An analytical solution for the Peierls pinning energy in the discrete Frenkel-Kontorova model was used to obtain estimates of the second-order Peierls stress, which controlled dislocation kink motion. On the basis of the Dorn-Rajnak model, the kink migration energy was shown to be the Peierls pinning energy in the Frenkel-Kontorova model. The parameters which were required were related to features of the generalized stacking fault surface.

Dislocation Kink Migration Energies and the Frenkel-Kontorova Model. B.Joós, M.S.Duesbery: Physical Review B, 1997, 55[17], 11161-6