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  • 1
    Electronic Resource
    Electronic Resource
    Ionospheric plasma flow over large high-voltage space platforms. I: Ion-plasma–time scale interactions of a plate at zero angle of attack (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1597-1614 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Theory and particle simulation results are presented for the ionospheric plasma flow over large, high-voltage space platforms. In this paper, dynamic interactions of a negatively biased plate at a zero angle of attack on the ion-plasma–time scale are emphasized. Results of the transient plasma response to a rapid surface potential change show that ion-acoustic disturbances are generated by the leading edge, and they evolve to form a Mach wedge expansion fan. The transient ion current exhibits a strong overshoot in the first few ion-plasma periods. It is shown that the current overshoot is due to the ions trapped within the initial sheath, and its magnitude is proportional to the plate dimension and the square root of the surface voltage. Simulations of time-dependent interactions of a plate connected to external circuits are also performed. A rapidly changing voltage source may cause a very complex transient current and surface voltage due to the coupling of the transient plasma and circuit properties. Interactions of a plate with electron beam emissions are also studied, and the beam effects on the sheath structure and ion current collection are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.860069
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  • 2
    Electronic Resource
    Electronic Resource
    Ionospheric plasma flow over large high-voltage space platforms. II: The formation and structure of plasma wake (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 1615-1629 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Theory and particle simulation results are presented for ionospheric plasma flow over large high-voltage space platforms at a large angle of attack. Both the transient formation of the space-charge wake and its steady-state structure are studied. The wake-side ion impact and current collection are obtained. It is found that the wake behind a high-voltage plate is characterized by two ion-rich sheaths embedded in a quasineutral background wake. The embedded sheath is formed by the ions passing through the sheath around the plate edge and serves as their trajectory path. Depending on the surface potential, the plate dimension, and the angle of attack, the embedded sheath may either extend downstream or curve back to form a "hook'' structure. As a result, the plate's wake-side surface may receive a high, localized ion flux at the location the embedded sheath strikes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.860070
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  • 3
    Electronic Resource
    Electronic Resource
    Bifurcation phenomena and the radial electric field in a nonaxisymmetric plasma (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 536-543 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The radial electric field in a nonaxisymmetric plasma is known to be a multivalued function of the plasma state. It is shown that the theorem of minimum entropy production rate cannot be used to distinguish between different electric field solutions. The possibility of bifurcation phenomena in the coupled electric field, density, and temperature equations are examined. It is shown that the functional dependence of the plasma source can strongly influence the type of bifurcation that can occur.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865442
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  • 4
    Electronic Resource
    Electronic Resource
    Superbanana plateau regime transport in a multiple-helicity torsatron and a bumpy torus (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 1402-1408 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytic expression for the neoclassical flux valid in both a multiple-helicity torsatron and a bumpy torus in the superbanana plateau regime is obtained. The expression is valid for arbitrary values of Φ', the radial electric field, ∂εH/∂r with εH the effective helical modulation or bumpiness, and ∂εT/∂r with εT the effective toroidal modulation. When small mirror force terms are included in the flux, a nonlinear first-order ordinary differential equation in Φ' is obtained from the ambipolarity relationship.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.864974
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  • 5
    Electronic Resource
    Electronic Resource
    Azimuthal electric fields and ambipolarity in a multiple-helicity torsatron (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 1409-1414 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In a torsatron there are multiple solutions to the ambipolarity relationship for the electric field. If the electric field is small over some region of space then the self-consistent poloidal electric field can be important and lead to potential islands. If the plasma is in the superbanana plateau regime, then slow resonant particles limit the rate of change of the electric field and, hence, give a minimum width for the spatial zone where the plasma is changing roots of the ambipolarity relationship.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.864975
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  • 6
    Electronic Resource
    Electronic Resource
    Additive noise and the radial electric field in systems with convective and diffusive losses (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 2219-2221 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The charge balance equation in systems with convective and diffusive losses is a nonlinear differential equation that is known to possess multiple solutions. A functional of the potential, which can be identified as akin to a generalized entropy production rate, is defined. It is shown that the addition of a small amount of noise in the system will pick the solution that globally minimizes this functional.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865274
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  • 7
    Electronic Resource
    Electronic Resource
    A differential equation for the ambipolar electric field in a multiple-helicity torsatron (1985)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 334-337 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In a torsatron, the ambipolar electric field is obtained by equating the ion and electron fluxes. This formulation, when solved simultaneously with the density and temperature rate equations, gives continuous electric fields but may lead to the radial derivative of the electric field being discontinuous. This unphysical situation arises from the neglect of the finite orbit deviation from the flux surfaces. If the fluxes are calculated to higher order in inverse aspect ratio to include the finite orbit deviation, then a second-order differential equation is obtained that will give a continuous first derivative for the electric field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865152
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  • 8
    Electronic Resource
    Electronic Resource
    Comments on "Bifurcation phenomena and the radial electric field in a nonaxisymmetric plasma'' [Phys. Fluids 29, 536 (1986)] (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 2760-2761 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The smallest total collisional entropy production rate technique of choosing among multiple ambipolar roots is contrasted with a linearized stability method in which only the ambipolar potential is perturbed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865522
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  • 9
    Electronic Resource
    Electronic Resource
    The poloidal potential in the low-collisionality regime in a nonaxisymmetric torus (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 193-199 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The poloidal potential is calculated numerically in the low-collisionality regime for nonaxisymmetric tori such as stellarators and bumpy tori. It is found that even fairly deep into the superbanana regime, the poloidal potential retains the simple azimuthal dependence of the plateau regime.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865976
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  • 10
    Electronic Resource
    Electronic Resource
    Ambipolarons: Solitary wave solutions for the radial electric field in a plasma (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 69-75 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The ambipolar radial electric field in a nonaxisymmetric plasma can be described by a nonlinear diffusion equation. This equation is shown to possess solitary wave solutions. A model nonlinear diffusion equation with a cubic nonlinearity is studied. An explicit analytic step-like form for the solitary wave is found. It is shown that the solitary wave solutions are linearly stable against all but translational perturbations. Collisions of these solitary waves are studied and three possible final states are found: two diverging solitary waves, two stationary solitary waves, or two converging solitary waves leading to annihilation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865954
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