Summary: Gravitational Effects on Structure Development in Quenched
V. E. Badalassi,a
H. D. Cenicerosb
and S. Banerjeec
Department of Chemical Engineering, b
Department of Mathematics
University of California - Santa Barbara, CA 93106-5080
April 26, 2004
When binary liquid mixtures are cooled rapidly from a homogeneous phase into a two-
phase system, domains of the two equilibrium phases form and grow (`coarsen`) with time.
In the absence of an external forcing due to gravity or an imposed shear flow, a dynamical-
scaling regime emerges in which the domain morphology is statistically self-similar at different
times with a length-scale that grows with time. In the presence of gravity, however, multiple
length scales develop with the system coarsening more rapidly in the direction of the force.
The late-time behavior of such a system is characterized in this study by the calculation of
anisotropic growth laws. Gravitational effects significantly affect scaling laws even with small
density mismatch and the growth mechanism has some similarities to the sedimentation process.