scholarly journals Erratum: “Control of solitary-drift-wave formation by radial density gradient in laboratory magnetized cylindrical plasma” [Phys. Plasmas 26, 072304 (2019)]

2019 ◽  
Vol 26 (12) ◽  
pp. 129901
Author(s):  
Feng-Jen Chang ◽  
Eiichirou Kawamori
2020 ◽  
Vol 86 (4) ◽  
Author(s):  
Hongxuan Zhu ◽  
Yao Zhou ◽  
I. Y. Dodin

The Dimits shift is the shift between the threshold of the drift-wave primary instability and the actual onset of turbulent transport in a magnetized plasma. It is generally attributed to the suppression of turbulence by zonal flows, but developing a more detailed understanding calls for consideration of specific reduced models. The modified Terry–Horton system has been proposed by St-Onge (J. Plasma Phys., vol. 83, 2017, 905830504) as a minimal model capturing the Dimits shift. Here, we use this model to develop an analytic theory of the Dimits shift and a related theory of the tertiary instability of zonal flows. We show that tertiary modes are localized near extrema of the zonal velocity $U(x)$ , where $x$ is the radial coordinate. By approximating $U(x)$ with a parabola, we derive the tertiary-instability growth rate using two different methods and show that the tertiary instability is essentially the primary drift-wave instability modified by the local $U'' \doteq {\rm d}^2 U/{\rm d} x^2 $ . Then, depending on $U''$ , the tertiary instability can be suppressed or unleashed. The former corresponds to the case when zonal flows are strong enough to suppress turbulence (Dimits regime), while the latter corresponds to the case when zonal flows are unstable and turbulence develops. This understanding is different from the traditional paradigm that turbulence is controlled by the flow shear $| {\rm d} U / {\rm d} x |$ . Our analytic predictions are in agreement with direct numerical simulations of the modified Terry–Horton system.


2010 ◽  
Vol 17 (3) ◽  
pp. 032302 ◽  
Author(s):  
Z. Yan ◽  
G. R. Tynan ◽  
C. Holland ◽  
M. Xu ◽  
S. H. Müller ◽  
...  

1995 ◽  
Vol 12 (2) ◽  
pp. 153-158 ◽  
Author(s):  
D. L. Hall ◽  
M. L. Duldig ◽  
J. E. Humble

AbstractThe radial density gradient (Gr) of Galactic cosmic rays in the ecliptic plane points outward from the Sun. This indicates an increasing density of cosmic ray particles beyond the Earth’s orbit. Due to this gradient and the direction of the Sun’s interplanetary magnetic field (IMF) above and below the IMF wavy neutral sheet, there exists an anisotropic flow of cosmic ray particles approximately perpendicular to the ecliptic plane (i.e. in the direction parallel to BIMF × Gr). This effect is called the north–south anisotropy (ξNS) and manifests as a diurnal variation in sidereal time in the particle intensity recorded by a cosmic ray detector. By analysing the yearly averaged sidereal diurnal variation recorded by five neutron monitors and six muon telescopes from 1957 to 1990, we have deduced probable values of the average rigidity spectrum and magnitude of ξNS. Furthermore, we have used determined yearly amplitudes of ξNS to infer the magnitude of Gr for particles with rigidities in excess of 10 GV.


1992 ◽  
Vol 4 (7) ◽  
pp. 1754-1765 ◽  
Author(s):  
M. Wakatani ◽  
K. Watanabe ◽  
H. Sugama ◽  
A. Hasegawa

Author(s):  
D. A. Anchikov ◽  
V. A. Gusev ◽  
I. P. Zavershinskii ◽  
V. G. Makaryan ◽  
S. S. Sugak

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