超导约瑟夫森结直流I-V曲线的数值计算  

The numerical calculation of direct current I-V curve of super-conducting Josephon junctions

作　　者：贺庆丽[1] 张军琴[1] 林涛[1] 姚合宝[1] 周引穗[1] 万云[1] 

机构地区：[1]西北大学物理学系,陕西西安710069

出　　处：《西北大学学报（自然科学版）》2003年第1期13-15,22,共4页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省教育厅专项基金资助项目(98JK128)

摘　　要：基于超导约瑟夫森结的RCSJ模型的解析式为一非线性的二阶微分方程,对于该微分方程直接求解析解比较困难,故采用四阶龙格库塔法进行数值计算求解。经反复调用龙格库塔函数可得出约瑟夫森结的I-V曲线。并且,对这一求解过程及其关键部分进行了阐述,数值计算结果定性地解释了实验结果。Because the RCSJ models of superconducting Josephson junctions are nonlinear secondorder equations,it was difficult to give them analysis solutions,so the function is solved by numerical calculation.The IV characteristic of Joseph son junctions was obtained by calling RungeKutta function repeatedly.Corresponding procedure and crucial part were described in detail.Results of numerical calculation explained the result of experimental qualitatively.

关 键 词：超导约瑟夫森结 RCSJ模型 四阶龙格库塔法 数值计算 直流I—V曲线 超导约瑟夫森效应 

分 类 号：O511.4[理学—低温物理]