Modeling of Phonon Wind Shielding Effects on Moving Dislocation Arrays

An analytic geometric model of phonon-dislocation interaction is employed to simulate the shielding of phonon wind drag in moving dislocation arrays. In the model, we use assumptions that overestimate the shielding effect to calculate an upper bound for the deviation of drag on arrays from drag on single dislocations. For the system of a one-dimensional array of gliding dislocations in copper, we calculate that 6-25 % of the phonon drag is shielded by neighbor dislocations in the array. The model can be extended to other materials and dislocation distributions, but we show that for typical FCC crystals, calculating drag forces using a single dislocation is still a valid approximation.