Journal Article FZJ-2014-06815

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

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2014
APS College Park, Md.

Physical review letters 112(10), 105502 () [10.1103/PhysRevLett.112.105502]

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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 [, Phys. Rev. Lett. 104, 056101 (2010)] leads to a complete solution of the selection problem and to the scaling rule ρ∼v−1/2 (v: dendrite tip growth rate).

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Contributing Institute(s):
  1. Theoretische Nanoelektronik (PGI-2)
Research Program(s):
  1. 424 - Exploratory materials and phenomena (POF2-424) (POF2-424)

Appears in the scientific report 2014
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