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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2020, Volume 111, Issue 2, Pages 65–74
DOI: https://doi.org/10.31857/S0370274X20020034 (Mi jetpl6086) 		 
This article is cited in 6 scientific papers (total in 6 papers)

PLASMA, HYDRO- AND GAS DYNAMICS

Spectra of decaying two-dimensional magnetohydrodynamic turbulence on a $\beta$-plane

T. A. Zinyakova, A. S. Petrosyanab

a Space Research Institute, Russian Academy of Sciences, Moscow, 117997 Russia
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141701 Russia
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DOI: https://doi.org/10.31857/S0370274X20020034
Abstract: The formation of the Iroshnikov-Kraichnan spectrum in the inertial interval has been shown for two-dimensional $\beta$-plane decaying homogeneous magnetohydrodynamic turbulence. An expression for the wavenum-ber that characterizes the boundary between the inertial interval of the Iroshnikov-Kraichnan spectrum and the region of existence of Rossby waves has been obtained. The self-similar decay of the Iroshnikov-Kraichnan spectrum in time has been investigated. The violation of the self-similar decay of the total energy spectrum and the formation of the Kolmogorov spectrum in the inertial range of the kinetic energy have been found at large time intervals. The inverse cascade of the kinetic energy characteristic of the detected Kolmogorov spectrum provides the origin of zonal flows.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 19-02-00016
Russian Academy of Sciences - Federal Agency for Scientific Organizations ÊÏ19-270
Russian Foundation for Basic Research 19-02-00016
This work was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS, by the Presidium of the Russian Academy of Sciences (project KP19-270 “Problems of the Origin and Evolution of the Universe Using Ground-Based Observations and Space Research”), and by the Russian Foundation for Basic Research (project no. 19-02-00016).
Received: 25.10.2019
Revised: 09.12.2019
Accepted: 09.12.2019
English version:
Journal of Experimental and Theoretical Physics Letters, 2020, Volume 111, Issue 2, Pages 76–84
DOI: https://doi.org/10.1134/S0021364020020125
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. A. Zinyakov, A. S. Petrosyan, “Spectra of decaying two-dimensional magnetohydrodynamic turbulence on a $\beta$-plane”, Pis'ma v Zh. Èksper. Teoret. Fiz., 111:2 (2020), 65–74; JETP Letters, 111:2 (2020), 76–84
Citation in format AMSBIB
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