RENORMALIZATION-GROUP ANALYSIS OF A NOISY KURAMOTO-SIVASHINSKY EQUATION

We have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization-group calculation. For a system in which the lattice spacing is smaller than the typical wavelength of the linear instability occurring in the system, the large distance and long-time behavior of this equation is the same as for the Kardar-Parisi-Zhang equation in one and two spatial dimensions. For the d = 2 case the agreement is only qualitative. On the other hand, when coarse graining on larger scales the asymptotic how depends on the initial values of the parameters.