MORPHOLOGY AND SCALING IN THE NOISY BURGERS-EQUATION - SOLITON APPROACH TO THE STRONG-COUPLING FIXED-POINT

The noisy Burgers equation in one dimension is treated by a nonlinear soliton approach based on the Martin-Siggia-Rose technique, In a canon ical formulation the strong coupling fixed point is accessed by a prin ciple of least action in the asymptotic nonperturbative weak noise lim it. The scaling behavior and the growth morphology are described by a gas of solitons and a superposed gas of linear modes, The gapless soli ton dispersion yields the dynamic exponent. The roughness exponent and the scaling function, of the form of a Levy distribution, follow from a spectral representation of the interface slope correlations. [S0031 -9057(97)05282-4].