Abstract
We study the paramagnetic Meissner effect in a network of Josephson junctions which include a random distribution of \ensuremath{\pi} junctions. We perform dynamical Langevin simulations for the field cooling (FC) and zero-field cooling (ZFC) susceptibilities. We show that while the ZFC susceptibility is diamagnetic and of the order of -1/4\ensuremath{\pi}, the FC susceptivility can be paramagnetic for a finite concentration of \ensuremath{\pi} junctions. The field and concentration dependence of the FC susceptibility is studied. The model presents some glassy properties and the results are in good qualitative agreement with recent experiments in ceramic Bi compounds.
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