Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Solitary zonal structures in subcritical drift waves: a minimum model

Journal Article · · Plasma Physics and Controlled Fusion
 [1];  [2];  [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences

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.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1606350
Alternate ID(s):
OSTI ID: 23028737
Journal Information:
Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 4 Vol. 62; ISSN 0741-3335
Publisher:
IOP ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (43)

A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Model Derivation and Basic Physical Features text January 2018
Streamer and zonal flow generation from envelope modulations in drift wave turbulence journal September 2001
A 3D spectral anelastic hydrodynamic code for shearing, stratified flows journal November 2006
Streamer saturation: a dynamical systems approach journal March 2006
Hamiltonian formulation of the modified Hasegawa–Mima equation journal February 2014
Rossby and drift wave turbulence and zonal flows: The Charney–Hasegawa–Mima model and its extensions journal December 2015
Evolution of nonlinearly coupled drift wave-zonal flow system in a nonuniform magnetoplasma journal February 2010
Dynamics of zonal flows: failure of wave-kinetic theory, and new geometrical optics approximations journal November 2016
Transition to subcritical turbulence in a tokamak plasma journal December 2016
On non-local energy transfer via zonal flow in the Dimits shift journal October 2017
Simple advecting structures and the edge of chaos in subcritical tokamak plasmas journal December 2018
Wave kinetic equation for inhomogeneous drift-wave turbulence beyond the quasilinear approximation journal January 2019
Bifurcation in electrostatic resistive drift wave turbulence journal October 2007
Avalanchelike bursts in global gyrokinetic simulations journal February 2009
The modulational instability in the extended Hasegawa-Mima equation with a finite Larmor radius journal December 2012
Zonal flow as pattern formation journal October 2013
Zonal-flow dynamics from a phase-space perspective journal December 2016
A nonlinear approach to transition in subcritical plasmas with sheared flow journal December 2017
On the structure of the drifton phase space and its relation to the Rayleigh–Kuo criterion of the zonal-flow stability journal July 2018
A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features journal October 2018
Gyrofluid turbulence models with kinetic effects journal March 1993
Pseudo-three-dimensional turbulence in magnetized nonuniform plasma journal January 1978
Generalized action invariants for drift waves-zonal flow systems journal December 1999
Excitation of zonal flow by drift waves in toroidal plasmas journal August 2000
Local Three-dimensional Magnetohydrodynamic Simulations of Accretion Disks journal February 1995
Developments in the gyrofluid approach to Tokamak turbulence simulations journal August 1993
Coherent nonlinear structures of drift wave turbulence modulated by zonal flows journal December 2001
Zonal flows in plasma—a review journal April 2005
Shell models and the possibility of application to fusion plasmas journal March 2010
Ion-scale turbulence in MAST: anomalous transport, subcritical transitions, and comparison to BES measurements journal September 2017
On the Quantum Correction For Thermodynamic Equilibrium journal June 1932
Wave kinetics of drift-wave turbulence and zonal flows beyond the ray approximation journal May 2018
Radial Spreading of Drift-Wave–Zonal-Flow Turbulence via Soliton Formation journal July 2009
Statistical Simulation of the Magnetorotational Dynamo journal February 2015
Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models journal February 2020
Plasma Edge Turbulence journal February 1983
Generation and Stability of Zonal Flows in Ion-Temperature-Gradient Mode Turbulence journal December 2000
Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation journal July 2003
Quasiparticle Approach to the Modulational Instability of Drift Waves Coupling to Zonal Flows journal April 2005
Drift waves and transport journal April 1999
Suppression of turbulence and transport by sheared flow journal January 2000
Zonal flow Generation by Modulational Instability
  • Dewar, Robert L.; Abdullatif, R. F.
  • Proceedings of the COSNet/CSIRO Workshop on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media, Frontiers in Turbulence and Coherent Structures https://doi.org/10.1142/9789812771025_0017
conference January 2012
Zonostrophic Instability journal May 2012

Similar Records

Solitary zonal structures in subcritical drift waves: a minimum model
Dataset · Sat Feb 29 23:00:00 EST 2020 · OSTI ID:1608313

Formation of solitary zonal structures via the modulational instability of drift waves
Journal Article · Thu May 23 00:00:00 EDT 2019 · Plasma Physics and Controlled Fusion · OSTI ID:1543455

Influence of zonal flow and density on resistive drift wave turbulent transport
Journal Article · Tue Dec 22 23:00:00 EST 2020 · Physics of Plasmas · OSTI ID:1849549