Related Experiment Video
Updated: May 1, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Scaling theory of two-phase dendritic growth in undercooled ternary melts
Silvère Akamatsu1, Sabine Bottin-Rousseau2, Gabriel Faivre1
1Institut des Nanosciences de Paris, UMR 7588, Sorbonne Universités/UPMC, 4 place Jussieu, 75005 Paris, France and INSP, UMR 7588, CNRS, 4 place Jussieu, 75005 Paris, France.
Abstract:
Two-phase dendrites are needlelike crystals with a eutectic internal structure growing during solidification of ternary alloys. We present a scaling theory of these objects based on Ivantsov's theory of dendritic growth and the Jackson-Hunt theory of eutectic growth. The additional introduction of the relationship ρ∼λ (ρ: dendrite tip radius; λ: eutectic interphase spacing) suggested by recent experimental results [S. Akamatsu et al., Phys. Rev. Lett. 104, 056101 (2010)] leads to a complete solution of theselection problem and to the scaling rule ρ∼λ -1/2 (v: dendrite tip growth rate).
More Related Videos
10:01Thermal Scanning Conductometry TSC as a General Method for Studying and Controlling the Phase Behavior of Conductive Physical Gels
Published on: January 23, 2018
06:26Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
Published on: May 15, 2017
Related Concept Videos
Phase Diagrams of Ternary Systems
Phase Transitions: Melting and Freezing
Solid–Solid Solutions
Phase Transitions: Sublimation and Deposition
Phase Transitions: Vaporization and Condensation
Recrystallization: Solid–Solution Equilibria