LAUSR

Abstract We study the superconducting state of a thin film at zero external applied magnetic field under a transport electric current, Ja. By taking into account the roughness percentage of its surface R, we show that the value of J a = J c 1 at which the first vortex-antivortex (V-Av) pair penetrates the sample, the superconducting-normal transition current J a = J c 2 , as well as their average velocities and dynamics, strongly depend on the R values. It will be shown that Jc1 and Jc2 follows a scaling law for different values of R. Our investigation was carried out by numerically solving the two-dimensional generalized time-dependent Ginzburg-Landau equations.