过阻尼Josephson结模型中的约束族

IF 1.4 4区数学 Q1 MATHEMATICS

Russian Mathematical Surveys Pub Date : 2021-01-01 DOI:10.1070/RM9982

Yulia P Bibilo, A. Glutsyuk

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引用次数: 1

摘要

1962年Josephson b[8](诺贝尔物理学奖，1973年)预测的隧穿效应涉及由薄介电层隔开的两个超导体的系统。这种现象是这样的:如果电介质足够薄，那么就会有超导电流通过系统(称为约瑟夫森结)，用约瑟夫森方程来描述。在这篇笔记中，我们研究了一个过阻尼约瑟夫森结的模型(见[3]和参考书目)，它是由方程组描述的

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On families of constrictions in the model of an overdamped Josephson junction

The tunnelling effect predicted by Josephson [8] in 1962 (Nobel Prize in Physics, 1973) relates to a system of two superconductors separated by a thin dielectric layer. This phenomenon is as follows: if the dielectric is sufficiently thin, then there is a superconducting current through the system (called a Josephson junction) which is described by Josephson’s equations. In this note we investigate a model of an overdamped Josephson junction (see [3] and the bibliography there), which is described by the family of equations

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来源期刊

Russian Mathematical Surveys 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Mathematical Surveys is a high-prestige journal covering a wide area of mathematics. The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The survey articles on current trends in mathematics are generally written by leading experts in the field at the request of the Editorial Board.