Abstract
We perform the linear-stability analysis in the boundary-layer model of dendritic solidification using both the direct matrix-diagonalization method and the differential-equation integration method. The fastest needle-crystal steady state is found to be linearly stable for nonzero anisotropy; successively slower needle crystals have successively more unstable modes. This result agrees with those previously obtained on other models.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 407-417 |
| Number of pages | 11 |
| Journal | Physical Review A |
| Volume | 38 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1988 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics