Numerical-Analytical Method for Computing the Current-Voltage Characteristics for a Stack of Josephson Junctions

被引：0
|
作者：
Serdyukova, S. I. [1 ]
机构：
[1] Joint Inst Nucl Res, Dubna 141980, Moscow Oblast, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 11期
关键词：
stack of Josephson junctions; computation of current-voltage characteristics; hysteresis loop; Cauchy problem for a system of nonlinear differential equations; fourth-order Runge-Kutta method; computation of formulas with the use of the REDUCE 3.8 system;
D O I：
10.1134/S0965542512110115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical-analytical method was proposed for analyzing dynamic processes in stacks of Josephson junctions. The Cauchy problem for a system of n nonlinear differential equations was solved. Formal "approximate solutions" at long times were constructed. The results based on these solutions agree with numerical results up to a small neighborhood of a critical point where the voltage drops rapidly to zero. The numerical-analytical method was tested by computing the hysteresis loop for stacks of 9 and 19 Josephson junctions of various structures. Good agreement was found with numerical results. Moreover, the computation time was reduced by more than five times. DOI: 10.1134/S0965542512110115
引用
收藏
页码：1590 / 1596
页数：7
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