Skip to main content
Log in

Electrostatic double layers and a plasma evacuation process

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

An evacuation process due to the growth of current driven instabilties in a plasma is discussed. The process, which leads to localized extreme density reductions, is related to the formation of electrostatic double layers. The initial linear phase is treated using the superposition of unstable plasma waves. In the long wavelength, non-dispersive limit, a density dip — which is initially present as a small disturbance — grows rapidly and remains localized in the plasma. The process works for a variety of plasma conditions provided a certain current density is exceeded. For a particular choice of plasma parameters the non-linear development is followed, by solving the coupled Vlasov-Poisson equations by finite difference methods. The evacuation process is found to work even more effectively in the non-linear phase and leads to an extreme density reduction within the dip. It is suggested that the growth of such structures produces weak points within the plasma that can lead to the formation of double layers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abramowitz, M. and Stegun, I. A.: 1965,Handbook of Mathematical Functions, Dover Publications, New York, p. 297.

    Google Scholar 

  • Alfvén, H. and Carlqvist, P.: 1967,Solar Phys. 1, 220.

    Google Scholar 

  • Babić, M. and Torvén, S.: 1974, TRITA-EPP-74-02, Dept. of Plasma Phys., Royal Inst. of Tech., Stockholm, Sweden.

  • Block, L. P.: 1978,Astrophys. Space Sci. 55, 59.

    Google Scholar 

  • Buneman, O.: 1958,Phys. Rev. Letters 1, 8.

    Google Scholar 

  • Buneman, O.: 1959,Phys. Rev. 115, 503.

    Google Scholar 

  • Carlqvist, P.: 1972,Cosmic Electrodyn. 3, 377.

    Google Scholar 

  • Carlqvist, P.: 1973, TRITA-EPP-73-05, Dept. of Plasma Phys., Royal Inst. of Tech., Stockholm, Sweden.

  • Carlqvist, P.: 1979, in P. J. Palmadesso and K. Papadopoulos (eds.),Wave Instabilities in Space Plasmas, D. Reidel Publ. Co., Dordrecht, p. 83.

    Google Scholar 

  • Clemmow, P. C. and Dougherty, J. P.: 1969,Electrodynamics of Particles and Plasmas, Addison-Wesley Publ. Co., Reading, Mass.

    Google Scholar 

  • Courant, R., Friedrichs, K. O. and Lewy, H.: 1928,Math. Ann. 100, 32.

    Google Scholar 

  • DeGroot, J. S., Barnes, C., Walstead, A. E. and Buneman, O.: 1977,Phys. Rev. Letters 38, 1283.

    Google Scholar 

  • Fried, B. D. and Conte, S. D.: 1961,The Plasma Dispersion Function, Academic Press, New York.

    Google Scholar 

  • Jackson, E. A.: 1960,Phys. Fluids 3, 786.

    Google Scholar 

  • Joyce, G. and Hubbard, R. F.: 1978,Numerical simulation of plasma double layers, Rep. 78-10, Dept. of Phys. and Astron., University of Iowa, Iowa City.

    Google Scholar 

  • Killeen, J. and Rompel, S. L.: 1966,J. Comp. Phys. 1, 29.

    Google Scholar 

  • Lax, P. D. and Wendroff, B.: 1960,Comm. Pure Appl. Math. 13, 217.

    Google Scholar 

  • Lindberg, L. and Torvén, S.: 1979,J. Physique 40, 151.

    Google Scholar 

  • Mehra, R.: 1973,Contour Plot Package User's Manual, Stockholms Datamaskincentral, Royal Inst. of Tech., Stockholm, Sweden.

    Google Scholar 

  • Morales, G. and Lee, Y. C.: 1974,Phys. Rev. Letters 33, 1016.

    Google Scholar 

  • Nyberg, C.: 1979, TRITA-MEK-79-06, Dept. of Mechanics, Royal Inst. of Tech., Stockholm, Sweden.

  • Quon, B. H. and Wong, A. Y.: 1976,Phys. Rev. Letters 37, 1393.

    Google Scholar 

  • Schrijver, H.: 1973,Physica 70, 358.

    Google Scholar 

  • Stringer, T. E.: 1964,Plasma Phys. 6, 267.

    Google Scholar 

  • Torvén, S. and Babić, M.: 1975,Proc. 12th Int. Conf. on Phenomena in Ionized Gases, p. 124.

  • Torvén, S.: 1979, in P. J. Palmadesso and K. Papadopoulos (eds.),Wave Instabilities in Space Plasmas, D. Reidel Publ. Co., Dordrecht, p. 109.

    Google Scholar 

  • Zakharov, V. E.: 1972,Zh. Exsp. Teor. Fiz. 62, 1745 (Sov. Phys.-JETP 35, 908).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Raadu, M.A., Carlqvist, P. Electrostatic double layers and a plasma evacuation process. Astrophys Space Sci 74, 189–206 (1981). https://doi.org/10.1007/BF00642091

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00642091

Keywords

Navigation