- Access by Xinjiang University
Dynamics of ion shielding in an anisotropic electron plasma
Phys. Rev. E 78, 026413 – Published 22 August, 2008
DOI: https://doi.org/10.1103/PhysRevE.78.026413
Abstract
We show that, for a test ion moving in a collisionless single-species electron plasma, exact analytical solutions can be obtained for certain anisotropic velocity distributions of the electron plasma. By comparing the analytical formula with the numerical results calculated for the more realistic Maxwellian plasma, we demonstrate that plasmas with three different velocity distributions behave similarly for ions moving with velocity smaller than the velocity spread of the electrons. Furthermore, we show that the response of the electron density to a rest ion decays exponentially with distance, provided the anisotropic velocity distribution exhibits elliptical symmetry.
Article Text
References (12)
- Ya. S. Derbenev, in Proceedings of Seventh All-Union Conference on Charged Particle Accelerators (Dubna, USSR, 1980), p. 269.
- V. N. Litvinenko and Ya. S. Derbenev, in Proceedings of 29th International Free Electron Laser Conference, edited by B. Goldenberf, V. Eliseev, A. Zhirkova, and P. Budz (Budker INP, Novosibirsk, Russia, 2007), p. 268; http://accelconf.web.cern.ch/accelconf/f07/
- D. Montgomery, G. Joyce, and R. Sugihara, Phys. Fluids 10, 681 (1968).
- G. Cooper, Phys. Fluids 12, 2707 (1970).
- C. R. James and F. Vermeulen, Can. J. Phys. 48, 349 (1970).
- C.-L. Wang, G. Joyce, and D. R. Nicholson, J. Plasma Phys. 25, 225 (1981).
- E. W. Laing, A. Lamont, and P. J. Fielding, J. Plasma Phys. 5, 441 (1971).
- P. Chenevier, J. M. Dolique, and H. Peres, J. Plasma Phys. 10, 185 (1973).
- A. J. Turski, Ann. Phys. (N.Y.) 35, 240 (1965).
- A. J. Turski, Ann. Phys. 22, 180 (1969).
- T. Harriet, URL: http://locke.citizendium.org:8080/wiki/Solving_cubic_equations
- L. Landau, J. Phys. (USSR) 10, 25 (1946).