Scaling and Exotic Regimes in Decaying Burgers Turbulence

Details Scaling and Exotic Regimes in Decaying Burgers Turbulence Scaling and Exotic Regimes in Decaying Burgers Turbulence

1998-05-04

arxiv.org/abs/chao-dyn/9805002v1

Physics

Condensed Matter

8 pages, LateX

Scientific paper

10.1088/0305-4470/31/44/003

We analyze the stochastic scaling laws arising in the invicid limit of the decaying solutions of the Burgers equation. The linear scaling of the velocity structure functions is shown to reflect the domination by shocks of the long-time asymptotics. We exhibit new self-similar statistics of solutions describing phases with diluted shocks. Some speculations are included on the nature of systems whose large time behavior is described by the new statistics.

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