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Kinetic transition in the order-disorder transformation at a solid/liquid interface.

P K Galenko1, I G Nizovtseva1,2, K Reuther1

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Summary

This study analyzes the kinetic transition during ordered crystal growth from undercooled liquids. It defines critical undercoolings affecting growth velocity and order, revealing similarities and differences with non-equilibrium effects like solute trapping.

Keywords:
diffuse interfacedisorder trappingkinetic phase transitionlong-range order parameterordering crystal

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Area of Science:

  • Materials Science
  • Solid State Physics
  • Crystallography

Background:

  • Understanding kinetic transitions in crystal growth is crucial for materials science.
  • Ordered crystal structures exhibit complex growth dynamics influenced by undercooling and atomic diffusion.
  • Non-equilibrium phenomena like solute and disorder trapping significantly impact crystal growth velocity and structure.

Purpose of the Study:

  • To perform a phase-field analysis of the kinetic transition in ordered crystal growth from an undercooled liquid.
  • To interpret results using analytical and numerical solutions for phase field dynamics, order parameter, and atomic diffusion.
  • To define critical undercoolings for changes in growth velocity and long-range order parameter in binary alloys.

Main Methods:

  • Phase-field modeling to simulate crystal growth dynamics.
  • Analytical and numerical solutions of governing equations for phase field, order parameter, and diffusion.
  • Case study of a binary A50B50 crystal growth.

Main Results:

  • Defined critical undercoolings for characteristic changes in growth velocity and long-range order parameter.
  • Identified analogies and differences with non-equilibrium effects (solute trapping, disorder trapping) for rapidly growing crystals.
  • Qualitative comparison of model predictions with Chernov's kinetic phase transition theory and experimental data for alloy solidification.

Conclusions:

  • The phase-field model provides insights into kinetic transitions during ordered crystal growth.
  • Results offer a framework for understanding non-equilibrium effects in crystal solidification.
  • The study validates model predictions against established theories and experimental observations.