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"Linear and nonlinear vibrations in vortex lattices"

V.Yu. Zaburdaev, V.V. Smirnov, K.V. Chukbar    (Kurchatov's Institute)

Abstract:

Evolution of “long-wave” perturbations in different regular lattices of different (i.e. with different flow functions) 2-d vortices is considered. Particular emphasis has been placed on qualitative distinctions from phonons in usual crystals: high sensitivity  to the lattice symmetry, specific degeneration of the dispersion, coupling between deformation of compression and shear, pseudo non-Hamiltonian of nonlinear evolution, possibility of explosive increasing of deformations etc.