Collective vibrations of a lattice of screw dislocations as an example of the dynamics of an acoustic superlattice

Equations for small oscillations of a dislocation lattice are formulated in a simple one-component model. The lattice is formed by a periodic system of parallel rectilinear screw dislocations. Long-wavelength collective vibrations are described, among which are found vibrations similar to plasma oscillations in a system of electric charges. The possibility of a gap appearing in the frequency spectrum near the analog of the plasma frequency is pointed out.