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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2023, Volume 117, Issue 2, Pages 127–131
DOI: https://doi.org/10.31857/S1234567823020076 (Mi jetpl6849) 		 
This article is cited in 4 scientific papers (total in 4 papers)

PLASMA, HYDRO- AND GAS DYNAMICS

Pair correlation function of vorticity in a coherent vortex

I. V. Kolokolovab, V. V. Lebedevab, M. M. Tumakovaac

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia
b National Research University Higher School of Economics, Moscow, 101000 Russia
c National Research University Higher School of Economics, St. Petersburg, 190008 Russia
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DOI: https://doi.org/10.31857/S1234567823020076
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-1099
Russian Foundation for Basic Research 19-32-60065
Foundation for the Development of Theoretical Physics and Mathematics BASIS
I.V. Kolokolov and V.V. Lebedev acknowledge the support of the National Center for Physics and Mathematics (scientific program). M.M. Tumakova acknowledges the support of the Russian Foundation for Basic Research (project no. 19-32-60065) and the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS. V.V. Lebedev acknowledges the support of the Ministry of Science and Higher Education of the Russian Federation (project no. 075-15-2022-1099).
Received: 08.11.2022
Revised: 24.11.2022
Accepted: 02.12.2022
English version:
Journal of Experimental and Theoretical Physics Letters, 2023, Volume 117, Issue 2, Pages 122–125
DOI: https://doi.org/10.1134/S0021364022603116
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Kolokolov, V. V. Lebedev, M. M. Tumakova, “Pair correlation function of vorticity in a coherent vortex”, Pis'ma v Zh. Èksper. Teoret. Fiz., 117:2 (2023), 127–131; JETP Letters, 117:2 (2023), 122–125
Citation in format AMSBIB
\Bibitem{KolLebTum23}
\by I.~V.~Kolokolov, V.~V.~Lebedev, M.~M.~Tumakova
\paper Pair correlation function of vorticity in a coherent vortex
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2023
\vol 117
\issue 2
\pages 127--131
\mathnet{http://mi.mathnet.ru/jetpl6849}
\crossref{https://doi.org/10.31857/S1234567823020076}
\edn{https://elibrary.ru/oerbul}
\transl
\jour JETP Letters
\yr 2023
\vol 117
\issue 2
\pages 122--125
\crossref{https://doi.org/10.1134/S0021364022603116}
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    • This publication is cited in the following 4 articles:
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