Shock statistics in higher-dimensional Burgers turbulence

Details Shock statistics in higher-dimensional Burgers turbulence Shock statistics in higher-dimensional Burgers turbulence

2011-04-26

arxiv.org/abs/1104.5048v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 8 figures

Scientific paper

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.

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