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Title: A unified theory of zonal flow shears and density corrugations in drift wave turbulence

Journal Article · · Plasma Physics and Controlled Fusion

A unified theory of zonal flow shears and density corrugations in drift wave turbulence is presented. Polarization and density advection beat excitation are studied in combination with modulational response. Noise is driven by two-time flux correlation. While the effective zonal flow eddy viscosity can go negative, the zonal diffusivity is positive definite. There is no inverse cascade of density corrugation. The connection between avalanches and corrugations is discussed. Here, the zonal cross-correlation is identified and calculated. Conditions for alignment of zonal shears and corrugation gradients are determined, and the implications for staircase structure are discussed. We show that the synergy of beat noise and modulational effects is stronger than either alone. Strong zonal flows can be excited well below the modulational instability threshold. In the context of L–H transition, zonal noise quenches turbulence overshoot by eliminating the threshold for zonal flow excitation. The power threshold for L–H transition is lowered.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
FG02-04ER54738
OSTI ID:
1761071
Journal Information:
Plasma Physics and Controlled Fusion, Vol. 63, Issue 3; ISSN 0741-3335
Publisher:
IOP ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (67)

Finding the Elusive E × B Staircase in Magnetized Plasmas journal February 2015
Observation of turbulent-driven shear flow in a cylindrical laboratory plasma device journal March 2006
Self-similarity of the plasma edge fluctuations journal October 1998
Statistical dynamics of dissipative drift wave turbulence journal April 1991
Interactions of disparate scales in drift-wave turbulence journal December 2000
Dynamics of zonal flow saturation in strong collisionless drift wave turbulence journal November 2002
Stochastic closure for nonlinear Rossby waves journal October 1977
Plasma Edge Turbulence journal February 1983
On the validity of the local diffusive paradigm in turbulent plasma transport journal August 2010
Self-organization of zonal flows and isotropic eddies in toroidal electron temperature gradient driven turbulence journal August 2020
First Evidence of the Role of Zonal Flows for the L H Transition at Marginal Input Power in the EAST Tokamak journal September 2011
Coherent structures in ion temperature gradient turbulence-zonal flow journal October 2014
Generalized action invariants for drift waves-zonal flow systems journal December 1999
Generation of zonal flows through symmetry breaking of statistical homogeneity journal March 2014
How mesoscopic staircases condense to macroscopic barriers in confined plasma turbulence journal November 2016
Theory of mean poloidal flow generation by turbulence journal July 1991
Collisional Scaling of the Energy Transfer in Drift-Wave Zonal Flow Turbulence journal January 2017
The modulational instability in the extended Hasegawa-Mima equation with a finite Larmor radius journal December 2012
Experimental Evidence of Self-Regulation of Fluctuations by Time-Varying Flows journal January 2002
Streamer and zonal flow generation from envelope modulations in drift wave turbulence journal September 2001
Zonal flow triggers the L-H transition in the Experimental Advanced Superconducting Tokamak journal July 2012
Dynamics of axisymmetric and poloidal flows in tokamaks journal January 1999
Field theoretical techniques in statistical fluid dynamics: With application to nonlinear wave dynamics journal April 1982
Drift waves and transport journal April 1999
Two-layer quasi-geostrophic turbulence in a simple special case journal January 1978
Excitation of zonal flow by drift waves in toroidal plasmas journal August 2000
Role of Zonal Flow Predator-Prey Oscillations in Triggering the Transition to H-Mode Confinement journal April 2012
Zonal flow generation in parallel flow shear driven turbulence journal March 2017
Zonal flow generation in ion temperature gradient mode turbulence journal November 2002
Direct measurement of zonal flows and geodesic acoustic mode oscillations in ASDEX Upgrade using Doppler reflectometry journal July 2005
Self-Regulating Shear Flow Turbulence: A Paradigm for the L to H Transition journal April 1994
Radial Structure of Reynolds Stress in the Plasma Boundary of Tokamak Plasmas journal September 1999
Momentum theorems and the structure of atmospheric jets and zonal flows in plasmas journal November 2008
Spatiotemporal Structure of the Interaction between Turbulence and Flows at the L-H Transition in a Toroidal Plasma journal December 2011
Zonal flow as pattern formation journal October 2013
Physical Mechanism behind Zonal-Flow Generation in Drift-Wave Turbulence journal October 2009
Poloidal Flow Driven by Ion-Temperature-Gradient Turbulence in Tokamaks journal January 1998
Coherent Structure Phenomena in Drift Wave–Zonal Flow Turbulence journal January 2000
Inertial Ranges in Two-Dimensional Turbulence journal January 1967
Pseudo-three-dimensional turbulence in magnetized nonuniform plasma journal January 1978
A Simple Model of Intermittency in Drift Wave-Zonal Flow Turbulence journal January 2001
Role of ion diamagnetic effects in the generation of large scale flows in toroidal ion temperature gradient mode turbulence journal January 2000
Identification of Zonal Flows in a Toroidal Plasma journal October 2004
Observation and characterization of radially sheared zonal flows in DIII-D journal November 2003
A collisional drift wave description of plasma edge turbulence journal January 1984
Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes journal July 1994
A review of zonal flow experiments journal December 2008
Modulational instability of Rossby and drift waves and generation of zonal jets journal May 2010
Experimental characterization of coherent, radially-sheared zonal flows in the DIII-D tokamak journal May 2003
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
Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations journal September 1998
Transport theory of phase space zonal structures journal February 2019
Astrophysical Fluid Dynamics via Direct Statistical Simulation journal January 2011
Generalized Quasilinear Approximation: Application to Zonal Jets journal May 2016
Gyrokinetic simulations in general geometry and applications to collisional damping of zonal flows journal May 2000
Dynamics of zonal shear collapse with hydrodynamic electrons journal June 2018
Suppression of turbulence and transport by sheared flow journal January 2000
On the nature of bursting in transport and turbulence in drift wave–zonal flow systems journal December 2001
Zonal Flows and Transient Dynamics of the L H Transition journal May 2003
Physics of zonal flows journal May 2006
Waves and turbulence on a beta-plane journal June 1975
Zonal flows and pattern formation journal July 2015
Nonlinear saturation and oscillations of collisionless zonal flows journal June 2019
3D field induced collisionless zonal flow decay in tokamak plasmas journal December 2017
Role of parallel compression in potential vorticity mixing and zonal flow generation: a gyrokinetic simulation study journal January 2019
Long-range correlations and edge transport bifurcation in fusion plasmas journal May 2011

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