Coupling between temporal and spatial chaos of vortex state in superconductors with periodical pinning arrays

Vortex motion in the background of many vortices is investigated by a mean field approach. Effects of the vortex–vortex coupling, the driving frequency, and the vortex viscosity on the vortex motion have been studied to reveal the interaction between the spatial and temporal chaos. It is found that the mean-field approach is a good approximation to describe the vortex motion in one dimensional vortex system. The vortex motion under the damping mode is a kind of self-organized motion. The spatial chaos can dominate the chaotic behavior of the system.

► Mean field approach is a good way of dealing with chaos of vortex motion in a background of many vortices.
► The vortex motion under the damping mode is a kind of self-organized motion.
► The spatial chaos can dominate the chaotic behavior of the system.