Phase slip phenomena in superconductors: from ordered to chaotic dynamics

TL;DR

This paper investigates how flux penetration in a 2D superconductor transitions from deterministic to stochastic behavior as the magnetic field strength increases, revealing that inhomogeneities can reduce stochasticity due to vortex dynamics.

Contribution

It demonstrates the transition from ordered to chaotic flux dynamics in superconductors and highlights the role of inhomogeneities in influencing stochastic behavior.

Findings

Low field flux penetration is deterministic.

High field flux penetration becomes stochastic.

Inhomogeneities reduce stochasticity through vortex effects.

Abstract

We consider flux penetration to a 2D superconducting cylinder. We show that in the low field limit the kinetics is deterministic. In the strong field limit the dynamics becomes stochastic. Surprisingly the inhomogeneity in the cylinder reduces the level of stochasticity because of the predominance of Kelvin-Helmholtz vortices.