Origin of sidebranching in dendritic growth
Journal Article
·
· Phys. Rev. A; (United States)
We present mechanisms for sidebranch generation in dendritic growth, stressing the importance of nonlinear effects. One such mechanism, which we call solvability-induced sidebranching, relies on the fact that the steady states form a discrete family. In addition, time-dependent simulations of crystal growth in the boundary-layer model are performed. We find that there is a critical value of the anisotropy strength below which the needle crystals are linearly unstable to tip splitting; above this value, the needle crystals have a finite-amplitude instability.
- Research Organization:
- Loomis Laboratory of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801 and Materials Research Laboratory, University of Illinois at Urbana-Champaign, 104 South Goodwin Avenue, Urbana, Illinois 61801
- OSTI ID:
- 6816257
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 35:3; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
Similar Records
On the kinetics of dendritic sidebranching: A three dimensional phase field study
Orientation Dependence of Columnar Dendritic Growth with Sidebranching Behaviors in Directional Solidification: Insights from Phase-Field Simulations
Stability of dendritic crystals
Journal Article
·
Thu Apr 28 00:00:00 EDT 2016
· Journal of Applied Physics
·
OSTI ID:22594649
Orientation Dependence of Columnar Dendritic Growth with Sidebranching Behaviors in Directional Solidification: Insights from Phase-Field Simulations
Journal Article
·
Wed Aug 15 00:00:00 EDT 2018
· Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science
·
OSTI ID:22857908
Stability of dendritic crystals
Journal Article
·
Sun Dec 14 23:00:00 EST 1986
· Phys. Rev. Lett.; (United States)
·
OSTI ID:7016083