scholarly journals Lagrangian neoclassical transport theory applied to the region near the magnetic axis

2002 ◽  
Vol 9 (9) ◽  
pp. 3946-3960 ◽  
Author(s):  
Shinsuke Satake ◽  
Masao Okamoto ◽  
Hideo Sugama
Keyword(s):  
Transport Theory ◽  
Magnetic Axis ◽  
Neoclassical Transport

scholarly journals Magnetic well and Mercier stability of stellarators near the magnetic axis

2020 ◽  
Vol 86 (5) ◽  
Author(s):  
Matt Landreman ◽  
Rogerio Jorge
Keyword(s):  
Stability Criterion ◽  
Arbitrary Shape ◽  
Small Distance ◽  
Magnetic Axis ◽  
Design Approach ◽  
Ideal Condition ◽  
Independent Variables ◽  
Neoclassical Transport ◽  
Major Radius ◽  
Magnetic Well

We have recently demonstrated that by expanding in small distance from the magnetic axis compared with the major radius, stellarator shapes with low neoclassical transport can be generated efficiently. To extend the utility of this new design approach, here we evaluate measures of magnetohydrodynamic interchange stability within the same expansion. In particular, we evaluate the magnetic well, Mercier's criterion, and resistive interchange stability near a magnetic axis of arbitrary shape. In contrast to previous work on interchange stability near the magnetic axis, which used an expansion of the flux coordinates, here we use the ‘inverse expansion’ in which the flux coordinates are the independent variables. Reduced expressions are presented for the magnetic well and stability criterion in the case of quasisymmetry. The analytic results are shown to agree with calculations from the VMEC equilibrium code. Finally, we show that near the axis, Glasser, Greene and Johnson's stability criterion for resistive modes approximately coincides with Mercier's ideal condition.

scholarly journals NEOCLASSICAL TRANSPORT THEORY OF A MULTICOMPONENT PLASMA

1984 ◽  
Vol 33 (3) ◽  
pp. 309
Author(s):  
ZHOU HAI-LIN
Keyword(s):  
Transport Theory ◽  
Multicomponent Plasma ◽  
Neoclassical Transport

scholarly journals Moment equation approach to neoclassical transport theory

1977 ◽  
Author(s):  
S.P. Hirshman
Keyword(s):  
Transport Theory ◽  
Moment Equation ◽  
Equation Approach ◽  
Neoclassical Transport

scholarly journals Two-dimensional transport of tokamak plasmas. [Neoclassical transport theory]

1978 ◽  
Author(s):  
S.P. Hirshman ◽  
S.C. Jardin
Keyword(s):  
Transport Theory ◽  
Tokamak Plasmas ◽  
Two Dimensional ◽  
Neoclassical Transport

scholarly journals Neoclassical transport theory of a multispecies plasma in the low collision frequency regime

1976 ◽  
Vol 19 (5) ◽  
pp. 656 ◽  
Author(s):  
S. P. Hirshman ◽  
D. J. Sigmar ◽  
J. F. Clarke
Keyword(s):  
Transport Theory ◽  
Collision Frequency ◽  
Neoclassical Transport ◽  
Frequency Regime

scholarly journals Lagrangian formulation of neoclassical transport theory

1983 ◽  
Vol 26 (6) ◽  
pp. 1488 ◽  
Author(s):  
Ira B. Bernstein
Keyword(s):  
Transport Theory ◽  
Lagrangian Formulation ◽  
Neoclassical Transport

scholarly journals Neoclassical transport theory of a multispecies plasma in the low collision frequency regime

1975 ◽  
Author(s):  
S. P. Hirshman ◽  
D. J. Sigmar ◽  
J. F. Clarke
Keyword(s):  
Transport Theory ◽  
Collision Frequency ◽  
Neoclassical Transport ◽  
Frequency Regime
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