We derive a strongly nonlinear evolution equation for the interface of a directionally solidified binary alloy when surface energies are large. This equation includes interfacial acceleration and the nonlinear effects of surface tension. Bifurcation analysis on this equation reveals that planar interfaces immediately develop three-dimensional structure, and, when the segregation coefficient is near unity, stable hexagonal solutions are found.
ASJC Scopus subject areas
- Condensed Matter Physics