MULTIFRACTALITY IN THE STOCHASTIC BURGERS-EQUATION

We investigate numerically the scaling properties of spatiotemporal co rrelation functions in the one-dimensional Burgers equation driven by noise with variance proportional to \k\(beta). The long-distance behav ior at beta<0 is determined by shocks that lead to multifractality in the high-order structure functions and a dynamical exponent z close to unity. For beta>0 earlier theoretical predictions for scaling exponen ts constrained by Galilean invariance obtain; these results are not ex pected to hold for beta<0. Nevertheless, the continuation of the fixed point to beta<0 correctly predicts some of the properties, an occurre nce that we relate to the anomalous scaling of composite operators.