Collective Coordinate Method for Classical Dynamics of Nonlinear Klein-Gordon Kinks

摘要

A collective coordinate method is used to study the motion of a nonliear Klein-Gordon (NKG) kink in the presence of a weak, localized perturbation. An equation of motion is derived for the kink ''center of mass'' position which includes the effects of phonons. A perturbation expansion of these equations shows that through second order, no extended phonons are generated by the ''collision'' of the kink with a static perturbation. As a consequence, the kink recovers its initial velocity after passing through the perturbation region. 11 refs., 3 figs. (ERA citation 12:010168)