title: Solute trapping in rapid solidification of a binary dilute system: a phase-field study.
abstract: The phase-field model of Echebarria, Folch, Karma, and Plapp [Phys. Rev. E 70, 061604 (2004)] is extended to the case of rapid solidification in which local nonequilibrium phenomena occur in the bulk phases and within the diffuse solid-liquid interface. Such an extension leads to the fully hyperbolic system of equations given by the atomic diffusion equation and the phase-field equation of motion. This model is applied to the problem of solute trapping, which is accompanied by the entrapment of solute atoms beyond chemical equilibrium by a rapidly moving interface. The model predicts the beginning of complete solute trapping and diffusionless solidification at a finite solidification velocity equal to the diffusion speed in bulk liquid.
authors.affiliation: Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt, D-51170 Köln, Germany. peter.galenko@dlr.de
authors.forename: P K
authors.initials: PK
authors.lastname: Galenko
authors.forename: E V
authors.initials: EV
authors.lastname: Abramova
authors.forename: D
authors.initials: D
authors.lastname: Jou
authors.forename: D A
authors.initials: DA
authors.lastname: Danilov
authors.forename: V G
authors.initials: VG
authors.lastname: Lebedev
authors.forename: D M
authors.initials: DM
authors.lastname: Herlach