skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on February 3, 2021

Title: Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models

Authors:
ORCiD logo; ORCiD logo; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1599479
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 5; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Zhu, Hongxuan, Zhou, Yao, and Dodin, I. Y. Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.055002.
Zhu, Hongxuan, Zhou, Yao, & Dodin, I. Y. Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models. United States. doi:10.1103/PhysRevLett.124.055002.
Zhu, Hongxuan, Zhou, Yao, and Dodin, I. Y. Tue . "Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models". United States. doi:10.1103/PhysRevLett.124.055002.
@article{osti_1599479,
title = {Theory of the Tertiary Instability and the Dimits Shift from Reduced Drift-Wave Models},
author = {Zhu, Hongxuan and Zhou, Yao and Dodin, I. Y.},
abstractNote = {},
doi = {10.1103/PhysRevLett.124.055002},
journal = {Physical Review Letters},
number = 5,
volume = 124,
place = {United States},
year = {2020},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on February 3, 2021
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Noncurvature-driven modes in a transport barrier
journal, June 2005

  • Rogers, B. N.; Dorland, W.
  • Physics of Plasmas, Vol. 12, Issue 6
  • DOI: 10.1063/1.1928250

Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory
journal, July 2019

  • Dodin, I. Y.; Ruiz, D. E.; Yanagihara, K.
  • Physics of Plasmas, Vol. 26, Issue 7
  • DOI: 10.1063/1.5095076

Dimits Shift in Realistic Gyrokinetic Plasma-Turbulence Simulations
journal, September 2008


Zonal-flow dynamics from a phase-space perspective
journal, December 2016

  • Ruiz, D. E.; Parker, J. B.; Shi, E. L.
  • Physics of Plasmas, Vol. 23, Issue 12
  • DOI: 10.1063/1.4971813

Interactions of disparate scales in drift-wave turbulence
journal, December 2000


On the tertiary instability formalism of zonal flows in magnetized plasmas
journal, May 2018

  • Rath, F.; Peeters, A. G.; Buchholz, R.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5026670

Small-Scale Turbulence in a Closed-Field-Line Geometry
journal, December 2006


On the Rayleigh–Kuo criterion for the tertiary instability of zonal flows
journal, August 2018

  • Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y.
  • Physics of Plasmas, Vol. 25, Issue 8
  • DOI: 10.1063/1.5038859

Electron temperature gradient driven turbulence
journal, May 2000

  • Jenko, F.; Dorland, W.; Kotschenreuther, M.
  • Physics of Plasmas, Vol. 7, Issue 5
  • DOI: 10.1063/1.874014

Effects of zonal flows on transport crossphase in dissipative trapped-electron mode turbulence in edge plasmas
journal, July 2019


Dynamics of zonal flow saturation in strong collisionless drift wave turbulence
journal, November 2002

  • Kim, Eun-jin; Diamond, P. H.
  • Physics of Plasmas, Vol. 9, Issue 11
  • DOI: 10.1063/1.1514641

Plasma Edge Turbulence
journal, February 1983


Poloidal Flow Driven by Ion-Temperature-Gradient Turbulence in Tokamaks
journal, January 1998


Generalized action invariants for drift waves-zonal flow systems
journal, December 1999

  • Smolyakov, A. I.; Diamond, P. H.
  • Physics of Plasmas, Vol. 6, Issue 12
  • DOI: 10.1063/1.873725

Generation of zonal flows through symmetry breaking of statistical homogeneity
journal, March 2014


Transition to subcritical turbulence in a tokamak plasma
journal, December 2016

  • van Wyk, F.; Highcock, E. G.; Schekochihin, A. A.
  • Journal of Plasma Physics, Vol. 82, Issue 6
  • DOI: 10.1017/S0022377816001148

Stochasticity and the random phase approximation for three electron drift waves
journal, January 1982


Localization of the eigenmode of the drift-resistive plasma by zonal flow
journal, October 2018

  • Kim, Chang-Bae; Min, Byunghoon; An, Chan-Yong
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5048952

Nonlinear saturation and oscillations of collisionless zonal flows
journal, June 2019


The quench rule, Dimits shift, and eigenmode localization by small-scale zonal flows
journal, January 2012

  • Kobayashi, Sumire; Rogers, Barrett N.
  • Physics of Plasmas, Vol. 19, Issue 1
  • DOI: 10.1063/1.3677355

Generation and Stability of Zonal Flows in Ion-Temperature-Gradient Mode Turbulence
journal, December 2000


Wave kinetics of drift-wave turbulence and zonal flows beyond the ray approximation
journal, May 2018


Secondary instability in drift wave turbulence as a mechanism for zonal flow and avalanche formation
journal, August 2001


Bifurcation in electrostatic resistive drift wave turbulence
journal, October 2007

  • Numata, Ryusuke; Ball, Rowena; Dewar, Robert L.
  • Physics of Plasmas, Vol. 14, Issue 10
  • DOI: 10.1063/1.2796106

Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998


Drift waves and transport
journal, April 1999


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

  • Majda, Andrew J.; Qi, Di; Cerfon, Antoine J.
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5049389

On non-local energy transfer via zonal flow in the Dimits shift
journal, October 2017


Avalanches triggered by Kelvin-Helmholtz instability in a cylindrical plasma device
journal, September 2019


Zonal flows in plasma—a review
journal, April 2005


Influence of sheared poloidal rotation on edge turbulence
journal, January 1990

  • Biglari, H.; Diamond, P. H.; Terry, P. W.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 1
  • DOI: 10.1063/1.859529

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

  • McMillan, Ben F.; Pringle, Chris C. T.; Teaca, Bogdan
  • Journal of Plasma Physics, Vol. 84, Issue 6
  • DOI: 10.1017/S0022377818001216

Formation of solitary zonal structures via the modulational instability of drift waves
journal, May 2019

  • Zhou, Yao; Zhu, Hongxuan; Dodin, I. Y.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 7
  • DOI: 10.1088/1361-6587/ab16a8

Comparisons and physics basis of tokamak transport models and turbulence simulations
journal, March 2000

  • Dimits, A. M.; Bateman, G.; Beer, M. A.
  • Physics of Plasmas, Vol. 7, Issue 3
  • DOI: 10.1063/1.873896

On the effects of nonuniform zonal flow in the resistive-drift plasma
journal, January 2019

  • Kim, Chang-Bae; Min, Byunghoon; An, Chan-Yong
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 3
  • DOI: 10.1088/1361-6587/aaf622

A flux-balanced fluid model for collisional plasma edge turbulence: Numerical simulations with different aspect ratios
journal, August 2019

  • Qi, Di; Majda, Andrew J.; Cerfon, Antoine J.
  • Physics of Plasmas, Vol. 26, Issue 8
  • DOI: 10.1063/1.5083845

On the structure of the drifton phase space and its relation to the Rayleigh–Kuo criterion of the zonal-flow stability
journal, July 2018

  • Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y.
  • Physics of Plasmas, Vol. 25, Issue 7
  • DOI: 10.1063/1.5039652

Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory
journal, December 2008

  • Abel, I. G.; Barnes, M.; Cowley, S. C.
  • Physics of Plasmas, Vol. 15, Issue 12
  • DOI: 10.1063/1.3046067

Stationary Spectrum of Strong Turbulence in Magnetized Nonuniform Plasma
journal, July 1977


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


Transition to Collisionless Ion-Temperature-Gradient-Driven Plasma Turbulence: A Dynamical Systems Approach
journal, June 2005


Linearized model Fokker–Planck collision operators for gyrokinetic simulations. II. Numerical implementation and tests
journal, July 2009

  • Barnes, M.; Abel, I. G.; Dorland, W.
  • Physics of Plasmas, Vol. 16, Issue 7
  • DOI: 10.1063/1.3155085