ABSTRACT

The response of a crystal containing dislocations subject to restoring forces and viscous drag is non Debye-like. This is true even for the simple case of uniformly distributed discrete restoring forces with continuous viscous drag. The behavior can, however, be well approximated in this case by a Debye-like response, which facilitates discussion and analysis of experimental results in terms of externally controlled parameters. More realistic models require distributions of restoring or viscous forces, for which the deviation from Debye behavior is greater. The response can still be approximated as Debye-like, but in several different ways. These approximations are exact for certain ranges, with the prefered approximation depending upon the range of the parameters examined.