
Domain growth in a binary mixture, after a quench through its demixing
critical point, near a boundary that attracts one of the components,
is discussed. When mean-field theory is valid for equilibrium properti
es, a single domain may form at the substrate for much weaker surface
interactions than those necessary for complete wetting in equilibrium.
Prediction of a transition from such a ''plating'' configuration to '
'surface droplets'' is verified using cell-dynamical simulations. At l
ater times, if diffusion is the dominant transport process, simulation
s show the surface domain thickness to increase according to the bulk
domain growth law R = t1/3-if there is not too much order near the bou
ndary induced by the surface forces at early times. If a series of con
centration oscillations is set up near the boundary at early times, su
rface domain thickening can be greatly slowed down. At still later tim
es, the role that hydrodynamic flows play in changing the surface doma
in size is studied: the surface tension to viscosity ratio v0 = sigma/
eta is an upper bound on interface velocities. This bound is obeyed by
recent experiments that show ''fast'' growth of surface domains.