Abstract
Abstract In the present work, dynamics of vortex structure in the type-II superconductors with defects under a transport current has been studied using the time dependent Ginzburg-Landau equations. The vortex interactions with the pining centers in two-dimensional cases have been investigated. The model has been solved using ψ U -method and finite element method. The defects are normal regions and it size was greater-than through influence of proximity effect. In our simulation, we have considered that using model agree well for description of vortices behavior in inhomogeneous sample under a transport current. We have considered defects influence and relative position on dynamics of vortices. Also we have calculated the values of critical current density at various configuration of sample.
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