Abstract
We study the selection of the shape and growth velocity of three-dimensional dendritic crystals in cubically anisotropic materials. We demonstrate that aside from minor additional complexities due to the lack of axisymmetry, the recently discovered mechanism of "microscopic solvability" can be extended to these systems and used to find a unique needle-crystal solution of the equations of thermal diffusion-controlled solidification. For 1% crystal anisotropy our calculation yields a dimensionless growth rate 0=*p2, for Peclet number p, with *=0.0195.
| Original language | English |
|---|---|
| Pages (from-to) | 4123-4126 |
| Number of pages | 4 |
| Journal | Physical Review A |
| Volume | 36 |
| Issue number | 8 |
| DOIs | |
| State | Published - 1987 |
| Externally published | Yes |