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In this study we perform numerical calculations of the spatial and timevariation of the magnetic induction, current density and temperature in aninfinite superconducting slab with macroscopic inhomogeneities. We also modeledan homogeneuos superconductor as a referential material, consideringcharacteristic magnetothermal properties of a high-T$_c$ single crystal. Thetheoretical formalism is enclosed in the dynamical regime and a continuumelectrodynamic approach. In particular, we studied the correlation between themagnetic jumps and temperature rise occurrence with the presence ofmacroscopical inhomogeneities, modeled through an stochastic current-carryingability spatial profile.

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