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

Abstract

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