Numerical modeling of the influence of randomly macroscopic inhomogeneities on the magnetic induction and temperature dynamics of a high-T$_c$ superconducting slab

TL;DR

This paper uses numerical modeling to analyze how random macroscopic inhomogeneities affect magnetic and thermal behavior in high-temperature superconducting slabs, revealing their impact on magnetic jumps and temperature rises.

Contribution

It introduces a numerical approach to simulate the effects of macroscopic inhomogeneities on magnetic and thermal dynamics in high-Tc superconductors, incorporating stochastic inhomogeneity profiles.

Findings

Macroscopic inhomogeneities influence magnetic jump behavior.

Temperature rises correlate with inhomogeneity presence.

Model provides insights into superconductor stability under inhomogeneous conditions.

Abstract

In this study we perform numerical calculations of the spatial and time variation of the magnetic induction, current density and temperature in an infinite superconducting slab with macroscopic inhomogeneities. We also modeled an homogeneuos superconductor as a referential material, considering characteristic magnetothermal properties of a high-T$_c$ single crystal. The theoretical formalism is enclosed in the dynamical regime and a continuum electrodynamic approach. In particular, we studied the correlation between the magnetic jumps and temperature rise occurrence with the presence of macroscopical inhomogeneities, modeled through an stochastic current-carrying ability spatial profile.