FROM SCALING TO MULTISCALING IN THE STOCHASTIC BURGERS-EQUATION

We investigate the scaling behavior of the structure functions, S-q(r) =[[u(r)-u(0)](q)]proportional to\r\(zeta q), in the stochastic Burgers equation as a function of the exponent beta that characterizes the sc ale of noise correlations, for 0<beta<-1 we analyze the exact equation s satisfied by S-q(r)(q=3,4,5) based on certain ansatze. For small neg ative beta Kolmogorov-like scaling with zeta(q) = -q beta/3 is obtaine d; as beta--> -1 an increasing multifractal structure occurs with bifr actality for beta<-1. We determine zeta(4) and zeta(5), which are piec ewise continuous and the associated multifractal scaling exponents.