Phase-field crystal modeling and classical density functional theory of freezing

By K. Elder, N. Provatas, Joel M. Berry, P. Stefanovic, Martin Grant. 2007

459 citations recorded by the source corpus.

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An introduction to phase-field modeling of microstructure evolution (2008, unknown): “Very recently a new continuum modeling approach, the phase-field crystal model, was introduced [200–202].”
Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview (2012, methodology): “Assuming, furthermore, a constant effective mobility Me = 2M/ρ 2 and conserved dynamics, the equations of motions for the two fields have the form [26]”
Grain boundary segregation engineering in metallic alloys: A pathway to the design of interfaces (2014, unknown): “While density functional theory is not an adequate method for such trend screens owing to the requirement of using periodic boundary conditions and small simulation cells, the phase field crystal model might be suited to systematically tackle such a task [132,133].”
The phase field technique for modeling multiphase materials (2008, background): “A systematic derivation of the sharp and thin interface limits of phase field models with general free energy functions was discussed by Elder et al [77].”
Classical dynamical density functional theory: from fundamentals to applications (2020, methodology): “On the other hand, DDFT has influenced the development of other theories such as phase field crystal (PFC) models [44,135,136,629,630].”