Stability of a Circular Toroidal Plasma under Average Magnetic Well Conditions

A simplified analytical form of the on-axis magnetic well and Mercier's criterion for interchange instabilities for arbitrary three-dimensional magnetic field geometries is derived. For this purpose, a near-axis expansion based on a direct coordinate approach is used by expressing the toroidal magnetic flux in terms of powers of the radial distance to the magnetic axis. For the first time, the magnetic well and Mercier's criterion are then written as a one-dimensional integral with respect to the axis arclength. When compared with the original work of Mercier, the derivation here is presented using modern notation and in a more streamlined manner that highlights essential steps. Finally, these expressions are verified numerically using several quasisymmetric and non-quasisymmetric stellarator configurations including Wendelstein 7-X.

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The upgraded TOMAS device: A toroidal plasma facility for wall conditioning, plasma production, and plasma–surface interaction studies

Review of Scientific Instruments ◽

10.1063/5.0033229 ◽

2021 ◽

Vol 92 (2) ◽

pp. 023506

Author(s):

A. Goriaev ◽

T. Wauters ◽

S. Möller ◽

R. Brakel ◽

S. Brezinsek ◽

...

Keyword(s):

Surface Interaction ◽

Plasma Production ◽

Plasma Surface ◽

Toroidal Plasma ◽

Interaction Studies

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Equilibrium of a toroidal plasma inside two concentric conducting shells

The Physics of Fluids ◽

10.1063/1.1694516 ◽

1973 ◽

Vol 16 (8) ◽

pp. 1329 ◽

Cited By ~ 1

Author(s):

J. C. Hosea

Keyword(s):

Toroidal Plasma

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Toroidal plasma configuration with anisotropic pressure

Journal of Plasma Physics ◽

10.1017/s0022377800012526 ◽

1987 ◽

Vol 38 (2) ◽

pp. 209-222 ◽

Cited By ~ 6

Author(s):

Hussain M. Rizk

Keyword(s):

General Expression ◽

Magnetic Surface ◽

Anisotropic Pressure ◽

Mean Velocity ◽

Magnetohydrodynamic Equation ◽

Toroidal Plasma ◽

Hydrodynamic Calculations ◽

The Mean ◽

The One ◽

Plasma Configuration

The relation between various surface quantities required in hydrodynamic calculations, and the relation between the parallel and perpendicular currents in an arbitrary magnetic toroidal plasma configuration with scalar pressure, are generalized to the case of anisotropic pressure. Magnetic co-ordinates for hydrodynamic equilibria in this configuration are defined. A general expression for the mean velocity of diffusion through a magnetic surface, on the basis of the one-fluid magnetohydrodynamic equation with anisotropic pressure, is derived.

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Experimental study of force-free, collinear plasma structures

Journal of Plasma Physics ◽

10.1017/s0022377800007285 ◽

1973 ◽

Vol 9 (1) ◽

pp. 1-15 ◽

Cited By ~ 20

Author(s):

E. E. Nolting ◽

P. E. Jindra ◽

D. R. Wells

Keyword(s):

Magnetic Field ◽

Experimental Study ◽

Magnetic Fields ◽

Flow Fields ◽

Diagnostic Techniques ◽

Field Configuration ◽

Magnetic Mirror ◽

Magnetic Field Configuration ◽

Magnetic Barrier ◽

Magnetic Well

Detailed measurements of the trapped magnetic fields and currents in plasma structures generated by conical theta-pinches are reported. Studies of these structures interacting with a magnetic barrier, and with each other in a collision at the centre of a magnetic mirror, are reported. The magnetic well formed by the collision has been studied by simultaneous use of several diagnostic techniques. The measurements are in agreement with a force-free, collinear magnetic field configuration (Wells 1972). Arguments relating superposability and collinearity of flow fields to these observations are given.

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Investigation of the perpendicular dynamics of drift-wave turbulence in a toroidal plasma with multi-probe arrays

Plasma Sources Science and Technology ◽

10.1088/0963-0252/17/2/024007 ◽

2008 ◽

Vol 17 (2) ◽

pp. 024007 ◽

Cited By ~ 13

Author(s):

M Ramisch ◽

E Häberle ◽

N Mahdizadeh ◽

U Stroth

Keyword(s):

Wave Turbulence ◽

Drift Wave Turbulence ◽

Toroidal Plasma ◽

Drift Wave

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Quasi-static modes of oscillation of a cold toroidal plasma

Journal of Plasma Physics ◽

10.1017/s0022377800025502 ◽

1975 ◽

Vol 14 (1) ◽

pp. 25-37 ◽

Cited By ~ 8

Author(s):

John D. Love

Keyword(s):

Dispersion Relation ◽

Cross Section ◽

Normal Modes ◽

Toroidal Plasma ◽

Cylindrical Plasma ◽

Aspect Ratios ◽

Plasma Ring ◽

Toroidal Geometry

The normal modes of oscillation of a cold dielectric plasma ring are analysed in the quasi-electrostatic approximation. An exact dispersion relation is derived, valid for all aspect ratios. Its solutions are shown to be extremely close to those of an infinite cylindrical plasma with cross-section equal to the minor cross-section of the ring, when the cylinder is considered as a wavelength-preserving limit of the toroidal geometry.

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