Abstract
The formation of the Iroshnikov-Kraichnan spectrum in the inertial interval has been shown for two-dimensional β-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 Kolm-ogorov spectrum provides the origin of zonal flows.
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We are grateful to a referee for useful comments.
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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).
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Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 111, No. 2, pp. 65-74.
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Zinyakov, T.A., Petrosyan, A.S. Spectra of Decaying Two-Dimensional Magnetohydrodynamic Turbulence on a β-Plane. Jetp Lett. 111, 76–84 (2020). https://doi.org/10.1134/S0021364020020125
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DOI: https://doi.org/10.1134/S0021364020020125