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Pair Correlation Function of Vorticity in a Coherent Vortex
- Authors: Kolokolov I.V1,2, Lebedev V.V1,2, Tumakova M.M1,2
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Affiliations:
- Landau Institute for Theoretical Physics, Russian Academy of Sciences
- National Research University Higher School of Economics
- Issue: Vol 117, No 1-2 (1) (2023)
- Pages: 127-131
- Section: Articles
- URL: https://journal-vniispk.ru/0370-274X/article/view/145123
- DOI: https://doi.org/10.31857/S1234567823020076
- EDN: https://elibrary.ru/OERBUL
- ID: 145123
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Abstract
We study the correlations of vorticity fluctuations inside a coherent vortex resulting from the inverse energy cascade in two-dimensional turbulence. The presence of a coherent flow, which is a differential rotation, suppresses small-scale fluctuations of the flow, which are created by an external force, and lead to the fact that these fluctuations can be considered as non-interacting and, therefore, examined in a linear approximation. We calculate the pair correlation function of vorticity and demonstrate that it has a power-law behavior both in space and in time. The obtained results allow us to start a systematic study of the effects associated with the nonlinear interaction of fluctuations, which play an essential role on the periphery of a coherent vortex. Our results are also applicable to the statistics of a passive scalar in a strong shear flow.
About the authors
I. V Kolokolov
Landau Institute for Theoretical Physics, Russian Academy of Sciences; National Research University Higher School of Economics
Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow region, Russia; 101000, Moscow, Russia
V. V Lebedev
Landau Institute for Theoretical Physics, Russian Academy of Sciences; National Research University Higher School of Economics
Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow region, Russia; 190008, St. Petersburg, Russia
M. M Tumakova
Landau Institute for Theoretical Physics, Russian Academy of Sciences; National Research University Higher School of Economics
Author for correspondence.
Email: igor.kolokolov@gmail.com
142432, Chernogolovka, Moscow region, Russia; 101000, Moscow, Russia
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