Abstract
We study the stability of a solid-liquid interface in a hypercooled melt, taking into account attachment kinetics, surface energy, and surface energy in the heat balance. There is a basic-state solution with the planar interface moving at constant speed. Linear-stability theory gives a long-wave absolute-stability limit. Near this point we introduce a string model in which we use a thermal-boundary-layer approximation and obtain an evolution equation for the interface. In a limiting case this interface equation reduces to a Kuromoto-Sivashinsky equation. Comparison with experimental and numerical results are discussed and a conceptual picture of unconstrained growth for all undercoolings is addressed.
Original language | English (US) |
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Pages (from-to) | 7195-7201 |
Number of pages | 7 |
Journal | Physical Review A |
Volume | 45 |
Issue number | 10 |
DOIs | |
State | Published - 1992 |
Externally published | Yes |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics