The Low Pressure Plane Symmetric Discharge

Harrison, Edward; Thompson, W. B.

doi:10.1088/0370-1328/74/2/301

Cited by 267 publications

(176 citation statements)

References 7 publications

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“…However, this rather week instability having the growth rate ∼ √ m e /M i ω pi , where ω pi is the ion Langmuir frequency, is stabilized even by relatively modest 'warming' of the ions (Mikhailovskii 1974) and can hardly have any effect in the tokamak plasma. By treating the 'warm', but still collisionless, ions kinetically and taking into account only the linear correction to the ion distribution function at ϕ → 0, Harrison & Thompson (1959) have shown that the 'Bohm condition' can be written as…”

Section: Terminologymentioning

confidence: 99%

Physics of ultimate detachment of a tokamak divertor plasma

Krasheninnikov¹,

2017

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The basic physics of the processes playing the most important role in divertor plasma detachment is reviewed. The models used in the two-dimensional edge plasma transport codes that are widely used to address different issues of the edge plasma physics and to simulate the experimental data, as well as the numerical schemes and convergence issues, are described. The processes leading to ultimate divertor plasma detachment, the transition to and the stability of the detached regime, as well as the impact of the magnetic configuration and divertor geometry on detachment, are considered. A consistent, integral physical picture of ultimate detachment of a tokamak divertor plasma is developed.

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Section: Terminologymentioning

confidence: 99%

Physics of ultimate detachment of a tokamak divertor plasma

Krasheninnikov¹,

2017

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“…In [1] the solution of the plasma equation was obtained in series form for various geometrical configurations of the walls (plane, cylindrical, spherical) and for various dependences of ion generation on electron density. An analytical solution of the plasma equation for the collisionless case in plane geometry was obtained by Harris and Thompson [2]. In their study, the plasma equation was reduced to a form that admits using the Schloemlich integral transform [3].…”

Section: Introductionmentioning

confidence: 99%

“…The Harrison and Thompson model [2] applies to a collisionless plasma with a "cold" ion source. The plasma-sheath equation for a finite-temperature ion source S i ( , )~exp( ) ξ η η η − was obtained in [4].…”

Section: Introductionmentioning

confidence: 99%

Boundary function method to find the asymptotic solution of the plasma—sheath equation

Filippychev¹

2006

Comput Math Model

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We consider the asymptotic solution of the Tonks-Langmuir integro-different equation with an Emmert kernel, which describes the behavior of the potential both inside the main plasma volume and in a thin boundary layer. Equations of this type are singularly perturbed due to the small coefficient at the highest order (second) derivative. The asymptotic solution is obtained by the boundary function method. Equations are derived for the first two coefficients in the regular expansion series and in the boundary function expansion. The equation for the first coefficient of the regular series has only a trivial solution. Second-order differential equations are obtained for the first two boundary functions. The equation for the first boundary function is solved numerically on a discrete grid with locally uniform spacing. An approximate analytical expression for the first boundary function is obtained from the linearized equation. This solution adequately describes the behavior of the potential on small distances only.

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“…The filling gas pressure and the ion and electron densities are assumed to be low enough for one to neglect collisions within the sheath. In this case the acceleration of the ions inside the sheath is given by dvi q 0 U dt mi 3x (1) where v~(x, t) is the ion velocity and U(x, t) is the electric potential.…”

Section: The Modelmentioning

confidence: 99%