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arXiv · 1001.0671

Surface losses and self-pumping effects in a long Josephson junction - a semi-analytical approach

Marek Jaworski
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Abstract

The flux-flow dynamics in a long Josephson junction is studied both analytically and numerically. A realistic model of the junction is considered by taking into account a nonuniform current distribution, surface losses and self-pumping effects. An approximate analytical solution of the modified sine-Gordon equation is derived in the form of a unidirectional dense fluxon train accompanied by two oppositely directed plasma waves. Next, some macroscopic time-averaged quantities are calculated making possible to evaluate the current-voltage characteristic of the junction. The results obtained by the present method are compared with direct numerical simulations both for the current-voltage characteristics and for the loss factor modulated spatially due to the self-pumping. The comparison shows very good agreement for typical junction parameters but indicates also some limitations of the method.

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Marek Jaworski. 2010-01-05. Surface losses and self-pumping effects in a long Josephson junction - a semi-analytical approach. https://doi.org/10.1103/physrevb.81.224517

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