On the structure of the drifton phase space and its relation to the Rayleigh–Kuo criterion of the zonal-flow stability

Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y.

doi:10.1063/1.5039652

On the structure of the drifton phase space and its relation to the Rayleigh–Kuo criterion of the zonal-flow stability

Journal Article · Mon Jul 23 00:00:00 EDT 2018 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5039652· OSTI ID:1463315

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Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

The phase space of driftons (drift-wave quanta) is studied within the generalized Hasegawa–Mima collisionless-plasma model in the presence of zonal flows. This phase space is made intricate by the corrections to the drifton ray equations that were recently proposed by Parker [J. Plasma Phys. 82, 595820602 (2016)] and Ruiz et al. [Phys. Plasmas 23, 122304 (2016)]. Contrary to the traditional geometrical-optics (GO) model of the drifton dynamics, it is found that driftons can not only be trapped or passing but also accumulate spatially while experiencing indefinite growth of their momenta. In particular, it is found that the Rayleigh–Kuo threshold known from geophysics corresponds to the regime when such “runaway” trajectories are the only ones possible. On one hand, this analysis helps to visualize the development of the zonostrophic instability, particularly its nonlinear stage, which is studied here both analytically and through wave-kinetic simulations. On the other hand, the GO theory predicts that zonal flows above the Rayleigh–Kuo threshold can only grow; hence, the deterioration of intense zonal flows cannot be captured within a GO model. In particular, this means that the so-called tertiary instability of intense zonal flows cannot be adequately described within the quasilinear wave kinetic equation, contrary to some previous studies.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1463315

Alternate ID(s):: OSTI ID: 1461241

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 25; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (6)

Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence Qi, Di; Majda, Andrew J. Chinese Annals of Mathematics, Series B, Vol. 40, Issue 6 https://doi.org/10.1007/s11401-019-0165-1	journal	November 2019
On the Rayleigh–Kuo criterion for the tertiary instability of zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5038859	journal	August 2018
Nonlinear saturation and oscillations of collisionless zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. New Journal of Physics, Vol. 21, Issue 6 https://doi.org/10.1088/1367-2630/ab2251	journal	June 2019
On the Rayleigh--Kuo criterion for the tertiary instability of zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. arXiv https://doi.org/10.48550/arxiv.1805.02233	text	January 2018
Nonlinear saturation and oscillations of collisionless zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. Zenodo https://doi.org/10.5281/zenodo.2563448	text	January 2019
Nonlinear saturation and oscillations of collisionless zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. Zenodo https://doi.org/10.5281/zenodo.2563449	text	January 2019

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