DYNAMICS OF A STOCHASTIC LINEAR-GROWTH EQUATION WITH SPATIOTEMPORAL CORRELATED NOISE

The Edwards-Wilkinson (EW) equation [Proc. R. Sec. London, Ser. A 381, 17 (1982)] with long-range spatiotemporal noise correlation of the po wer-law form for arbitrary substrate dimensionality is analyzed in det ail. We obtain in closed form not only the interfacial width but also various correlation functions characterizing the system. This informat ion can be employed for the comparison with experiments directly, perm itting determination of various parameters. Furthermore, we demonstrat e explicitly that the interface described by the EW equation with corr elated noise for arbitrary substrate dimensionality is still a self-af fine fractal governed by dynamic scaling.