Pattern formation in crystal growth under parabolic shear flow II

Details Pattern formation in crystal growth under parabolic shear flow II Pattern formation in crystal growth under parabolic shear flow II

2004-01-28

arxiv.org/abs/cond-mat/0401593v1

Phys. Rev. E. 69, 051604 (2004)

Physics

Condensed Matter

Materials Science

18 pages

Scientific paper

10.1103/PhysRevE.69.051604

Wavy pattern of ice with a specific wavelength occurs during ice growth from a thin layer of undercooled water flowing down the surface of icicles or inclined plane. In the preceding paper [K. Ueno, Phys. Rev. E {\bf 68}, 021603 (2003)], we have found that restoring forces due to gravity and surface tension is a factor for stabilization of morphological instability of the solid-liquid interface. However, the mechanism for the morphological instability and stability of the solid-liquid interface has not been well understood. In the present paper, it is shown that a phase difference between fluctuation of the solid-liquid interface and distribution of heat flux at the deformed solid-liquid interface, which depends on the magnitude of the restoring forces, is a cause of the instability and stability of the interface. This mechanism is completely different from the usual Mullins-Sekerka instability due to diffusion and stabilization due to the Gibbs-Thomson effect.

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