Neoclassical diffusion in helical solenoids

Kalyuzhnyj, V. N.; Kryukov, A. V.; Nemov, V. V.

doi:10.1088/0029-5515/18/11/001

Cited by 3 publications

(3 citation statements)

References 2 publications

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“…In accordance with Refs [3,4], neoclassical diffusion due to toroidal banana drift across the magnetic surfaces in a helical solenoid can be considered conveniently by using the banana kinetic equation:…”

Section: Basic Equationsmentioning

confidence: 95%

“…Plasma transport phenomena in helical solenoids were discussed within the framework of the neoclassical diffusion theory [3][4][5]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…It is this regime which may prove to be important for future fusion reactors based on helical solenoids. In Refs [3,4], we studied the transport coefficients due to toroidal banana drift in situations where the effective collision frequency is higher than the frequency of banana precession about the magnetic axis.…”

Section: Introductionmentioning

confidence: 99%

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The toroidal banana drift regime of neoclassical diffusion in helical solenoids

Kalyuzhnyj¹,

Nemov²

1984

Nucl. Fusion

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Section: Basic Equationsmentioning

confidence: 95%

“…Plasma transport phenomena in helical solenoids were discussed within the framework of the neoclassical diffusion theory [3][4][5]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

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The toroidal banana drift regime of neoclassical diffusion in helical solenoids

Kalyuzhnyj¹,

Nemov²

1984

Nucl. Fusion

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Plateau and banana diffusion regimes in traps with a helical magnetic axis

Kalyuzhnyj¹,

Nemov²

1979

Nucl. Fusion

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The neoclassical diffusion of a plasma in traps with a helical magnetic axis is investigated theoretically in the regime where the effective trapped-particle collision frequency s of the order of the frequency of trapped-particle oscillations i between the magnetic mirrors. It is shown that in the case considered a formal analogy with the neoclassical transport theory of axisymmetric systems exists. It allows particle and heat fluxes to be obtained, without special calculations, by a modification of the corresponding expressions for the transport coefficients in axisymmetric systems. Expressions for the transport coefficients in the plateau and banana diffusion regimes are obtained. – Studies of this kind are important for the problem of plasma containment in stellarator-type traps.

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Neoclassical theory of transport processes in toroidal magnetic confinement systems, with emphasis on non-axisymmetric configurations

1984

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The paper constitutes a review of the neoclassical theory of transport processes in the different types of toroidal magnetic configuration now being used to study the possibility of producing a controlled thermonuclear reaction. Owing to the abundance of the material that has accumulated in recent years and the large number of parameters involved in the problem, it has not been possible to present all the mathematical calculations in detail while confining the results to a few definitive expressions. The general approach to a solution of the problem and its key aspects have been discussed as fully as possible, and a number of definitive results are presented. In the review, a history of the subject and an account of its present status are given, the problem itself is formulated, the basic equations are discussed and analytical solution methods are described. Definitive expressions are given for cross-field particle and energy fluxes, the bootstrap current and conductivity, all of which are required to solve the particle and heat balance equations in magnetic confinement devices. The results are presented in a relatively simple form which is convenient for analysis of the experimental data and are accompanied by tables containing numerical values for the universal coefficients in the definitive expressions. The review is aimed at both theoreticians and experimenters working in high-temperature plasma physics and controlled thermonuclear fusion.

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Neoclassical diffusion in helical solenoids

Cited by 3 publications

References 2 publications

The toroidal banana drift regime of neoclassical diffusion in helical solenoids

The toroidal banana drift regime of neoclassical diffusion in helical solenoids

Plateau and banana diffusion regimes in traps with a helical magnetic axis

Neoclassical theory of transport processes in toroidal magnetic confinement systems, with emphasis on non-axisymmetric configurations

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