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INTERFACE AND DEFECT DYNAMICS STUDY VIA THE PHASE
FIELD CRYSTAL MODEL
J. A. Dantzig, N. Goldenfeld and Z. Huang The phase field crystal (PFC) model, recently developed by Elder, Grant and co-workers, provides a means for modeling microstructure development from the atomic scale. Unlike other atomic scale techniques, the PFC model operates at diffusive time scales. This opens up for analysis a wide variety of important problems in materials science. A mathematical reformulation of the PFC model is presented that enables solution of microscale problems with atomic scale resolution, using a combination of renormalization group analysis and adaptive mesh refinement. Examples applications to be described include interaction of vacancies and dislocations in 2-D and 3-D, and the evolution of microstructure drive by grain boundary energy. |
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