Canonical phase space approach to the noisy Burgers equation

Details Canonical phase space approach to the noisy Burgers equation Canonical phase space approach to the noisy Burgers equation

1998-12-06

arxiv.org/abs/cond-mat/9812091v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, Revtex file, submitted to Phys. Rev. Lett. a reference has been added and a few typos corrected

Scientific paper

10.1103/PhysRevE.60.4950

Presenting a general phase 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.

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