A Theory of Hydrodynamic Turbulence Based on Non-equilibrium Statistical Mechanics

被引：2

作者：

Ruelle, David ^{[1
,2
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08901 USA

[2] IHES, F-91440 Bures Sur Yvette, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2017年 / 169卷 / 06期

关键词：

Turbulence; Non-equilibrium statistical mechanics; Intermittency; Kolmogorov-Obukhov theory; FLUID;

D O I：

10.1007/s10955-017-1914-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In earlier papers, we have studied the turbulent flow exponents , where and is the contribution to the fluid velocity at small scale . Using ideas of non-equilibrium statistical mechanics we have found zeta(p) = p/3 - 1/ln k ln Gamma(p/3 + 1) where is experimentally . The purpose of the present note is to propose a somewhat more physical derivation of the formula for zeta(p). We also present an estimate for the Reynolds number at the onset of turbulence.

引用

页码：1039 / 1044

页数：6

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