Kinetic Analysis of the Localized Magnetohydrodynamic Ballooning Mode

Chu, M. S.; Chu, C. K.; Guest, G.E.; Hsu, Jui‐Ming; Ohkawa, T.

doi:10.1103/physrevlett.41.247

Cited by 29 publications

(29 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As has been discussed in various previous publications (see, e.g., Refs. [21][22][23][24] for the local case; for radially nonlocal investigations, see, e.g., Ref. [25]), the KBM onset can go significantly below the respective MHD value under certain conditions.…”

Section: Linear Kbm Thresholdsmentioning

confidence: 99%

Gyrokinetic turbulence simulations at high plasma beta

2008

View full text Add to dashboard Cite

Electromagnetic gyrokinetic turbulence simulations employing Cyclone Base Case parameters are presented for β values up to and beyond the kinetic ballooning threshold. The β scaling of the turbulent transport is found to be linked to a complex interplay of linear and nonlinear effects.Linear investigation of the kinetic ballooning mode is performed in detail, while nonlinearly, it is found to dominate the turbulence only in a fairly narrow range of β values just below the respective ideal limit. The magnetic transport scales like β 2 and is well described by a Rechester-Rosenbluthtype ansatz.

show abstract

Section: Linear Kbm Thresholdsmentioning

confidence: 99%

Gyrokinetic turbulence simulations at high plasma beta

2008

View full text Add to dashboard Cite

show abstract

“…( 11) the vector ∇S has no component along the unperturbed magnetic field, i.e., B 0 • ∇S = 0. [4,15] The constraint from momentum balance up to order n leads to…”

Section: Flr Ballooning Mode Equationmentioning

confidence: 99%

“…That is, the present model introduces a real frequency into ballooning mode as shown by the previous kinetic theory. [15] After solving the equation numerically, the results indicate that in a high magnetic shear region (ŝ ≥ 0.8) the FLR has a stabilising effect on ballooning modes. Here it is found that the critical pressure gradient (α c,FLR ) is larger than the ideal one (α c,IMHD ) and becomes larger and larger with the increase of FLR parameter b 0 .…”

Section: Introductionmentioning

confidence: 96%

“…In 1978 Chu et al [15] used the kinetic energy principle theory to analyse four kinetic effects (FLR, perturbed electron pressure anisotropy, perturbed ion pressure anisotropy and longitudinal electric field) on the ballooning mode. Their analysis comes to the conclusion that the FLR and perturbed electron pressure anisotropy have stabilising effects, whereas the perturbed ion pressure anisotropy and the longitudinal electric field take on the destabilising effects.…”

Section: Introductionmentioning

confidence: 99%

“…In general one uses the kinetic theory [19] or gyrokinetic formulation [6,15] to study the kinetic effects on the ballooning mode. However, in as early as the 1960s, attempts were made to use MHD theory instead of kinetic theory to study the system in which FLR effects became important: Roberts and Taylor, [20] and Braginskii [21] independently incorporated the FLR effects into the momentum equation of MHD theory via anisotropic ion (FLR) stress tensor, which is always referred to as finite Larmor radius magnetohydrodynamic (FLR MHD) theory.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite Larmor radius magnetohydrodynamic analysis of the ballooning modes in tokamaks

Jiang¹,

Wang²,

Peng³

2010

Chinese Phys. B

View full text Add to dashboard Cite

In this paper, the effect of finite Larmor radius (FLR) on high n ballooning modes is studied on the basis of FLR magnetohydrodynamic (FLR-MHD) theory. A linear FLR ballooning mode equation is derived in an 'ŝ − α' type equilibrium of circular-flux-surfaces, which is reduced to the ideal ballooning mode equation when the FLR effect is neglected. The present model reproduces some basic features of FLR effects on ballooning mode obtained previously by kinetic ballooning mode theories. That is, the FLR introduces a real frequency into ballooning mode and has a stabilising effect on ballooning modes (e.g., in the case of high magnetic shearŝ ≥ 0.8). In particular, some new properties of FLR effects on ballooning mode are discovered in the present research. Here it is found that in a high magnetic shear region (ŝ ≥ 0.8) the critical pressure gradient (α c,FLR) of ballooning mode is larger than the ideal one (α c,IMHD) and becomes larger and larger with the increase of FLR parameter b 0. However, in a low magnetic shear region, the FLR ballooning mode is more unstable than the ideal one, and the α c,FLR is much lower than the α c,IMHD. Moreover, the present results indicate that there exist some new weaker instabilities near the second stability boundary (obtained from ideal MHD theory), which means that the second stable region becomes narrow.

show abstract

Kinetic effect on the magnetohydrodynamic modes with frequency comparable to the ion transit one

Zheng

Tessarotto

1996

Physics Letters A

View full text Add to dashboard Cite

Kinetic Analysis of the Localized Magnetohydrodynamic Ballooning Mode

Cited by 29 publications

References 8 publications

Gyrokinetic turbulence simulations at high plasma beta

Gyrokinetic turbulence simulations at high plasma beta

Finite Larmor radius magnetohydrodynamic analysis of the ballooning modes in tokamaks

Kinetic effect on the magnetohydrodynamic modes with frequency comparable to the ion transit one

Contact Info

Product

Resources

About