Dynamical anomalies and intermittency in burgers turbulence
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.
Lassig
M
Max-Planck-Institut fur Kolloid- und Grenzflachenforschung, Kantstrasse 55, 14513 Teltow, Germany and Institut fur theoretische Physik, Universitat zu Koln, Zulpicher Strasse 77, 50937 Koln, Germany.