The set of non-linear differential equations which describes the kink chain oscillating in an atmosphere of continuously distributed paraelastic (interstitials) or isotropic defects and, in addition, decorated by a dragging point defect at the midpoint, is solved numerically after introducing a novel scaling and re-normalization procedure. The internal friction coefficient obtained indicates the existence of two separate peaks, the decoration peak and the parent peak, which are directly related to the selectively localized point defect dragging and the smeared –out paraelastic or isotropic defects atmosphere, respectively.
In addition a new and more sophisticated theory is presented by the mathematical modeling of an interactive and completely coupled systems of dislocations and mobile point defects, such as that the computer simulation of which yields extremely accurate prediction of experimental spectral data in terms of Induced Cottrell Relaxation (ICR) and its gradual conversion into a Cottrell-Koster Relaxation (CKR) peak at high concentrations of spherical point defect. An allowance also has been made to take into account the bulk segregation of point defects to the kinked- dislocation line that results excellent computer animation of aging, peaking and finally the stabilization behaviour of dislocation damping peaks.
Keywords: Internal Friction, Dislocation Damping, Computer Simulation, Snoek-Koster-Peaks.