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Hydrodynamics of plasma in a dense pinch

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  • Meierovich, B.E.

Abstract

Equilibrium configurations and low-frequency radial oscillations (ionic sound) in dense streams of charged particles are considered in the approximation of hydrodynamics of ideal electron and ion liquids, interacting via the electromagnetic field created by the charges. The macroscopic approach used in this paper is valid without assumptions on the equations of state. Properties of the oscillations, due to a special form of the equation of state of the medium, are expressed by means of a single macroscopic parameter, the sound velocity. In the intermediate region of weak currents the ionic sound oscillations with a wavelength higher than a critical value increase exponentially. This instability is related to a trend towards stratification of the beam into separate jets, if the magnetic field of a current in a separate channel is able to prevent the charges from scattering in the radial direction. In a high current beam the instability to excitation of the radial ionic sound oscillations is suppressed by the current magnetic field.

Suggested Citation

  • Meierovich, B.E., 1981. "Hydrodynamics of plasma in a dense pinch," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(1), pages 313-329.
    • Handle: RePEc:eee:phsmap:v:105:y:1981:i:1:p:313-329
    DOI: 10.1016/0378-4371(81)90080-7
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    1. Cummings, Ronald G. & Nunn, Susan C. & McFarland, James W., 1978. "An economic analysis of the hot dry rock geothermal energy resource," Resources and Energy, Elsevier, vol. 1(2), pages 109-123, October.
    2. Romm, F.J. & Armstrong, P.S. & Prior, A.P., 1975. "A comparison of program and contraceptive use continuation rates in a family planning clinic," American Journal of Public Health, American Public Health Association, vol. 65(7), pages 693-699.
    3. Kunze, Bernd, 1972. "Trends in Britain’s eastern trade," Intereconomics – Review of European Economic Policy (1966 - 1988), ZBW - Leibniz Information Centre for Economics, vol. 7(10), pages 317-320.
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