On non-local energy transfer via zonal flow in the Dimits shift

St-Onge, Denis A.

doi:10.1017/S0022377817000708

Title: On non-local energy transfer via zonal flow in the Dimits shift

Journal Article · Tue Oct 10 00:00:00 EDT 2017 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/S0022377817000708· OSTI ID:1412673

^[1]

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

The two-dimensional Terry–Horton equation is shown to exhibit the Dimits shift when suitably modified to capture both the nonlinear enhancement of zonal/drift-wave interactions and the existence of residual Rosenbluth–Hinton states. This phenomenon persists through numerous simplifications of the equation, including a quasilinear approximation as well as a four-mode truncation. It is shown that the use of an appropriate adiabatic electron response, for which the electrons are not affected by the flux-averaged potential, results in an $$\boldsymbol{E}\times \boldsymbol{B}$$ nonlinearity that can efficiently transfer energy non-locally to length scales of the order of the sound radius. The size of the shift for the nonlinear system is heuristically calculated and found to be in excellent agreement with numerical solutions. The existence of the Dimits shift for this system is then understood as an ability of the unstable primary modes to efficiently couple to stable modes at smaller scales, and the shift ends when these stable modes eventually destabilize as the density gradient is increased. This non-local mechanism of energy transfer is argued to be generically important even for more physically complete systems.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1412673

Journal Information:: Journal of Plasma Physics, Vol. 83, Issue 05; ISSN 0022-3778

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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Nonlinear saturation and oscillations of collisionless zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. Zenodo https://doi.org/10.5281/zenodo.2563449	text	January 2019
On the Rayleigh–Kuo criterion for the tertiary instability of zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5038859	journal	August 2018
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Nonlinear saturation and oscillations of collisionless zonal flows Zhu, Hongxuan; Zhou, Yao; Dodin, I. Y. New Journal of Physics, Vol. 21, Issue 6 https://doi.org/10.1088/1367-2630/ab2251	journal	June 2019
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A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Numerical Simulations with Different Aspect Ratios Qi, Di; Majda, Andrew J.; Cerfon, Antoine J. arXiv https://doi.org/10.48550/arxiv.1812.00131	text	January 2018

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