Isodynamic axisymmetric equilibrium near the magnetic axis

Arsenin, V. V.

doi:10.1134/s1063780x13070027

Cited by 4 publications

(6 citation statements)

References 8 publications

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“…Similarly to the Andreoletti-Furth trap [3,30] and the Logan stabilizer [31], the Arsenin trap has an annular plasma (say a layer between lines 1 and 2 in figure 3). It has been shown by Arsenin that the compensation of curvatures of the opposite sign leads to the stability being similar to the average min B [23][24][25]. Here one can observe that even a partial compensation results in the magnification of the critical stable pressure gradient in the max B region.…”

Section: The Essence Of the Stabilization Effectmentioning

confidence: 50%

“…The stabilizing effect of the magnetic field line alternatingsign curvature was found by Arsenin [23][24][25] by analysing a tandem mirror-cusp using the kinetic approach (3). Similarly to the Andreoletti-Furth trap [3,30] and the Logan stabilizer [31], the Arsenin trap has an annular plasma (say a layer between lines 1 and 2 in figure 3).…”

Section: The Essence Of the Stabilization Effectmentioning

confidence: 99%

“…Here one can observe that even a partial compensation results in the magnification of the critical stable pressure gradient in the max B region. Also, the requirement of a given cusp to mirror pressure ratio, developed in [23][24][25], is not necessary for this type of pressure profile peaking.…”

Section: The Essence Of the Stabilization Effectmentioning

confidence: 99%

“…It is worth noting that such configurations have already been considered earlier (see [19]), but not analysed in detail. So the generalized 'kinetic' criterion for plasma interchange stability [7,[20][21][22] has been applied for a model geometry, low or large mirror ratio, etc [8,[23][24][25][26][27]. Now one can perform calculations for real magnetic confinement systems of practical interest [28].…”

Section: Introductionmentioning

confidence: 99%

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Internal plasma pressure peaking in low-shear open and closed magnetic confinement systems

Tsventoukh¹

2011

Nucl. Fusion

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The plasma convective (flute-interchange) stability for low magnetic shear systems, with a low collisionality and a low beta, is considered in terms of the necessary and sufficient collisionless kinetic criterion. The magnetic confinement systems under consideration are axially symmetric mirrors equipped with outer divertors and inner field reversing rings (cusps, internal rings, high-beta cells) and closed multimirror traps. A simple approach is proposed for plasma stabilization resulting in a substantial steepening of the critical pressure profile. The essence is the combination of the plasma stabilization by a strong and an alternating-sign field-line curvature. Axially symmetric tandem mirror systems composed of a mirror device having an outer divertor and an inner field reversing ring are shown to have an internal radially peaked stable pressure profile. Bumpy tori are also shown to have an internally peaked stable pressure profile.

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Section: The Essence Of the Stabilization Effectmentioning

confidence: 50%

Section: The Essence Of the Stabilization Effectmentioning

confidence: 99%

Section: The Essence Of the Stabilization Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Internal plasma pressure peaking in low-shear open and closed magnetic confinement systems

Tsventoukh¹

2011

Nucl. Fusion

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“…The specific stability of the plasma layers due to the alternating-sign field-line curvature effect has been found by Arsenin [16][17][18]. Now we can evaluate a certain stable plasma pressure profile for a given magnetic confinement system [19,20], and compare with the measurements of an experimental device with a strong curvature Magnetor [21][22][23].…”

Section: Introductionmentioning

confidence: 81%

Plasma confinement by magnetic field with convex-concave field lines

2015

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It has been found that plasma confinement by the magnetic field of alternating-sign curvature with convex-concave field lines results in a strong stabilizing action against convective (flute-interchange) perturbations. For simple combinations of axisymmetric mirrors and cusps the calculations according to the kinetic stability criterion give strongly, centrally peaked stable plasma pressure profiles instead of shallow ones. For the experimental research of this effect, a compact magnetic confinement device has been modified by adding of the external current coil to fulfil the field-line curvature requirements. The critical convectively-stable plasma pressure profiles calculation in this experimental geometry and the probe measurements of the spatial plasma distribution in the new magnetic configuration of alternating-sign curvature have been performed. The experimental results give some support for a conclusion that there is an increase in the ion saturation current at the region near the minimum of the specific volume min ∫ dl/B. This region corresponds to the average minimum in the second adiabatic invariant, and the kinetic description predicts the stable pressure profile peaking here due to reduction of charge separation by particle drift in alternating-sign curvature.

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Stable anisotropic plasma confinement in magnetic configurations with convex–concave field lines

Tsventoukh¹

2014

Nucl. Fusion

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It is shown that a combination of the convex and the concave part of a field line provides a strong stabilizing action against convective (flute-interchange) plasma instability (Tsventoukh 2011 Nucl. Fusion 51 112002). This results in internal peaking of the stable plasma pressure profile that is calculated from the collisionless kinetic stability criterion for any magnetic confinement system with combination of mirrors and cusps. Connection of the convex and concave field line parts results in a reduction of the space charge that drives the unstable E × B motion, as there is an opposite direction of the particle drift in a non-uniform field at convex and concave field lines. The pressure peaking arises at the minimum of the second adiabatic invariant J that takes place at the ‘middle’ of a tandem mirror–cusp transverse cross-section. The position of the minimum in J varies with the particle pitch angle that results in a shift of the peaking position depending on plasma anisotropy. This allows one to improve a stable peaked pressure profile at a convex–concave field by changing the plasma anisotropy over the trap cross-section. Examples of such anisotropic distribution functions are found that give an additional substantial enhancement in the maximal central pressure. Furthermore, the shape of new calculated stable profiles has a wide central plasma layer instead of a narrow peak.

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Isodynamic axisymmetric equilibrium near the magnetic axis

Cited by 4 publications

References 8 publications

Internal plasma pressure peaking in low-shear open and closed magnetic confinement systems

Internal plasma pressure peaking in low-shear open and closed magnetic confinement systems

Plasma confinement by magnetic field with convex-concave field lines

Stable anisotropic plasma confinement in magnetic configurations with convex–concave field lines

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