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The dependence of sheet impedance of a Josephson junction array on theapplied magnetic field is investigated in the regime when vortex diffusionbetween array plaquettes is effectively frozen due to low enough temperature.The field dependent contribution to sheet inductance is found to beproportional to f*ln(1/f), where f<<1 is the magnitude of the field expressedin terms of flux quanta per plaquette.Comment: 5 pages, no figure

Magnetoinductance of Josephson junction array with frozen vortex diffusion