A lattice-dynamics approach to the acoustic signal by a uniformly moving dislocation

Abstract

The acoustic signal generated by a uniformly moving edge dislocation is interpreted as the linear response of the crystal to the excitation produced by this motion. The proposed approach is based on the atomistic model of Frenkel and Kontorova, but the rigidity of the substrate is here removed. The expectation value of the atomic displacement induced in the crystal is thus directly evaluated in terms of lattice dynamics via a normal mode expansion. Numerical predictions are presented for several selected dislocation velocities in a specific case. These model calculations could help in interpreting experimental results.