Abstract
We describe models of weak electrostatic double layers in unmagnetized plasma. After a short review of early models we concentrate on the BGK equilibria corresponding to double layer potentials. For such systems we present methods of analyzing stability with respect to high frequency perturbations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Mozer, F.S., Carlson, C.W., Hudson, M.K., et al., Observation of Paired Electrostatic Shocks in the Polar Magnetosphere, Phys. Rev. Lett., 1977, vol. 38, pp. 2592, 2599.
Block, L.P. et al., Electric Field Measurements on Viking: First Results, Geophys. Res. Lett., 1987, vol. 14, p. 435; see also Block, L.P., Potential Double Layers in the Ionosphere, Cos. Electrodyn., 1972, vol. 3, p. 349.
Ergun, R. et al., FAST Satellite Observations of Large-Amplitude Solitary Waves, Geophys. Res. Lett., 1998, vol. 25, p. 2041.
Mozer, F.S. and Hull, A., Origin and Geometry of Upward Parallel Electric Fields in the Auroral Acceleration Region, J. Geophys. Res., 2001, vol. 106, no. A4, p.5763.
Franz, J., Kintner, P., and Pickett, J., Polar Observations of Coherent Electric Field Structures, Geophys. Res. Lett., 1998, vol. 25, p. 1277.
Singh, N., Double Layer Formation, Plasma Phys., 1982, vol. 24, p. 639.
Yajima, A. and Machida, S., A Simulation Study of the Auroral Particle Acceleration Process, 5th Int. School/Symp. for Space Simulations, Kyoto, March 13–15, 1997.
Plamondon, R., Teichmann, J., and Torven, S., Current Limitation and Formation of Plasma Double Layers in a Nonuniform Magnetic Field, J. Phys. D: Appl. Phys., 1988, vol. 21, p. 286.
Hershkowitz, N., Payne, G.L., Chan, C., and DeKock, J.R., Weak Double Layers, Plasma Phys., 1981, vol. 23, p. 903; Laser Part. Beams, 1987, vol. 5, p. 257.
Eliezer, S. and Hora, H., Double Layers in Laser-Produced Plasmas, Phys. Rep., 1989, vol. 172, no. 6, p. 339.
Teichmann, J., Linear Vlasov Stability in One-Dimensional Double Layers, Laser Part. Beams., 1987, vol. 5, part 2, p. 287.
Teichmann, J., Intrinsic Resonances in Double Layers with Finite Thickness, Phys. Lett., 1987, vol. A121, p. 25.
Langmuir, I., The Interaction of Electron and Positive Ion Space Charges in Cathode Sheaths, Phys. Rev., 1929, vol. 33, p. 954.
Bohm, D., Characteristics of Electrical Discharges in Magnetic Fields, New York: McGraw-Hill, 1949, p. 77.
Bernstein, I.B., Greene, J.M., and Kruskal, M.D., Exact Nonlinear Plasma Oscillations, Phys. Rev., 1957, vol. 108, p. 546.
Montgomery, D. and Joyce, G., Shock-like Solutions of the Electrostatic Vlasov Equation, J. Plasma Phys., 1969, vol. 3, p. 1.
Kim, K.Y., Weak Monotonic Double Layers, Phys. Lett., 1983, vol. 97A, p. 45.
Schamel, H., Electron Holes, Ion Holes, and Double Layers, Phys. Rep., 1986, vol. 140, no. 3, p. 163.
Biskamp, D., On the Asymptotic Stability of Monotonic Electrostatic Collisionless Shock Waves, J. Plasma Phys., 1969, vol. 3, p. 411.
Schamel, H., Stationary Solitary, Snoidal and Sinusoidal Ion Acoustic Waves, Plasma Phys., 1972, vol. 14, p. 905.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Goldstein, P.P. On Solvable Models of Electrostatic Double Layers. Cosmic Research 41, 349–352 (2003). https://doi.org/10.1023/A:1025001525504
Issue Date:
DOI: https://doi.org/10.1023/A:1025001525504