Dynamical Anomalies and Intermittency in Burgers Turbulence

Abstract

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.

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

References in corpus (6)

• On the decay of Burgers turbulence
• Quantized Scaling of Growing Surfaces
• Asymptotic Theory for the Probability Density Functions in Burgers Turbulence
• Burgers Turbulence with Large-scale Forcing
• Burgers turbulence with pressure
• Note on Forced Burgers Turbulence

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• X-ray Emission of Baryonic Gas in the Universe: Luminosity-Temperature Relationship and Soft-Band Background
• Scaling Relation between Sunyaev-Zel'dovich Effect and X-ray Luminosity and Scale-Free Evolution of Cosmic Baryon Field
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