Analytical solution of fluxons in a non-homogeneous Josephson junction
Analytical solution of fluxons in a non-homogeneous Josephson junction
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非齐次约瑟夫森结中通量子的解析解
DOI：
10.1080/17455030.2011.652365
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发表时间：
2012
影响因子：
--
通讯作者：
A. Biswas
中科院分区：
文献类型：
--
作者：
A. Gharaati;Najmeh Fathi;S. Johnson;A. Biswas
为了研究约瑟夫森结中的磁通克逊行为，在两个超导体之间插入了一层厚度可变的介质，该介质可以是位置相关的。得到了Sine-Gordon方程的解析解。随后，得到了磁通子的动能和势能之间的关系，以及磁通子速度与介质厚度之间的解析关系。最后，利用ANSATZ方法得到了Sine-Gordon方程在有强扰动和无强扰动的情况下的精确拓扑孤子解。
In order to study the fluxon behavior in a Josephson junction, a dielectric with variable thickness was inserted between two superconductors, which can be position-dependent. An analytical solution of the sine-Gordon equation is obtained. Subsequently, the relation between the kinetic and potential energy of a fluxon is obtained along with the analytic relationships between the velocity of the fluxon and the dielectric thickness. Finally, an exact topological soliton solution is obtained for the sine-Gordon equation with and without strong perturbations through the use of the ansatz method.