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  • 1
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    Partition function for a two-dimensional plasma in the random-phase approximation (1974)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: The partition function for a two-dimensional plasma is evaluated within the random-phase approximation. The periodic boundary conditions are taken fully into account by including the periodic image interactions. In the guiding-center limit, the 'negative temperature' threshold energy is evaluated, and a value different from previous calculations results. When an identical random-phase evaluation is applied to the finite-gyroradius plasma, the Salzberg-Prager-May equation of state is recovered.
    Keywords: PHYSICS, PLASMA
    Type: Physical Review Letters; 32; Mar. 11
    Format: text
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  • 2
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    Two-dimensional turbulence in inviscid fluids or guiding center plasmas (1975)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: Numerical tests of the inviscid equilibrium theory of Kraichnan (1975) are described. The mathematical description applies equally well to the two-dimensional electrostatic guiding center plasma and to the two-dimensional inviscid Navier-Stokes fluid. The predictions of this analytic theory are discussed. A pair of coupled equations are derived for the two-time vorticity autocorrelation in Fourier space and the infinitesimal unit response function G of Kraichnan in the so-called Eulerian direct interaction approximation. Kraichnan's assertion that thermodynamic limits exist for the negative temperature states is questioned.
    Keywords: PLASMA PHYSICS
    Type: Physics of Fluids; 18; July 197
    Format: text
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  • 3
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    Thermodynamics of two-dimensional plasmas or discrete line vortex fluids (1976)
    In:  Other Sources
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    Publication Date: 2019-06-27
    Description: The equilibrium properties of a two-dimensional plasma are examined theoretically within the framework of the random-phase approximation. The guiding-center case is of most interest because of the formal equivalence to two-dimensional discrete-line vortex fluids and because of the formal admissibility of negative temperatures. Using a judicious treatment of the periodic boundary conditions, extensive thermodynamics for nonnegative temperatures and a new value for the energy at which the temperature becomes negative are found. An explicit form for the structure function is derived and compared with the result of a Monte Carlo calculation. Good agreement is found for the negative-temperature-threshold prediction and for the general shape of the structure function. An equilibrium energy spectrum is calculated, which for positive temperatures, is the Debye-Hueckel result; for negative temperatures, it predicts an enhanced excitation of the lowest mode, corresponding to macroscopic charge separation.
    Keywords: PLASMA PHYSICS
    Type: Physics of Fluids; 19; Sept
    Format: text
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  • 4
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    Partition function for a two dimensional plasma in the random phase approximation (1974)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: The partition function for a two-dimensional plasma is evaluated within the random phase approximation. The periodic boundary conditions are fully taken into account by including the periodic image interactions. In the guiding-center limit, the negative temperature threshold energy is evaluated, and a value different from previous calculations results. When an identical random phase evaluated, and a value different from previous calculations results. When an identical random phase evaluation is applied to the finite gyroradius plasma, the Salzberg-Prager-May equation of state is recovered.
    Keywords: PHYSICS, PLASMA
    Type: NASA-CR-138004 , U-OF-IOWA-74-6
    Format: application/pdf
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  • 5
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    Two dimensional turbulence in inviscid fluids or guiding center plasmas (1975)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: Analytic theory for two-dimensional turbulent equilibria for the inviscid Navier-Stokes equations is examined mathematically. Application of the technique to electrostatic guiding center plasma is discussed. A good fit is demonstrated for the approach to a predicted energy per Fourier mode obtained from a two-temperature canonical ensemble. Negative as well as positive temperature regimes are explored. Fluctuations about the mean energy per mode also compare well with theory. In the regime of alpha less than zero, beta greater than zero, with the minimum value of alpha plus beta times k squared near zero, contour plots of the stream function reveal macroscopic vortex structures similar to those seen previously in discrete vortex simulations. Eulerian direct interaction equations, which can be used to follow the approach to inviscid equilibrium, are derived.
    Keywords: FLUID MECHANICS AND HEAT TRANSFER
    Type: NASA-CR-142129 , U-OF-IOWA-75-4
    Format: application/pdf
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