Solute trapping and the non-equilibrium phase diagram for solidification of binary alloys

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

A phase field model for the solidification of binary alloys is presented and analyzed. A matched asymptotic approach is used to recover the model's leading order sharp interface motion. Equations for both the solute profile and free energy balance at the interface are derived, demonstrating solute trapping at large growth velocities and leading to a construction of the non-equilibrium phase diagram over a large range of growth conditions. A rigorous understanding of the interfacial conditions is provided, and comparisons are made to existing theories.

Original languageEnglish (US)
Pages (from-to)253-270
Number of pages18
JournalPhysica D: Nonlinear Phenomena
Volume151
Issue number2-4
DOIs
StatePublished - May 1 2001
Externally publishedYes

Keywords

  • Binary alloys
  • Phase diagram
  • Phase field models
  • Solute drag
  • Solute trapping

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Solute trapping and the non-equilibrium phase diagram for solidification of binary alloys'. Together they form a unique fingerprint.

  • Cite this