Crossover scaling in the dynamics of driven systems

We study growing interfaces in two- and three-dimensional systems by the numerical integration of the Kardar-Parisi-Zhang equation and the Monte Carlo simulation of a solid-on-solid model with asymmetric rates of evaporation and condensation. A crossover scaling ansatz is proposed, which we find accounts for the dependence of growth on the driving force, as we crossover from the dynamic roughening regime, where that force is identically zero, to driven growth, where a nonzero driving force is present. We thus estimate the crossover scaling exponents, as well as the scaling functions.