LAGRANGIAN FIELD-THEORY, MULTIFRACTALS, AND UNIVERSAL SCALING IN TURBULENCE

被引:49
作者
EYINK, GL [1 ]
机构
[1] RUTGERS STATE UNIV, DEPT PHYS, NEW BRUNSWICK, NJ 08903 USA
关键词
D O I
10.1016/0375-9601(93)90117-I
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate that there is a complete analogy between multifractal scaling behavior in certain Lagrangian field theories and the scaling properties of inertial-range velocity fields in the common ''cascade models'' of turbulence. On this basis, we propose a renormalization group strategy to study the zero-viscosity limit of fully developed turbulence and establish its short-distance scaling properties. If these properties are due to an RG fixed point which is a universal ultraviolet attractor, then predicted consequences are exact relations between inertial and dissipation-range scaling exponents.
引用
收藏
页码:355 / 360
页数:6
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