Pfirsch-Tasso versus standard approaches in the plasma stability theory including the resistive wall effects

2017 ◽  
Vol 24 (11) ◽  
pp. 112513 ◽  
Author(s):  
V. D. Pustovitov
2015 ◽  
Vol 81 (6) ◽  
Author(s):  
V. D. Pustovitov

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.


2003 ◽  
Vol 43 (9) ◽  
pp. 949-954 ◽  
Author(s):  
G Kurita ◽  
T Tuda ◽  
M Azumi ◽  
S Ishida ◽  
S Takeji ◽  
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Keyword(s):  

1989 ◽  
Vol 39 (9) ◽  
pp. 4749-4757 ◽  
Author(s):  
Govindan Rangarajan ◽  
K. C. D. Chan

1979 ◽  
Vol 21 (1) ◽  
pp. 169-175 ◽  
Author(s):  
Colette Robertson

Finite Larmor radius corrections may be significant in plasma stability theory, and the geometry of the cylindrical pinch is appropriate for theoretical development. The study presented here is limited to calculation of the perturbation of the energy of a particle by a normal mode disturbance. This is found to be complicated when terms proportional to the square of the Larmor radius are retained. It is concluded that stability theory becomes identical with drift wave theory in complex geometry.


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