Dynamical Anomalies and Intermittency in Burgers Turbulence

Details Dynamical Anomalies and Intermittency in Burgers Turbulence Dynamical Anomalies and Intermittency in Burgers Turbulence

1998-11-16

arxiv.org/abs/cond-mat/9811223v2

Phys.Rev.Lett.84:2618-2621,2000

Physics

Condensed Matter

revised version, 4 pp., 1 fig., to appear in PRL

Scientific paper

10.1103/PhysRevLett.84.2618

We analyze the field theory of fully developed Burgers turbulence. Its key elements are shock fields, which characterize the singularity statistics of the velocity field. The shock fields enter an operator product expansion describing intermittency. The latter is found to be constrained by dynamical anomalies expressing finite dissipation in the inviscid limit. The link between dynamical anomalies and intermittency is argued to be important in a wider context of turbulence.

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