A phase field model for small and large driving forces on solidification and melting of a pure
metal or binary alloy is formulated. A traveling wave solution of the phase field equation …

Dynamic evolution of initial instability is investigated by an analytic model obtained by
modifying the theory of Warren and Langer [Phys. Rev. E 47, 2702 (1993) PLEEE8 1063 …

We developed a phase-field model for solidification of binary alloys, accounting for thermal
effects due to the release of latent heat at the solid-liquid interface. The model is utilized to …

Solidification of binary alloys is characterized by the necessity to reject away from the
advancing front two conserved quantities: the latent heat released at the solid-liquid …

The rapid solidification of a binary alloy, directed by a moving temperature field, is studied
with the phase-field model. Unlike previous findings solute segregation at the interface can …

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 …

An effective mobility for non-equilibrium solute diffusion is introduced to develop a
hyperbolic phase-field model of rapid solidification in which long-range solute diffusion and …

A revised study of the growth and melting of crystals in congruently melting Al 50 Ni 50 alloy
is carried out by molecular dynamics (MDs) and phase field (PF) methods. An embedded …

The results of molecular dynamics (MD) simulations of the crystallization process in one-
component materials and solid solution alloys reveal a complex temperature dependence of …

We present the results of nonequilibrium molecular dynamics simulations for the growth of a
solid binary alloy from its liquid phase. The regime of high pulling velocities V, for which …