title: Canonical phase-space approach to the noisy Burgers equation.
abstract: Presenting a general phase-space approach to stochastic processes we analyze in particular the Fokker-Planck equation for the noisy Burgers equation and discuss the time-dependent and stationary probability distributions. In one dimension we derive the long-time skew distribution approaching the symmetric stationary Gaussian distribution. In the short-time regime we discuss heuristically the nonlinear soliton contributions and derive an expression for the distribution in accordance with the directed polymer-replica model and asymmetric exclusion model results.
authors.affiliation: Institute of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C, Denmark.
authors.forename: H C
authors.initials: HC
authors.lastname: Fogedby