Wave kinetics of driftwave turbulence and zonal flows beyond the ray approximation
Inhomogeneous driftwave turbulence can be modeled as an effective plasma where drift waves act as quantumlike particles and the zonalflow velocity serves as a collective field through which they interact. This effective plasma can be described by a WignerMoyal equation (WME), which generalizes the quasilinear wavekinetic equation (WKE) to the fullwave regime, i.e., resolves the wavelength scale. Unlike waves governed by manifestly quantumlike equations, whose WMEs can be borrowed from quantum mechanics and are commonly known, drift waves have Hamiltonians very different from those of conventional quantum particles. This causes unusual phasespace dynamics that is typically not captured by the WKE. We demonstrate how to correctly model this dynamics with the WME instead. Specifically, we report fullwave phasespace simulations of the zonalflow formation (zonostrophic instability), deterioration (tertiary instability), and the socalled predatorprey oscillations. We also show how the WME facilitates analysis of these phenomena, namely, (i) we show that fullwave effects critically affect the zonostrophic instability, particularly its nonlinear stage and saturation; (ii) we derive the tertiaryinstability growth rate; and (iii) we demonstrate that, with fullwave effects retained, the predatorprey oscillations do not require zonalflow collisional damping, contrary to previous studies. In conclusion, we also show how the famous RayleighKuomore »
 Authors:

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 Princeton Univ., Princeton, NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 Grant/Contract Number:
 AC0209CH11466; NA0003525
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review E
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 24700045
 Publisher:
 American Physical Society (APS)
 Research Org:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
 OSTI Identifier:
 1440782
 Alternate Identifier(s):
 OSTI ID: 1439383
Zhu, Hongxuan, Zhou, Yao, Ruiz, D. E., and Dodin, I. Y.. Wave kinetics of driftwave turbulence and zonal flows beyond the ray approximation. United States: N. p.,
Web. doi:10.1103/PhysRevE.97.053210.
Zhu, Hongxuan, Zhou, Yao, Ruiz, D. E., & Dodin, I. Y.. Wave kinetics of driftwave turbulence and zonal flows beyond the ray approximation. United States. doi:10.1103/PhysRevE.97.053210.
Zhu, Hongxuan, Zhou, Yao, Ruiz, D. E., and Dodin, I. Y.. 2018.
"Wave kinetics of driftwave turbulence and zonal flows beyond the ray approximation". United States.
doi:10.1103/PhysRevE.97.053210.
@article{osti_1440782,
title = {Wave kinetics of driftwave turbulence and zonal flows beyond the ray approximation},
author = {Zhu, Hongxuan and Zhou, Yao and Ruiz, D. E. and Dodin, I. Y.},
abstractNote = {Inhomogeneous driftwave turbulence can be modeled as an effective plasma where drift waves act as quantumlike particles and the zonalflow velocity serves as a collective field through which they interact. This effective plasma can be described by a WignerMoyal equation (WME), which generalizes the quasilinear wavekinetic equation (WKE) to the fullwave regime, i.e., resolves the wavelength scale. Unlike waves governed by manifestly quantumlike equations, whose WMEs can be borrowed from quantum mechanics and are commonly known, drift waves have Hamiltonians very different from those of conventional quantum particles. This causes unusual phasespace dynamics that is typically not captured by the WKE. We demonstrate how to correctly model this dynamics with the WME instead. Specifically, we report fullwave phasespace simulations of the zonalflow formation (zonostrophic instability), deterioration (tertiary instability), and the socalled predatorprey oscillations. We also show how the WME facilitates analysis of these phenomena, namely, (i) we show that fullwave effects critically affect the zonostrophic instability, particularly its nonlinear stage and saturation; (ii) we derive the tertiaryinstability growth rate; and (iii) we demonstrate that, with fullwave effects retained, the predatorprey oscillations do not require zonalflow collisional damping, contrary to previous studies. In conclusion, we also show how the famous RayleighKuo criterion, which has been missing in wavekinetic theories of driftwave turbulence, emerges from the WME.},
doi = {10.1103/PhysRevE.97.053210},
journal = {Physical Review E},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}