Scaling Theory of Two-Phase Dendritic Growth in Undercooled Ternary Melts

被引：26

作者：

Akamatsu, Silvere ^{[1
,2
]}

Bottin-Rousseau, Sabine ^{[1
]}

Faivre, Gabriel ^{[1
,2
]}

Brener, Efim A. ^{[3
]}

机构：

[1] Sorbonne Univ UPMC, Inst Nanosci Paris, UMR 7588, F-75005 Paris, France

[2] CNRS, UMR 7588, INSP, F-75005 Paris, France

[3] Forschungszentrum Julich, Peter Grunberg Inst, D-52425 Julich, Germany

来源：

PHYSICAL REVIEW LETTERS | 2014年 / 112卷 / 10期

关键词：

DIRECTIONAL SOLIDIFICATION; PATTERN SELECTION; EUTECTIC GROWTH; LAMELLAR; ALLOY; STABILITY; CRYSTALS; FINGERS; BINARY;

D O I：

10.1103/PhysRevLett.112.105502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 rho similar to lambda (rho: dendrite tip radius; lambda: eutectic interphase spacing) suggested by recent experimental results [S. Akamatsu et al., Phys. Rev. Lett. 104, 056101 (2010)] leads to a complete solution of the selection problem and to the scaling rule rho similar to nu(-1/2) (nu: dendrite tip growth rate).

引用

页数：5

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