Gyrokinetic theory of slab universal modes and the nonexistence of the gradient drift coupling (GDC) instability
Abstract
A gyrokinetic linear stability analysis of a collisionless slab geometry in the local approximation is introduced. We focus on k_{∥}=0 universal (or entropy) modes driven by plasma gradients at small and large plasma β. These are small scale nonMHD instabilities with growth rates that typically peak near k_{⊥}ρi~1 and vanish in the long wavelength k_{⊥}→0 limit. This report also discusses a mode known as the Gradient Drift Coupling (GDC) instability previously reported in the gyrokinetic literature, which has a finite growth rate γ= $$\sqrt{β/[2(1+β)]C_{s}/L_{p}}$$ with C$$^{2}_{s}$$ =p_{0}/ρ_{0} for k_{⊥}→0 and is universally unstable for 1/L_{p}≠0. Here, we show that the GDC instability is a spurious, unphysical artifact that erroneously arises due to the failure to respect the total equilibrium pressure balance p_{0}+B$$^{2}_{0}$$ /(8π)=constant, which renders the assumption B$$^{\prime}_{0}$$ 0 =0 inconsistent if p$$^{\prime}_{0}$$ ≠0.
 Authors:

 Dartmouth College, Hanover, NH (United States)
 Publication Date:
 Research Org.:
 Dartmouth College, Hanover, NH (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1540179
 Alternate Identifier(s):
 OSTI ID: 1437336
 Grant/Contract Number:
 SC0010508; DOESC0010508
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 25; Journal Issue: 5; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Rogers, Barrett N., Zhu, Ben, and Francisquez, Manaure. Gyrokinetic theory of slab universal modes and the nonexistence of the gradient drift coupling (GDC) instability. United States: N. p., 2018.
Web. doi:10.1063/1.5024748.
Rogers, Barrett N., Zhu, Ben, & Francisquez, Manaure. Gyrokinetic theory of slab universal modes and the nonexistence of the gradient drift coupling (GDC) instability. United States. doi:10.1063/1.5024748.
Rogers, Barrett N., Zhu, Ben, and Francisquez, Manaure. Wed .
"Gyrokinetic theory of slab universal modes and the nonexistence of the gradient drift coupling (GDC) instability". United States. doi:10.1063/1.5024748. https://www.osti.gov/servlets/purl/1540179.
@article{osti_1540179,
title = {Gyrokinetic theory of slab universal modes and the nonexistence of the gradient drift coupling (GDC) instability},
author = {Rogers, Barrett N. and Zhu, Ben and Francisquez, Manaure},
abstractNote = {A gyrokinetic linear stability analysis of a collisionless slab geometry in the local approximation is introduced. We focus on k∥=0 universal (or entropy) modes driven by plasma gradients at small and large plasma β. These are small scale nonMHD instabilities with growth rates that typically peak near k⊥ρi~1 and vanish in the long wavelength k⊥→0 limit. This report also discusses a mode known as the Gradient Drift Coupling (GDC) instability previously reported in the gyrokinetic literature, which has a finite growth rate γ= $\sqrt{β/[2(1+β)]C_{s}/L_{p}}$ with C$^{2}_{s}$ =p0/ρ0 for k⊥→0 and is universally unstable for 1/Lp≠0. Here, we show that the GDC instability is a spurious, unphysical artifact that erroneously arises due to the failure to respect the total equilibrium pressure balance p0+B$^{2}_{0}$ /(8π)=constant, which renders the assumption B$^{\prime}_{0}$ 0 =0 inconsistent if p$^{\prime}_{0}$ ≠0.},
doi = {10.1063/1.5024748},
journal = {Physics of Plasmas},
number = 5,
volume = 25,
place = {United States},
year = {2018},
month = {5}
}
Web of Science
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