A simple model for thermomagnetic instability of critical state dynamics in superconductive films

TL;DR

This paper presents a one-dimensional numerical model for magnetic flux penetration in thin superconductive films, incorporating geometric effects and temperature-dependent flux flow resistance to analyze thermomagnetic instability.

Contribution

It introduces a simplified yet effective model that combines geometric magnetic field considerations with flux flow resistance phenomenology for superconductive films.

Findings

Model captures flux penetration dynamics accurately.

Reveals conditions leading to thermomagnetic instability.

Provides insights into critical state behavior in superconductors.

Abstract

An one-dimensional model of magnetic flux penetration into thin strip-like superconductive film is subject to numerical analysis which combines explicit account for specific oblate geometry of magnetic field lines around the film and a simplest phenomenology of the flux flow resistance under rigid pinning of vortices with temperature-dependent critical current.