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.
Phys Rev Lett. 2000 Mar 20;84(12):2618-21. doi: 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.
我们分析了充分发展的伯格斯湍流的场论。其关键要素是激波场，它表征了速度场的奇点统计。激波场进入一个描述间歇性的算符乘积展开式。结果发现，后者受到在无粘极限下表示有限耗散的动力学反常的约束。动力学反常与间歇性之间的联系被认为在更广泛的湍流背景下很重要。
