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A theoretical analysis based on a numerical solution of the coupledtime-dependent Ginzburg-Landau and heat dissipation equations shows a strongdependence of the critical currents on the applied magnetic field in amesoscopic square with attached contacts. In agreement with experiment we foundhysteresis which are caused by a strong heat dissipation in the sample atcurrents close to the depairing Ginzburg-Landau current and/or the dynamics ofthe superconducting condensate. The theoretically obtained nonmonotonousdependence of the switching current (from superconducting to the resistivestate) on the applied magnetic field, arising from the changes in thevorticity, agrees quantitatively with the experimental data. Our results showthat heat dissipation leads to an increase of the hysteresis in thecurrent-voltage characteristic and hence masks the actual dynamics of thesuperconducting condensate.

Masking effect of heat dissipation on the current-voltage characteristics of a mesoscopic superconducting sample with leads