Hydrodynamic Approximation for 2D Optical Turbulence: Statistical Distribution Symmetry

Optical turbulence is described in terms of multipoint probability density distribution functions (PDF) f n using the Lundgren–Monin–Novikov (LMN) equation (statistical form of the Euler equation) for the field of vortex w = ∇ × u in a 2D flow ( u is the weight velocity field). The evolution of Lagr...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin of the Lebedev Physics Institute 2023-09, Vol.50 (Suppl 3), p.S343-S354
Main Authors: Grebenev, V. N., Grishkov, A. N., Medvedev, S. B., Fedoruk, M. P.
Format: Article
Language:English
Subjects:
Conformal mapping
Density distribution
Distribution functions
Euler-Lagrange equation
Physics
Physics and Astronomy
Statistical analysis
Turbulence
Two dimensional flow
Velocity distribution
Vorticity
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Optical turbulence is described in terms of multipoint probability density distribution functions (PDF) f n using the Lundgren–Monin–Novikov (LMN) equation (statistical form of the Euler equation) for the field of vortex w = ∇ × u in a 2D flow ( u is the weight velocity field). The evolution of Lagrangian particles occurs along the characteristics of the f n equation from the LMN hierarchy. The vorticity is preserved along the characteristics in the absence of an external random force. It is shown that the G group of conformal transformations invariantly transforms the characteristics of the equation with zero vorticity and the family of f n equations for PDF along these lines, or the statistics of zero-vorticity lines. Along other level lines w = const ≠ 0, the statistics is not conformally invariant. In addition, the action of G conserves the PDF class.
ISSN:1068-3356
1934-838X
DOI:10.3103/S106833562315006X