Probability distributions and spectra of potential hydrodynamic turbulence
Abstract
Characteristics of a chaotic potential vector field described by a threedimensional Burgers equation are considered. It is shown that following the transition regime, the potential vector field assumes a cellular structure. The universal behavior inside each cell is characterized by two parameters: 'center' and 'action'. The plane faces of the cells move with a constant velocity toward the cell, corresponding to smaller minimum action. Due to the multiple absorption of weaker cells, the characteristic dimension of the cells increases, and a cell structure with selfsimilar statistical properties is established. One and two point probability distributions and the correlation functions and spectra of the chaotic potential vector field are found, and a comparatively high coherency is noted in the structure of the cells. A possible relation between cell structure and the largescale structure of the universe is discussed, and the mean density of matter inside the cells is calculated.
 Publication:

Radiofizika
 Pub Date:
 1984
 Bibcode:
 1984RaF....27..456G
 Keywords:

 Astrophysics;
 Hydrodynamic Equations;
 Probability Distribution Functions;
 Turbulence;
 Universe;
 Astronomical Models;
 Correlation;
 Spectrum Analysis;
 Vector Analysis;
 Astrophysics