Solitary zonal structures in subcritical drift waves: a minimum model

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

doi:10.1088/1361-6587/ab78f3

Title: Solitary zonal structures in subcritical drift waves: a minimum model

Abstract

Solitary zonal structures have recently been identified in gyrokinetic simulations of subcritical drift-wave (DW) turbulence with background shear flows. However, the nature of these structures has not been fully understood yet. Here, we show that similar structures can be obtained within a reduced model, which complements the modified Hasegawa–Mima equation with a generic primary instability and a background shear flow. We also find that these structures can be qualitatively reproduced in the modified Hasegawa–Wakatani equation, which subsumes the reduced model as a limit. In particular, we illustrate that in both cases, the solitary zonal structures approximately satisfy the same 'equation of state', which is a local relation connecting the DW envelope with the zonal-flow velocity. Due to this generality, our reduced model can be considered as a minimum model for solitary zonal structures in subcritical DWs.

Authors:

^[1];

^[2];

^[2]

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

Publication Date:: Tue Mar 10 00:00:00 EDT 2020

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1606350

Grant/Contract Number:: AC02-09CH11466

Resource Type:: Accepted Manuscript

Journal Name:: Plasma Physics and Controlled Fusion

Additional Journal Information:: Journal Volume: 62; Journal Issue: 4; Journal ID: ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats


                    Zhou, Yao, Zhu, Hongxuan, and Dodin, I. Y. Solitary zonal structures in subcritical drift waves: a minimum model.  United States: N. p., 2020. 
Web.  doi:10.1088/1361-6587/ab78f3.

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                    Zhou, Yao, Zhu, Hongxuan, & Dodin, I. Y. Solitary zonal structures in subcritical drift waves: a minimum model.  United States.  https://doi.org/10.1088/1361-6587/ab78f3

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                    Zhou, Yao, Zhu, Hongxuan, and Dodin, I. Y. Tue .  
"Solitary zonal structures in subcritical drift waves: a minimum model".  United States.  https://doi.org/10.1088/1361-6587/ab78f3.  https://www.osti.gov/servlets/purl/1606350.

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@article{osti_1606350,

  title        = {Solitary zonal structures in subcritical drift waves: a minimum model},

  author       = {Zhou, Yao and Zhu, Hongxuan and Dodin, I. Y.},

  abstractNote = {Solitary zonal structures have recently been identified in gyrokinetic simulations of subcritical drift-wave (DW) turbulence with background shear flows. However, the nature of these structures has not been fully understood yet. Here, we show that similar structures can be obtained within a reduced model, which complements the modified Hasegawa–Mima equation with a generic primary instability and a background shear flow. We also find that these structures can be qualitatively reproduced in the modified Hasegawa–Wakatani equation, which subsumes the reduced model as a limit. In particular, we illustrate that in both cases, the solitary zonal structures approximately satisfy the same 'equation of state', which is a local relation connecting the DW envelope with the zonal-flow velocity. Due to this generality, our reduced model can be considered as a minimum model for solitary zonal structures in subcritical DWs.},

  doi          = {10.1088/1361-6587/ab78f3},

  journal      = {Plasma Physics and Controlled Fusion},

  number       = 4,

  volume       = 62,

  place        = {United States},

  year         = {Tue Mar 10 00:00:00 EDT 2020},

  month        = {Tue Mar 10 00:00:00 EDT 2020}

}

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Title: Solitary zonal structures in subcritical drift waves: a minimum model

Abstract

Citation Formats

Statistical Simulation of the Magnetorotational Dynamo journal, February 2015

Shell models and the possibility of application to fusion plasmas journal, March 2010

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A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features journal, October 2018

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Simple advecting structures and the edge of chaos in subcritical tokamak plasmas journal, December 2018

Ion-scale turbulence in MAST: anomalous transport, subcritical transitions, and comparison to BES measurements journal, September 2017

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Developments in the gyrofluid approach to Tokamak turbulence simulations journal, August 1993

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Rossby and drift wave turbulence and zonal flows: The Charney–Hasegawa–Mima model and its extensions journal, December 2015

Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models journal, February 2020

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Statistical Simulation of the Magnetorotational Dynamo
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Shell models and the possibility of application to fusion plasmas
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Local Three-dimensional Magnetohydrodynamic Simulations of Accretion Disks
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Zonal flow as pattern formation
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Zonal-flow dynamics from a phase-space perspective
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A 3D spectral anelastic hydrodynamic code for shearing, stratified flows
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A nonlinear approach to transition in subcritical plasmas with sheared flow
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Dynamics of zonal flows: failure of wave-kinetic theory, and new geometrical optics approximations
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Quasiparticle Approach to the Modulational Instability of Drift Waves Coupling to Zonal Flows
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Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
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Generalized action invariants for drift waves-zonal flow systems
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Transition to subcritical turbulence in a tokamak plasma
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On the Quantum Correction For Thermodynamic Equilibrium
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The modulational instability in the extended Hasegawa-Mima equation with a finite Larmor radius
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Streamer and zonal flow generation from envelope modulations in drift wave turbulence
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Wave kinetics of drift-wave turbulence and zonal flows beyond the ray approximation
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Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation
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Bifurcation in electrostatic resistive drift wave turbulence
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Avalanchelike bursts in global gyrokinetic simulations
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Coherent nonlinear structures of drift wave turbulence modulated by zonal flows
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A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features
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Gyrofluid turbulence models with kinetic effects
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Streamer saturation: a dynamical systems approach
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Wave kinetic equation for inhomogeneous drift-wave turbulence beyond the quasilinear approximation
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Radial Spreading of Drift-Wave–Zonal-Flow Turbulence via Soliton Formation
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Excitation of zonal flow by drift waves in toroidal plasmas
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Simple advecting structures and the edge of chaos in subcritical tokamak plasmas
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Ion-scale turbulence in MAST: anomalous transport, subcritical transitions, and comparison to BES measurements
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Evolution of nonlinearly coupled drift wave-zonal flow system in a nonuniform magnetoplasma
journal, February 2010

Suppression of turbulence and transport by sheared flow
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Zonostrophic Instability
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On the structure of the drifton phase space and its relation to the Rayleigh–Kuo criterion of the zonal-flow stability
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Developments in the gyrofluid approach to Tokamak turbulence simulations
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Rossby and drift wave turbulence and zonal flows: The Charney–Hasegawa–Mima model and its extensions
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