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Periodic layer formation in the growth of dilute binary alloys

Authors
Journal
Physica A Statistical Mechanics and its Applications
0378-4371
Publisher
Elsevier
Publication Date
Volume
413
Identifiers
DOI: 10.1016/j.physa.2014.06.029
Keywords
  • Crystal Growth
  • Rapid Solidification
  • Banded Structures
  • Striation
  • Phase-Field Model
  • Capillary-Wave Model

Abstract

Abstract The oscillatory growth of a dilute binary alloy in rapid directional solidification has recently been described by a nonlinear oscillator equation, assuming a uniform diffusion constant of the solute component in both phases. In a more realistic model with a vanishing diffusion coefficient in the solid phase this leads to the formation of durable layers of alternating solute concentrations. Due to the Mullins–Sekerka instability, the high-concentration layers commonly feature a dendritic microstructure. We conjecture that the mechanism behind this so-called banded-structure effect also applies to some of the quite independently discussed striation phenomena in a large number of general crystal-growth processes.

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