Abstract: In this paper, the dynamics of vortices in superconductors is investigated by analytical model and numerical simulation. Firstly, the vortex dynamics model is established, and the analytical solution is obtained and plotted. Then, on this basis, the interaction force of vortices is considered, and the influence of Lorentz force, cycle length and number of vortices on the overall motion effect of vortices is explored by MATLAB numerical simulation combined with Newton method. Finally, the Ornstein-Uhlenbeck process is used to simulate the thermal noise, and the numerical solution of Langevin equation is obtained by Splitting method and the velocity-period image is drawn, so as to realize the simple simulation of vortex dynamics in superconductor.

Key words:  superconductor, vortices motion, numerical simulation