Lm. Williams et al., DENDRITIC SIDEBRANCHING WITH PERIODIC LOCALIZED PERTURBATIONS - DIRECTIONAL SOLIDIFICATION OF PIVALIC ACID COUMARIN 152 MIXTURES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(1), 1993, pp. 489-499
We have studied the response of the sidebranches of pivalic acid dendr
ites, growing by directional solidification, to localized periodic the
rmal perturbations. The perturbations were generated by a laser beam f
ocused near the tip of a single dendrite growing in a glass capillary,
with the pulse duration, repetition rate, and intensity controlled se
parately. The perturbation dramatically altered the sidebranch structu
re, producing ordered sidebranches of well-defined wavelength, synchro
nous with the perturbation, which were strongly correlated on the two
sides of the dendrite. The dependences of the sidebranch amplitude on
the frequency of the perturbation and on the distance from the dendrit
e tip were compared to the predictions of Barber, Barbieri, and Langer
[Phys. Rev. A 36, 3340 (1987)] and found to be in qualitative agreeme
nt. The value of the selection parameter sigma found from these fits t
o the theory is compared to a value, obtained from material parameters
also determined in this experiment, and to a value deduced from the i
nitial Mullins-Sekerka instability of the planar crystal-melt interfac
e.