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alloy amplitude ampul approximation assumed Austerman beam divergence binary carbon cellular cm sec concentration constant continuum mechanics convection Coriell Crystal Growth crystals of graphite curve dendrite crystal dendritic density diffusion coefficient dimensionless dislocations effect epitaxial equations equilibrium etching exchange of stabilities experimental Fe-C finite flow fluid flux function GaAs graphite crystals gravity grown growth of graphite growth rate heat hence identical stability instability integrated optical circuit integrated optics iodine laser layer linear stability linear theory marginal stability melting problem Minkoff morphology natural convection Ni-C Nondimensionalized nucleation observed obtained parameters perturbation Phys planar interface solution plane Q plane region rotation boundary screw dislocation secular equation Segel Sekerka shows solid solidification problem spherulitic stability analysis stoichiometric coefficient structure supercooling surface techniques temperature gradient theoretical thermal tion total pressure transport Tzuzuku undercooling vapor waveguide Wiedemeier Wollkind