Shock statistics in higher-dimensional Burgers turbulence
Statistical Mechanics
2015-05-28 v1
Abstract
We conjecture the exact shock statistics in the inviscid decaying Burgers equation in D>1 dimensions, with a special class of correlated initial velocities, which reduce to Brownian for D=1. The prediction is based on a field-theory argument, and receives support from our numerical calculations. We find that, along any given direction, shocks sizes and locations are uncorrelated.
Keywords
Cite
@article{arxiv.1104.5048,
title = {Shock statistics in higher-dimensional Burgers turbulence},
author = {Pierre Le Doussal and Alberto Rosso and Kay Jörg Wiese},
journal= {arXiv preprint arXiv:1104.5048},
year = {2015}
}
Comments
4 pages, 8 figures