Scaling function for the noisy Burgers equation in the soliton approximation
Statistical Mechanics
2014-10-07 v3 Soft Condensed Matter
Pattern Formation and Solitons
Abstract
We derive the scaling function for the one dimensional noisy Burgers equation in the two-soliton approximation within the weak noise canonical phase space approach. The result is in agreement with an earlier heuristic expression and exhibits the correct scaling properties. The calculation presents the first step in a many body treatment of the correlations in the Burgers equation.
Keywords
Cite
@article{arxiv.cond-mat/0005027,
title = {Scaling function for the noisy Burgers equation in the soliton approximation},
author = {Hans C. Fogedby},
journal= {arXiv preprint arXiv:cond-mat/0005027},
year = {2014}
}
Comments
Replacement: Several corrections, 4 pages, Revtex file, 3 figures. To appear in Europhysics Letters