Sine-Gordon Model of Moving Dislocation

Abstract

The motion of dislocations in the periodic Peierls potential is analyzed on the basis of kink-antikink solution of the sine-Gordon equation. It is assumed that the movement of the dislocation climbing the potential peak occurs by bending of a part of the dislocation line toward the potential ridge, formation of double kinks and their propagation to the opposite directions along the dislocation line. Small effects of external stress, friction and random force for the moving dislocation line are calculated by using soliton perturbation theories directly based on the inverse scattering transform.