The bifurcation phenomena in the resistive state of the narrow superconducting channels

TL;DR

This paper investigates bifurcation phenomena in the resistive state of narrow superconducting channels using the time-dependent Ginzburg-Landau model, revealing singularities, oscillations, and chaos in current-voltage characteristics.

Contribution

It provides a detailed analysis of bifurcation points and their effects on the resistive state, including analytical estimates and identification of chaotic regimes.

Findings

Bifurcation points cause singularities in the current-voltage characteristic.

Analytical estimates of voltage and oscillation period for small currents.

Identification of current ranges with chaotic behavior.

Abstract

We have investigated the properties of the resistive state of the narrow superconducting channel of the length L/\xi=10.88 on the basis of the time-dependent Ginzburg-Landau model. We have demonstrated that the bifurcation points of the time-dependent Ginzburg-Landau equations cause a number of singularities of the current-voltage characteristic of the channel. We have analytically estimated the averaged voltage and the period of the oscillating solution for the relatively small currents. We have also found the range of currents where the system possesses the chaotic behavior.