We have studied the thermally activated flux-flow resistance in YBa2Cu307/PrBa2Cu307 (YBCO/PrBCO) artificial superlattices in magnetic fields perpendicular to the a-b plane. We find for multilayers with thick enough (> 24 A) insulating PrBCO layers and for YBCO thicknesses smaller than 300 A that the activation energy has a logarithmic magnetic-field dependence and that it is proportional to the YBCO thickness in the multilayer.
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