  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.
