A beam of laser radiation incident on the surface of a metallic film w
hich is in thermal contact with an undercritical current-carrying HTSC
film, produces a localized destruction of superconductivity in the in
terface, which then propagates along all the CuO2-planes of the superc
onductor. Using a quasi-stationary approximation of the heat equation,
we have developped a theoretical model which shows that the correspon
ding I-V characteristics are due to the flow of the current through a
large number of time-varying resistors in parallel.