Thermo-Density Coupling in PFC Type Models for the Study of Rapid Crystallization

Abstract

We self-consistently derive a formalism that couples a Phase Field Crystal (PFC) density field to thermal transport. It yields a theory for non-uniform transient temperature and density evolution, and includes local latent heat release during atomic rearrangements of the PFC density field. The basic formalism is applied to the basic PFC model, demonstrating the approach's capacity to capture solidification and recalescence. With an aim towards linking physical temperature to PFC temperature, a new classical density field theory for solid/liquid/vapor systems is then derived. It presents a different approach to those traditionally used in the PFC literature while still retaining the major advantages that have become the hallmark of PFC modelling. The new model is based entirely on physical density and temperature scales. We end the paper by applying the thermal-density coupling formalism to this new multi-phase density functional theory/PFC model.

arXiv comment14 pages, 10 figures

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Cited by in corpus (5)

• Classical dynamical density functional theory: from fundamentals to applications
• Multiscale analysis of crystal defect formation in rapid solidification of pure aluminium and aluminium-copper alloys
• Minimal phase-field crystal modeling of vapor-liquid-solid coexistence and transitions
• A Non-Isothermal Phase-Field Crystal Model with Lattice Expansion: Analysis and Benchmarks
• Explicit temperature coupling in phase-field crystal models of solidification