Achieving realistic interface kinetics in phase field models with a diffusional contrast

Abstract

Phase field models are powerful tools to tackle free boundary problems. For phase transformations involving diffusion, the evolution of the non conserved phase field is coupled to the evolution of the conserved diffusion field. Introducing the kinetic cross coupling between these two fields [E. A. Brener, G. Boussinot, Phys. Rev. E {\bf 86}, 060601(R) (2012)], we solve the long-standing problem of a realistic description of interface kinetics when a diffusional contrast between the phases is taken into account. Using the case of the solidification of a pure substance, we show how to eliminate the temperature jump at the interface and to recover full equilibrium boundary conditions. We confirm our results by numerical simulations.

References in corpus (3)

• Kinetic cross coupling between non-conserved and conserved fields in phase field models
• Interface kinetics in phase field models: isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy
• Onsager approach to 1D solidification problem and its relation to phase field description

Cited by in corpus (4)

• Microstructural Pattern Formation during Far-from-Equilibrium Alloy Solidification
• Variational quantitative phase-field modeling of nonisothermal sintering process
• Phase-field model of alloy solidification far from chemical equilibrium at the solid-liquid interface
• Elimination of surface diffusion in the non-diagonal phase field model