The migration of point defects in cubic-type lattices under the action of a force created by interaction of the defect with an applied or internal stress field was analyzed by using a combination of atomistic and continuum theory. Results from jump-rate theory were presented for the effect of the applied force on defect migration, and moment analysis of the macroscale transport equation was used to derive expressions for the drift velocity and the diffusivity tensor that were valid for a dilute population of defects. Both Monte Carlo calculations and closed-form expressions were presented for interstitial diffusion in the presence of a constant force in a square lattice. The force led to anisotropic diffusion that was significant at low temperatures and large forces. The theory was applied to an analysis of the migration of O atoms near to a 60°glide dislocation in silicon.

Analysis of Point-Defect Diffusion and Drift in Cubic-Type Lattices: Constitutive Modeling. D.Maroudas, R.A.Brown: Physical Review B, 1991, 44[6], 2567-81