Kinetic cross coupling between non-conserved and conserved fields in phase field models

Abstract

We present a phase field model for isothermal transformations of two component alloys that includes Onsager kinetic cross coupling between the non-conserved phase field and the conserved concentration field. We also provide the reduction of the phase field model to the corresponding macroscopic description of the free boundary problem. The reduction is given in a general form. Additionally we use an explicit example of a phase field model and check that the reduced macroscopic description, in the range of its applicability, is in excellent agreement with direct phase field simulations. The relevance of the newly introduced terms to solute trapping is also discussed.

References in corpus (6)

• Phase-Field Formulation for Quantitative Modeling of Alloy Solidification
• Quantitative Phase Field Model of Alloy Solidification
• Quantitative phase-field modeling of two-phase solidification
• Sharp interface limits of phase-field models
• Capillary-Wave Model for the Solidification of Dilute Binary Alloys
• Onsager approach to 1D solidification problem and its relation to phase field description

Cited by in corpus (8)

• Lattice Boltzmann simulations of 3D crystal growth: Numerical schemes for a phase-field model with anti-trapping current
• A Phase Field Crystal Study of Solute Trapping
• Interface kinetics in phase field models: isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy
• Achieving realistic interface kinetics in phase field models with a diffusional contrast
• Variational quantitative phase-field modeling of nonisothermal sintering process
• Elimination of surface diffusion in the non-diagonal phase field model
• Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges
• Relation Between Bulk and Interface Descriptions of Alloy Solidification