Second magnetisation peak relaxation in a model for vortices in superconductors

A simple lattice model of repulsive particles diffusing in a pinning landscape is introduced. It shows many features similar to those observed in the vortex physics of superconductors, such as the reentrant phase diagram, creep dynamics, Bean-like profiles, hysteresis of magnetisation loops with the "second peak". The model is analytically and numerically tractable and offers a schematic framework of magnetic behaviours.