Abstract
A general phenomenological theory describing dynamics of Josephson vortices interacting with a variety of linear waves in layered high-Tc superconductors is developed. The theory is based on hydrodynamic long wave approximation and describes the interaction of vortices with electromagnetic, electronic and phonon degrees of freedom on an equal footing. In the limiting cases it can be reduced to simple models considered elsewhere. The proposed model is used for numerical simulation of the resistive state in layered superconductors placed in an external magnetic field. We demonstrate the excitation of electromagnetic modes in layered superconductors by a moving Josephson vortex lattice and the structural phase transitions in the vortex lattice, caused by these modes. We also show that a moving Josephson vortex lattice excites the phonon and mixed modes in layered superconductors and that its dynamics is noticeably complicated by the nonzero charge coupling.
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