Phase Field Crystal Modeling of Non-Equilibrium Structures

Ken Elder

Oakland University, Rochester

The vast majority of biological or inanimate materials are not in equilibrium and contain complex spatial structures on nanometer, micron or millimeter length scales. This is particularly important since these morphologies often determine material properties and function. In this talk I would like to discuss a continuum field (or phase field crystal) approach to modeling the formation of complex non-equilibrium structures. This approach bridges the gap between conventional atomic models and continuum elasticity theory. For illustrative purposes a number of applications will be considered including liquid phase epitaxial growth, order-disorder transitions and soft-elasticity.

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