Superconducting-normal interface propagation speed in superconducting thin films

TL;DR

This paper introduces a variational method to determine the interface propagation speed in superconducting thin films, aligning with numerical simulations and incorporating delay effects through hyperbolic differential equations.

Contribution

A novel variational approach for calculating interface propagation speed in superconductors that accounts for delay effects using hyperbolic differential equations.

Findings

Method aligns with numerical simulations

Incorporates delay effects via hyperbolic equations

Provides a new analytical tool for superconductor interface analysis

Abstract

In this paper a new approach to obtain the interface propagation speed in superconductors by means of a variationalme thod is introduced. The results of the approach proposed coincide with the numerical simulations. The hyperbolic differential equations are introduced as an extension of the modelin order to take into account delay effects in the front propagation due to the pinning.