Resistive Wall Mode (RWM)

Igochine, V.

doi:10.1007/978-3-662-44222-7_6

Cited by 2 publications

(7 citation statements)

References 101 publications

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“…The principal question here is whether or not the wall can only slow down the mode growth rate (compared to the ‘no-wall’ case) without other influences on the plasma stability. The latter viewpoint dominates in the RWM studies [1, 2, 10–16, 18, 20–25, 29–37, 40–46, 50, 52, 57–64, 68, 73]. It is supported by the theorem proved for a dissipationless plasma in the paper [74], which compels us to look for some dissipation inside the plasma [10, 14, 16, 23, 25, 32, 36, 50–64] as a reason for higher stability limits due to the rotational stabilization.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The first question can be reformulated to whether the plasma reacts to as a linear system? In view of the practical applications, this can be also discussed in terms of the mode rigidity [10, 17, 24, 40, 44, 73, 90, 93, 105, 106] which means the invariance of the mode structure in the plasma at fixed parameters of the equilibrium configuration during magnetic feedback stabilization and/or error field correction [105].…”

Section: Plasma Responsementioning

confidence: 99%

“…Equation (12.1) is free from any assumption on the plasma because it is derived from the Maxwell equations only. Therefore, the diagnostics based on measurements of combined with (12.1) can be a universal tool in testing various theoretical predictions and suggestions such as the linear plasma response and possible mode rigidity [10, 17, 24, 40, 106]. Equation (12.1) can also be used to complement the methods of detecting the approach to the stability boundary in tokamaks, stellarators and pinches.…”

Section: Separation Of the Plasma Response From The Magnetic Signalsmentioning

confidence: 99%

“…Such extensions are usually explained as incorporating some dissipation or non-ideal MHD effects and plasma rotation [2, 10–16, 18–21, 23, 25, 28, 29, 32–38, 40, 45, 50–64, 75, 100, 118, 133, 136–143]. This brings a variety of possibilities.…”

Section: Ideal Versus Non-ideal Mhdmentioning

confidence: 99%

“…Simple theoretical estimates show that, in the frame of ideal magnetohydrodynamics (MHD), the RWMs cannot be stabilized by the plasma rotation [31][32][33][34]. At the same time, there is a contrary opinion that, when the mode rotates fast enough, the resistive wall must behave like an ideal conductor and stabilize the mode [1,12,17,23,[35][36][37][38][39][40]. The experimental results, however, fall in between [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Plasma stability theory including the resistive wall effects

Pustovitov

2015

J. Plasma Phys.

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Plasma stabilization due to a nearby conducting wall can provide access to better performance in some scenarios in tokamaks. This was proved by experiments with an essential gain in${\it\beta}$and demonstrated as a long-lasting effect at sufficiently fast plasma rotation in the DIII-D tokamak (see, for example, Straitet al.,Nucl. Fusion, vol. 43, 2003, pp. 430–440). The rotational stabilization is the central topic of this review, though eventually the mode rotation gains significance. The analysis is based on the first-principle equations describing the energy balance with dissipation in the resistive wall. The method emphasizes derivation of the dispersion relations for the modes which are faster than the conventional resistive wall modes, but slower than the ideal magnetohydrodynamics modes. Both the standard thin wall and ideal-wall approximations are not valid in this range. Here, these are replaced by an approach incorporating the skin effect in the wall. This new element in the stability theory makes the energy sink a nonlinear function of the complex growth rate. An important consequence is that a mode rotating above a critical level can provide a damping effect sufficient for instability suppression. Estimates are given and applications are discussed.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Plasma Responsementioning

confidence: 99%

Section: Separation Of the Plasma Response From The Magnetic Signalsmentioning

confidence: 99%

Section: Ideal Versus Non-ideal Mhdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Plasma stability theory including the resistive wall effects

Pustovitov

2015

J. Plasma Phys.

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Energy principle for the modes interacting with a resistive wall in toroidal systems

Pustovitov¹

2015

Nucl. Fusion

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A theoretical approach to studying the plasma stability in toroidal systems with a resistive wall is developed. The energy principle of the ideal magnetohydrodynamics (MHD) is based on the energy conservation. The dissipation in the wall breaks this fundamental property, but can be incorporated into the mathematical frame of the standard stability theory. Such extension is presented here. With a resistive wall the system becomes open that couples the task with calculation of additional sinks in and behind the wall. The derivations are performed without restrictions on the mode nature, aspect ratio and plasma/wall shape. General estimates are given with emphasis on applications of the derived torque–energy balance to MHD events faster than the conventional resistive wall modes (RWMs). In this dynamic range, the skin effect in the wall must be strong. This fact is used here for evaluation of the dissipative term. Finally the latter is expressed through the ideal-wall asymptote for the magnetic perturbation. Then the result gives a dispersion relation for the RWMs far from the no-wall stability boundary with a smooth transition to the ideal MHD instabilities.

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Resistive Wall Mode (RWM)

Cited by 2 publications

References 101 publications

Plasma stability theory including the resistive wall effects

Plasma stability theory including the resistive wall effects

Energy principle for the modes interacting with a resistive wall in toroidal systems

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