title: Microscopic treatment of solute trapping and drag.
abstract: The long wavelength limit of a recent microscopic phase-field crystal (PFC) theory of a binary alloy mixture is used to derive an analytical approximation for the segregation coefficient as a function of the interface velocity, and relate it to the two-point correlation function of the liquid and the thermodynamic properties of solid and liquid phases. Our results offer the first analytical derivation of solute segregation from a microscopic model, and support recent molecular dynamics and numerical PFC simulations. Our results also provide an independent framework, motivated from classical density functional theory, from which to elucidate the fundamental nature of solute drag, which is still highly contested in the literature.
authors: Department of Physics, Centre for the Physics of Materials, McGill University, Montreal, QC, Canada.|Department of Materials Science and Engineering, McMaster University, Hamilton, Ontario.
authors: Harith
authors: H
authors: Humadi
authors: Department of Materials Science and Engineering, McMaster University, Hamilton, Ontario.
authors: J J
authors: JJ
authors: Hoyt
authors: Department of Physics, Centre for the Physics of Materials, McGill University, Montreal, QC, Canada.
authors: Nikolas
authors: N
authors: Provatas