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Ternary eutectic dendrites: Pattern formation and scaling properties.
László Rátkai1, Attila Szállás1, Tamás Pusztai1
1Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, P.O. Box 49, H-1525 Budapest, Hungary.
The Journal of Chemical Physics
|April 24, 2015
Summary
This study explores eutectic dendrite formation in ternary systems using phase-field theory. Researchers mapped growth domains and observed morphology transitions with increasing velocity, revealing patterns like spirals and target patterns.
Area of Science:
- Materials Science
- Physics
- Computational Modeling
Background:
- Previous research established foundational understanding of eutectic growth.
- Ternary systems present complex phase behavior crucial for materials development.
Purpose of the Study:
- To investigate the formation and morphology of eutectic dendrites in a model ternary system.
- To map the growth domain of two-phase dendritic structures.
- To analyze the influence of pulling velocity on growth patterns.
Main Methods:
- Phase-field theory simulations were employed.
- Numerical simulations were conducted on a model ternary system.
- Analysis of dendritic growth morphologies and scaling relationships.
Main Results:
- A sequence of morphologies was observed with increasing pulling velocity: lamellae, colonies, dendrites, target patterns, and partitionless structures.
- Two-phase and one-phase dendrites exhibit similar forms and scaling behavior.
- Eutectic patterns include target and spiral patterns, influenced by thermal fluctuations.
- Jackson-Hunt scaling of eutectic wavelength with pulling velocity was confirmed.
- Eutectic wavelength is proportional to the two-phase dendrite tip radius.
- Formation of spiraling two-phase dendrites is difficult in isotropic systems.
Conclusions:
- The study provides a comprehensive map of eutectic dendrite formation in ternary systems.
- Findings align with existing theories on eutectic wavelength scaling but highlight challenges in isotropic systems.
- Thermal fluctuations and kinetic anisotropy play key roles in determining eutectic patterns.
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