Exact statistical properties of the Burgers equation

Details Exact statistical properties of the Burgers equation Exact statistical properties of the Burgers equation

1999-05-05

arxiv.org/abs/cond-mat/9905056v1

Physics

Condensed Matter

Statistical Mechanics

21 pages, 6 figures included

Scientific paper

The one dimensional Burgers equation in the inviscid limit with white noise initial condition is revisited. The one- and two-point distributions of the Burgers field as well as the related distributions of shocks are obtained in closed analytical forms. In particular, the large distance behavior of spatial correlations of the field is determined. Since higher order distributions factorize in terms of the one and two points functions, our analysis provides an explicit and complete statistical description of this problem.

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