A model that takes into account the discrete character of a multiconductor superconducting medium is used to study the characteristic features of transition processes which occur when a region of normal conductivity appears. This analysis is based on numerical simulations of the propagation of a normal zone inside a superconducting region consisting of rectilinear superconductors, with a model for the kinetics of the irreversible loss of the superconducting properties of a single-ply, large radius winding. The thermophysical aspects of the irreversible propagation of a thermal perturbation within the transverse cross section of a multiconductor superconducting medium are analyzed. The major features of the phenomena taking place during the loss of superconductivity by a discrete region are formulated as functions of the conditions for heat transfer between its elements, the character of the perturbation, the magnitude of the flowing current, and the conditions for stabilization. The influence of longitudinal heat conduction on the magnitude of the transverse propagation velocity of a normal zone is examined.