Vortex Dynamics Using Molecular Dynamics with Heat Transport and Retarded Vortex-vortex Interaction

Using the molecular dynamics method, we investigate vortex dynamics in a Crobino superconducting disk under an external field. In order to incorporate non-uniform heat generations due to motions of vortices in a Crobino disk and a retarded vortex-vortex interaction due to quasi-particle relaxations, we extend the molecular dynamics method. Vortices move from inner part to outer part due to temperature distribution. When vortices move rapidly, a vortex follows another vortex due to the retarded vortex-vortex interaction.