# The Dynamics of Magnetic Vortices in Type II Superconductors with Pinning Sites Studied by the Time Dependent Ginzburg-Landau Model

## TL;DR

This study uses the time-dependent Ginzburg-Landau model to explore how magnetic vortices move and interact with pinning sites in type II superconductors, revealing complex nonlinear dynamics influenced by external fields.

## Contribution

It introduces a simulation-based analysis of vortex dynamics with pinning sites using the Ginzburg-Landau equations, highlighting complex behaviors under external influences.

## Key findings

- Vortices hop between pinning sites under external fields.
- Vortex motion exhibits complex nonlinear behavior.
- External currents significantly affect vortex dynamics.

## Abstract

We investigate the dynamics of magnetic vortices in type II superconductors with normal state pinning sites using the Ginzburg-Landau equations. Simulation results demonstrate hopping of vortices between pinning sites, influenced by external magnetic fields and external currents. The system is highly nonlinear and the vortices show complex nonlinear dynamical behaviour.