The growth stability of a needlelike dendrite
Abstract
The stability of the stationary growth of a needlelike two-dimensional dendrite is studied in the limit of the weak surface energy anisotropy. The discrete spectrum of the unstable modes describing the splitting of the dendrite tip is found. The only stable solution among the set of stationary solutions is that corresponding to a maximal growth rate. Solutions with lower growth rates possess unstable modes whose number increases with decreasing growth rate.
- Publication:
-
Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
- Pub Date:
- December 1988
- Bibcode:
- 1988ZhETF..94..320B
- Keywords:
-
- Dendritic Crystals;
- Melts (Crystal Growth);
- Steady State;
- Anisotropic Media;
- Equations Of Motion;
- Surface Energy;
- Temperature Distribution;
- Solid-State Physics