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We study the properties of a simple lattice model of repulsive particles diffusing in a pinning landscape. The behaviour of the model is very similar to the observed physics of vortices in superconductors. We compare and discuss the equilibrium phase diagram, creep dynamics, Bean critical state profiles, hysteresis of magnetization loops (including the second peak feature) and, in particular, `ageing' in relaxations.
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Nicodemi et al. (2001) studied this question.
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