Eur. Phys. J. B 31, 343-348 (2003)
https://doi.org/10.1140/epjb/e2003-00040-8

On the stability of the critical state with inhomogeneous temperature in composite superconductors

Theoretical Physics Department, Scientific Research Institute for Applied Physics, National University of Uzbekistan, Tashkent, 700174, Uzbekistan

Corresponding author: ^a taylanov@iaph.tkt.uz

Received: 11 October 2001
Revised: 30 November 2002
Published online: 14 February 2003

Abstract

The problem of the thermal and magnetic destruction of the critical state in composite superconductors is investigated. The initial distributions of temperature and electromagnetic field are assumed to be essentially inhomogeneous. The limit of the thermomagnetic instability in quasi-stationary approximation is determined. The obtained integral criterion, unlike the analogous criterion for a homogeneous temperature profile, is shown to take into account the influence of any part of the superconductor on the threshold for critical-state instability.