Phonon generation and energy localization by moving edge dislocations

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Abstract
The presence of a moving dislocation represents a significant perturbation of a crystalline lattice. Here we present a quantum-mechanical account of the phonon field created by a moving edge dislocation. It is shown that the phonon energy is locally concentrated about the crystalline slip planes, indicating the existence of localized hot spots. The existence of a compressive wave composed of coherent longitudinal phonons is predicted and is shown to be due to the motion of the extra half-plane of molecules associated with an edge dislocation. The phonon energy spectrum is obtained and shown to be non-Boltzmann. Finally, approximate energy densities and equilibrium temperatures are calculated for a number of representative materials.

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