Vortex relaxation for the surface barrier in 3D type-II superconductor

3차원 제2종 초전도체의 표면장벽에 대한 자속의 이완

We report the activation energies which is calculated by adding a term being neglected usually, and magnetic relaxation effects for the surface barrier. The activation energies U at initial magnetization m (m$_{en}$ and m$_{ex}$) and equilibrium magnetization m$_{eq}$ are nearly similar to those of Burlachkov, but the m dependence of the activation energy U is remarkably different. The relaxation effects, which were determined by the m dependence of the activation energies U, are nonlinear for vortex entry, but linear at the initial stage and nonlinear at m(Int) ${\simeq}$ m$_{eq}$ for vortex exit. During relaxation process, the vortex entry at m = m$_{en}$ is faster than the vortex exit at m = m$_{ex}$ by about factor 90. The vortex exit at m = m$_{eq}$ is faster than one at m = m$_{ex}$ by about factor 1.3