INTERFACIAL GROWTH IN DRIVEN GINZBURG-LANDAU MODELS - SHORT AND LONG-TIME DYNAMICS

Interfacial growth in driven systems is studied from the initial stage to the long-time regime. Numerical integrations of a Ginzburg-Landau type equation with a new flux term introduced by an external field are presented. The interfacial instabilities are induced by the external field. From the numerical results, we obtain the dispersion relation f or the initial growth. During the intermediate temporal regime, finger s of a characteristic triangular shape could grow. Depending on the bo undary conditions, the final state corresponds to strips, multifinger states, or a one-finger state. The results for the initial growth are interpreted by means of surface-driven and Mullins-Sekerka instabiliti es. The shape of the one-finger state is explained in terms of the cha racteristic length introduced by the external field.