Elasticity versus phase field driven motion in the phase field crystal model

The inherent inconsistency in identifying the phase field crystal Theory with material mass and, simultaneously, distortion is discussed. In its current implementation, elastic relaxation occurs on a diffusive time scale through dissipative permeation mode. very same that included solid elasticity drives motion, resulting non physical of crystal. We present two alternative theories to remedy this shortcoming. first case, it assumed only determines incompatible part distortion, and therefore one free specify an additional compatible so as satisfy mechanical equilibrium at all times (in quasi static limit). A numerical solution new model for case dislocation dipole shows that, unlike classical model, can account known law relative motion dislocations dipole. origin strain theory remains be specified. Therefore, second presented which explicit coupling between independent accounts dependence fluctuations both. Preliminary details implementation are also given.