Computer Simulation of Plasmas

  • John M. Dawson
Conference paper
Part of the Astrophysics and Space Science Library book series (ASSL, volume 31)


During the last few years computer simulation of plasma has developed quite extensively, with many groups springing up in various places. Numerous approaches are reported in ‘Methods of Computational Physics’ (Vol. 9, Plasma Physics, 1970). I shall not attempt to summarize all this work, but shall concentrate on the work that has been carried out at Princeton and at the Naval Research Laboratory, and work with which I have been associated. To a large extent this work has been devoted to electrostatic particle models. I believe that this has been the most successful model to date, and certainly most of the work has been devoted to it. There is also some work on the Fourier-Fourier transform method for solving the Vlasov equation which I should like to mention, and particularly I should like to show some comparison of the results with those from the particle method.


Debye Length Space Mode Large Wave Vlasov Equation Trap Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Abramowitz, M. and Stegun, I. A.: 1964, Handbook of Mathematical Functions, National Bureau of Standards, Washington, D.C. p. 952.zbMATHGoogle Scholar
  2. Alder, B., Fernbach, S., and Rotenberg, M.: 1970, ‘Methods in Computational Physics’, Plasma Physics, Vol. 9, Academic Press, N.Y.Google Scholar
  3. Armstrong, T. P.: 1967, Phys. Fluids 10, 1269–1280.ADSCrossRefGoogle Scholar
  4. Birdsall, C. K. and Fuss, D.: 1968, J. Comput. Phys. 3, 494–511.ADSCrossRefGoogle Scholar
  5. Birdsall, C. K., Byers, J. A., Fuss, D., and Grewal, M.: 1969, ‘Unstable Plasma Waves Propagating Perpendicular to a Magnetic Field: Small Amplitude Growth and Nonlinear Saturation from Computer Experiments’, paper presented at Sherwood Theoretical Meeting, Gatlinburg, Tennessee, April 24–25, 1969.Google Scholar
  6. Byers, J. and Grewal, M.: 1970, Phys. Fluids 13, 1819–1830.ADSCrossRefGoogle Scholar
  7. Dawson, J. M.: 1962, Phys. Fluids 5, 445–459.ADSzbMATHCrossRefGoogle Scholar
  8. Denavit, J.: 1969, private communications.Google Scholar
  9. Denavit, J. and Kruer, W. O.: 1971, submitted to The Physics of Fluids for publication.Google Scholar
  10. Gentleman, W. and Sande, G.: 1966, ‘Fast Fourier Transforms for Fun and Profit’, Proc. Fall Joint Computer Conf. Vol. 29, p. 563, Mcmillan Co. Ltd., London.Google Scholar
  11. Goldman, M. V.: 1970, Phys. Fluids 13, 1281–1289.ADSzbMATHCrossRefGoogle Scholar
  12. Grant, F. C. and Feix, M. R.: 1967, Phys. Fluids 10, 696–702.ADSCrossRefGoogle Scholar
  13. Harlow, F. H.: 1964, ‘The Particle-n-Cell Computing Method for Fluid Dynamics’, Methods in Computational Physics (B. Alder, S. Fernbach, and M. Rotenberg, eds.), Academic Press, New York, Vol. 3 pp. 319–343.Google Scholar
  14. Hockney, R. W.: 1966, Phys. Fluids 9, 1826–1835.ADSCrossRefGoogle Scholar
  15. Hockney, R. W.: 1969, ‘Particle Models in Plasma Physics’, Proc. of Conference on Computational Physics, Culham, Vol. I, paper II. C (Institute of Physics and The Physical Society, CLM-CP 1969).Google Scholar
  16. Knorr, G.: 1963, ‘Zur Lösung der Nicht-linearen Vlasov Gleichung’, Rept. MPI/PA-34/63. Max Planck Institut für Physik und Astrophysik, München (1963A); also Z. Naturforsch. 18a (1963) pp. 1304–1315.MathSciNetADSGoogle Scholar
  17. Kruer, W. L., Dawson, J. M., and Sudan, R.: 1969, Phys. Rev. Letters 23, 838–841.ADSCrossRefGoogle Scholar
  18. Langdon, A. B. and Birdsall, C. K.: 1970, Phys. Fluids 13, 2115–2122.ADSCrossRefGoogle Scholar
  19. Mason, R. J.: 1969, Bull. Am. Phys. Soc. 14, 1043.Google Scholar
  20. Morse, R. L.: 1970, ‘Multidimensional Plasma Simulation by the Particle-in-Cell Method’, Methods in Computational Physics (B. Alder, S. Fernbach, and M. Rotenberg, eds.), Academic Press, New York, Vol. 9 (1970) pp. 213–239.Google Scholar
  21. Okuda, H.: 1969, Bull. Am. Phys. Soc. 14, 1065.Google Scholar
  22. Okuda, H. and Birdsall, C. K.: 1970, Phys. Fluids 13, 2123–2134.ADSCrossRefGoogle Scholar
  23. Sadowski, W. L.: 1967, ‘One Some Aspects of the Eigenfunction Expansion of the Solution of the Nonlinear Vlasov Equation’, paper presented at the Symposium on Computer Simulation of Plasmas and Many-Body Problems (Williamsburg, Virginia, April 19–21, (1967), NASA SP-153), pp. 149–150.Google Scholar
  24. Shanny, R., Kruer, W. L., and Dawson, J. M., 1968, ‘Investigations of Electrostatic Oscillations of a Non-Maxwellian Plasma’, Proceedings of the Topical Conference on Numerical Simulation of Plasma, Sept. 18–20, Los Alamos, New Mexico (Los Alamos Scientific Laboratory LA-3990) paper A-2.Google Scholar
  25. Wharton, C. B., Malmberg, J. H., and O’Neil, T. M.: 1968, Phys. Fluids 11, 1761–1763.ADSCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1972

Authors and Affiliations

  • John M. Dawson
    • 1
  1. 1.Plasma Physics LaboratoryPrinceton UniversityPrincetonUSA

Personalised recommendations