Mathematical model of flux relaxation phenomenon

Abstract

The investigations on the flux relaxation phenomenon of a type-II superconductor are important because they provide the information about the flux pinning ability and current-carrying ability of the superconductor. However, a unified theory of flux relaxation is currently unavailable. Here I present a general mathematical model of the flux relaxation. In this model, I proposed a series expansion to the activation energy and derived a general formula for the current decay behavior. In the light of these formulas, I can analyze the experimental data on the current decay behavior and then calculate the activation energy of a vortex system without subjecting to any special conditions. The results are accurate for the current decay measurements from a $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+x}$ superconductor

References in corpus (6)

• Plastic vortex-creep in YBa${}_2$Cu${}_3$O${}_{7-x}$ crystals
• Magnetization Relaxation and Collective Vortex Pinning in the Fe-Based Superconductor SmFeAsO_0.9F_0.1
• Theory of plastic vortex creep
• Creep of superconducting vortices in the limit of vanishing temperature: A fingerprint of off-equilibrium dynamics
• Critical currents, flux-creep activation energy and potential barriers for the vortex motion from the flux creep experiments
• Quantum vortex tunneling in $YB{a}_{2}C{u}_3{O}_{7-\delta }$ thin films

Cited by in corpus (5)

• Vortex penetration and flux relaxation with arbitrary initial conditions in non-ideal and ideal superconductors
• Mathematical model of vortex penetration phenomenon
• Infinite series models of flux relaxation and vortex penetration constructed at critical points and their unification
• Flux exchange in inhomogeneous type-II superconductors
• Determination of critical current density from arbitrary flux relaxation process