Mathematical model of vortex penetration phenomenon

Abstract

Vortex penetration affects the stability of a superconducting system and limits the possible application of the system. However, the mathematical description to this phenomenon is currently unavailable. Here I present a mathematical model in which I consider the effects of bulk pinning and internal field repulsive force on vortex hopping. Thereafter, I proposed a series expansion to the activation energy and derived a general formula for describing the time dependence of the vortex penetration process. With these formulas, I can analyze the experimental data and calculate the activation energy of the vortex penetration phenomenon. The results are accurate for the time dependence of the internal field measurements in a $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+x}$ superconductor.

5 pages, 1 figure

References in corpus (7)

• Real time magneto-optical imaging of vortices in superconductors
• Dynamics of vortex penetration, jumpwise instabilities and nonlinear surface resistance of type-II superconductors in strong rf fields
• Field-Dependent Critical Current in Type-II Superconducting Strips: Combined Effect of Bulk Pinning and Geometrical Edge Barrier
• Vortex Penetration in Magneto-Superconducting Heterostructures
• Variational approach to vortex penetration and vortex interaction
• Mathematical model of flux relaxation phenomenon
• Vortex Penetration into a Type II Superconductor due to a Mesoscopic External Current

Cited by in corpus (2)

• Vortex penetration and flux relaxation with arbitrary initial conditions in non-ideal and ideal superconductors
• Infinite series models of flux relaxation and vortex penetration constructed at critical points and their unification