Hydrodynamic Approximation for 2D Optical Turbulence: Statistical Distribution Symmetry.
In: Bulletin of the Lebedev Physics Institute, Jg. 50 (2023-09-02), S. S343- (12S.)
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Zugriff:
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. [ABSTRACT FROM AUTHOR]
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Titel: |
Hydrodynamic Approximation for 2D Optical Turbulence: Statistical Distribution Symmetry.
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Autor/in / Beteiligte Person: | Grebenev, V. N. ; Grishkov, A. N. ; Medvedev, S. B. ; Fedoruk, M. P. |
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Zeitschrift: | Bulletin of the Lebedev Physics Institute, Jg. 50 (2023-09-02), S. S343- (12S.) |
Veröffentlichung: | 2023 |
Medientyp: | academicJournal |
ISSN: | 1068-3356 (print) |
DOI: | 10.3103/S106833562315006X |
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