THE DYNAMICS OF THERMOMAGNETIC INSTABILITIES IN SUPERCONDUCTORS

Abstract

In this work, the spatial and temporal distributions of small thermal and electromagnetic perturbations in a plane semi-infinite superconducting sample are studied. Based on a system of equations for temperature, magnetic induction, and vortex motion, a dispersion relation was obtained that determines the growth (or decay) increment of small perturbations. It was shown that, under certain conditions, depending on the values of the parameters of the system, flux jumps of the magnetic flux is observed. On the other hand, the phenomenon of magnetic flux oscillations - the oscillation of vortex matter as a result of thermomagnetic instability of the critical state in a superconductor is theoretically investigated. The spatial and temporal distributions of small thermal and electromagnetic perturbations in a plane semi-infinite superconducting sample are studied. Based on the system of equations for temperature, magnetic induction, and vortex motion, a dispersion relation was obtained that determines the growth (or decay) increment of small perturbations. It was shown that, under certain conditions, depending on the values of the parameters of the system, jumps - oscillations of the magnetic flux can be observed.