Explicit temperature coupling in phase-field crystal models of solidification

Abstract

We present a phase-field crystal (PFC) model for solidification that accounts for thermal transport and a temperature-dependent lattice parameter. Elasticity effects are characterized through the continuous elastic field computed from the microscopic density field. We showcase the model capabilities via selected numerical investigations which focus on the prototypical growth of two-dimensional crystals from the melt, resulting in faceted shapes and dendrites. This work sets the grounds for a comprehensive mesoscale model of solidification including thermal expansion.

References in corpus (9)

• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Phase-field Crystals with Elastic Interactions
• Renormalization group theory for the phase field crystal equation
• A coarse-grained phase-field crystal model of plastic motion
• A phase field crystal theory of the kinematics of dislocation lines
• Coarse-grained modeling of crystals by the amplitude expansion of the phase-field crystal model: an overview
• Free energy of the bcc-liquid interface and the Wulff shape as predicted by the Phase-Field Crystal model
• Stress in ordered systems: Ginzburg-Landau type density field theory
• The elastic inclusion problem in the (amplitude) phase field crystal model