W. Losert et al., EVOLUTION OF DENDRITIC PATTERNS DURING ALLOY SOLIDIFICATION - FROM THE INITIAL INSTABILITY TO THE STEADY-STATE, Proceedings of the National Academy of Sciences of the United Statesof America, 95(2), 1998, pp. 439-442
The evolution of the crystal-melt interface was investigated during di
rectional solidification of a dilute binary alloy, starting at the mar
ginal stability time ti at which the planar interface first becomes un
stable. The time delay between ti and the crossover time to at which t
he interface modulation becomes observable was determined experimental
ly, The interface morphology was analyzed as the cellular pattern appe
ared, and it was followed through the coarsening phase to the final st
eady-state dendritic pattern, The relevance of the initial instability
for steady-state pattern selection was verified experimentally, and s
ome aspects of the coarsening dynamics were measured and compared with
theoretical predictions of Warren and Langer [Warren, J. A. & Langer,
J, S, (1990) Phys. Rev. A 42, 3518-3525; Warren, J, A, & Langer, J. S
, (1993) Phys, Rev. E 47, 2702-2712].