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