DYNAMICAL RENORMALIZATION-GROUP ANALYSIS OF 4TH-ORDER CONSERVED GROWTH NONLINEARITIES

A nonlinear stochastic fourth-order conserved growth equation h/t=-44h + 222(h)2 +13(h)3+ has been studied analytically, using the perturbative dynamical renormalization group approach. One-loop calculation generates long-wavelength scaling properties of the known Edwards-Wilkinson universality class which has the corresponding equation h/t=22h+. Our result agrees with the recent numerical result of Kim and Das Sarma (unpublished) based on direct numerical integration. A two-loop calculation validates our conclusion, and we argue that our result holds to all orders in perturbative expansion. © 1994 The American Physical Society.