Elastic fields in superconductors caused by moving vortices

TL;DR

This paper investigates how moving vortices in superconductors induce elastic strains, affecting energy storage and stress fields, with implications for vortex dynamics at various velocities.

Contribution

It introduces a detailed analysis of elastic strain energy and stress fields caused by moving vortices, including velocity-dependent effects and shock wave-like phenomena.

Findings

Elastic energy increases with vortex velocity.

Elastic energy depends on velocity orientation relative to the vortex lattice.

Supersonic vortex motion produces shock wave-like stress fields.

Abstract

Strains in superconductors due to moving vortices and vortex lattices are discussed. It is shown that the energy stored in elastic strains increases with vortex velocity. For moving vortex lattices, the elastic energy depends on velocity orientation relative to the lattice having minimum for the velocity directed along one of the unit cell vectors of the moving lattice. It is shown that for supersonic motion, the vortex induced stress field has a shape similar to supersonic shock waves.