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Surface losses and self-pumping effects in a long Josephson junction: A semianalytical approach

机译:长约瑟夫森结中的表面损失和自抽效应:一种半解析方法

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摘要

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.
机译:解析和数值研究了长约瑟夫森结中的通量流动力学。通过考虑不均匀的电流分布,表面损耗和自抽效应,可以考虑结点的实际模型。修正的正弦-戈登方程的近似解析解以单向密集磁通列的形式,伴随着两个相反方向的等离子波的形式导出。接下来,计算一些宏观时间平均量,从而可以评估结的电流-电压特性。通过本方法获得的结果与直接数值模拟相比较,既有电流-电压特性,又有因自抽而在空间上调制的损耗因子。比较结果显示典型结参数非常吻合,但也表明该方法存在一些局限性。

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