Hysteresis in the behavior of a long modulated Josephson junction in a magnetic field for small values of the pinning parameter
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The magnetization curve for a long periodically modulated Josephson junction is calculated using the approach based on analysis of the continuous change in the configuration in the direction of the decrease in the Gibbs potential upon cyclic variation of the external magnetic field for small values of the pinning parameter. It is shown that for any turning points, the hysteresis loop is a part of a certain universal curve exhibiting strict periodicity along both axes. The existence of the universal curve and its periodicity are explained on the basis of analysis of vortex configurations.
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