Abstract
In order to understand the dynamics of pattern selection and sidebranch emission in dendritic (snowflake) growth, we develop a simplified local model for this process. Guided by the phenomenology and mathematics of heat-diffusion controlled growth, we construct a local evolution equation for the solid boundary, and show that it grows snowflake-like shapes and exhibits most of the relevant qualitative features. We find that repeated sidebranching requires a critical amount of crystalline anisotropy, that the growth rate of dendrites is determined by a global solvability conditions, and that the sidebranch behavior is related to a discrete oscillatory mode about the selected velocity solution.
| Original language | English |
|---|---|
| Pages (from-to) | 507-520 |
| Number of pages | 14 |
| Journal | PCH. Physicochemical hydrodynamics |
| Volume | 6 |
| Issue number | 5-6 |
| State | Published - 1984 |
| Externally published | Yes |
| Event | Physicochem Hydrodyn, 5th Int Conf - Tel Aviv, Isr Duration: 16 Dec 1984 → 21 Dec 1984 |