Stability of the screw pinch

Schuurman, W.; Bobeldijk, C.; Vries, R F de

doi:10.1088/0032-1028/11/6/003

Cited by 50 publications

(15 citation statements)

References 7 publications

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“…In particular, a regime of improved global stability is found for l x < 1 (hollow current distribution), ]8 p < 1 (strong paramagnetism) and B z (a) < B^a) (low q(a)). These results are consistent with recent experimental observations in the ULQ discharges reported in Refs [8][9][10], as well as with earlier stability studies of screw pinches with particular profiles [21,22]. The influence of a non-circular shape of the plasma cross-section, as for instance in the Extrap configuration [7], is negligible for relatively flat or peaked current profiles.…”

Section: Profile Effectssupporting

confidence: 92%

Current problems in ball lightning science

Smirnov¹

1990

Sov. Phys. Usp.

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An analytical expression for the eigenvalue of the global m = 1 kink mode in a straight screw pinch with arbitrary profiles of current density and axial magnetic field is derived in a long wavelength approximation of the incompressible ideal MHD equations. While the influence of the current profile is related to the inductance t t of the plasma column, as has been shown previously (Nucl. Fusion 24 (

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Section: Profile Effectssupporting

confidence: 92%

Current problems in ball lightning science

Smirnov¹

1990

Sov. Phys. Usp.

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“…The region of force-free currents surrounding the main plasma column improves the equilibrium and stability properties of the latter. The theoretical characteristics of this configuration have been investigated in Rijnhuizen for many years; the most relevant results are described in Refs [3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Spica

Bobeldijk¹,

Heesch²,

Hoekzema³

et al. 1985

Nucl. Fusion

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“…The hydromagnetic stability of the diffuse linear pinch has been discussed by many authors [1][2][3][4][5][6]. This has yielded magnetic configurations which can be magnetohydrodynamically stable at significant values of 0.…”

Section: Introductionmentioning

confidence: 99%

“…This has yielded magnetic configurations which can be magnetohydrodynamically stable at significant values of 0. These include the tokamak [4], the screw pinch [6] and the reverse-field pinch [5]. All these configurations exhibit, to some degree, kink modes in the experimental devices even when the conditions for ideal hydromagnetic stability are satisfied.…”

Section: Introductionmentioning

confidence: 99%

On the Lamé Point and Its Generalizations in a Normed Space

Garkavi¹,

Šmatkov²

1974

Math. USSR Sb.

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It is demonstrated that tearing-mode-stable diffuse-pinch configurations of the reverse-field pinch type exist at zero 0 for a current-carrying column surrounded by a small vacuum region. The conducting wall plays a vital role in this stability both to m = 0 and m = 1 modes. The core of the plasma, which has to satisfy a resistive-stability criterion, is of the form given by Taylor for a minimum-energy state but the outer region is quite different. Values of the pinch configuration parameter 0 up to 3 are possible, permitting strong Ohmic heating with zero or low current densities near the wall. Such configurations can be stable to ideal hydro magnetic modes for central values of 0 of up to 17% (average )3 35%).

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Stability of the screw pinch

Cited by 50 publications

References 7 publications

Current problems in ball lightning science

Current problems in ball lightning science

Spica

On the Lamé Point and Its Generalizations in a Normed Space

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