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September 22, 2026
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Correlations of Vorticity inside a Coherent Vortex

Journal of Experimental and Theoretical Physics. 2023. Vol. 136. No. 6. P. 785–794.
I. V. Kolokolov, V. V. Lebedev, Tumakova M. M.

We investigate fluctuations of vorticity inside a coherent vortex generated by the inverse energy cas-
cade in two-dimensional turbulence. Temporal and spatial correlations can be characterized by the pair cor-
relation function. The interaction of fluctuations leads to a nonzero third moment of vorticity. We analyze the
pair correlation function and the third moment using a model in which the pumping is short-correlated in
time and derive explicit expressions for the Gaussian spatial correlation function for the pumping force.

Research target: Physics
Language: English
Full text
DOI
Keywords: нелинейностьnon-linearityфлуктуацииtwo-dimensional turbulenceдвумерная турбулентностьfluctuation
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