Analytic solution for fluxons in a long Josephson junction with surface losses
S. Sakai, N. F. Pedersen
DOI 10.1103/PhysRevB.34.3506 · Physical Review B
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Abstract
Analytic solutions for a fluxon in a long Josephson junction in the presence of surface losses (β term) as well as shunt losses (α term) are obtained by assuming a triangular current-phase relation. This theoretical result provides exact information on fluxon properties (e.g., the line shape, velocity, etc.), independent of the magnitude of α and β. We find that if β is smaller than a critical value, the fluxon behavior is similar to that of the β=0 case, but if β is larger, quite different behavior is observed, particularly in the high-velocity region.
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