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Linearized potential of an ion moving through plasma

Published online by Cambridge University Press:  13 March 2009

Thomas Peter
Thomas Peter
Affiliation:
Max-Planck-Institut für Quantenoptik, D-8046 Garching, Federal Republic ofGermany
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Abstract

The solution of the linearized Vlasov–Poisson equations describing a projectile ion moving through a classical isotropic electron plasma is investigated analytically and numerically for a wide range of projectile velocities vp Extending the range of earlier computations considerably, our calculations were performed for velocities up to vp = 15vth, showing the wake field behind the ion for distances 0 ≤ d ≤ 200λD, where vth is the thermal electron velocity and λD the Debye length of the plasma. As a new feature, we demonstrate that the amplitude of the wake field in the region vp/vth ≤ d/λD ≤/23(vp/vth)3 is almost undamped, and only for larger distances from the ion does it take the 1/d behaviour shown in other work. Thus the wake field of a single ion persists for much longer than previously thought. The question of whether this effect could have practical consequences, for example, for ion-beam cooling, is briefly addressed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 44 , Issue 2 , October 1990 , pp. 269 - 284
Copyright
Copyright © Cambridge University Press 1990

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References

REFERENCES

Abramowitz, M. & Stegun, I. A. 1972 Handbook of Mathematical Functions. National Bureau of Standards.Google Scholar
Arnold, R. C. & Meyer-Ter-Vehn, J. 1987 Rep. Prog. Phys. 50, 559.CrossRefGoogle Scholar
Bock, R., Hofmann, I. & Meyer-Ter-Vehn, J. (eds.) 1988 Proceedings of Heavy Ion Inertial Fusion Symposium, Darmstadt, Federal Republic ofGermany, June 1988: Nucl. Instrum. Meth. A 278.Google Scholar
Bohr, N. 1915 Phil. Mag. 30, 581.CrossRefGoogle Scholar
Chen, L., Langdon, A. B. & Lieberman, M. A. 1973 J. Plasma Phys. 9, 311.CrossRefGoogle Scholar
Chenevier, P., Dolique, J. M. & Perès, H. 1973 J. Plasma Phys. 10, 185.CrossRefGoogle Scholar
Cooper, G. 1969 Phys. Fluids, 12, 2707.CrossRefGoogle Scholar
Debye, P. & Hückel, E. 1923 Phys. Z. 24, 185.Google Scholar
Echenique, P. M., Ritchie, R. H. & Brandt, W. 1979 Phys. Rev. B 20, 2567.CrossRefGoogle Scholar
Fried, B. D. & Conte, S. D. 1961 The Plasma Dispersion Function. Academic.Google Scholar
Gradshteyn, I. S. & Ryzhik, I. M. 1981 Table of Integrais, Series, and Products. Academic.Google Scholar
Ichimaru, S. 1973 Basic Principles of Plasma Physics. Benjamin.Google Scholar
Krall, N. A. & Trivelpiece, A. W. 1973 Principles of Plasma Physics. McGraw-Hill.CrossRefGoogle Scholar
Landau, L. D. 1946 J. Phys. USSR, 10, 25.Google Scholar
Montgomery, D., Joyce, G. & Sugihara, R. 1967 Plasma Phys. 10, 681.CrossRefGoogle Scholar
Peter, Th. 1988 Energieverlust von Schwerionenstrahlen in dichten Plasmen. Ph.D. thesis, Technische Universität München and report of the Max-Planck-Institut für Quanten- optik (MPQ 137).Google Scholar
Peter, Th. & Meyer-Ter-Vehn, J. 1989 Nonlinear stopping power ofheavy ions in plasma. Report of the Gesellschaft für Schwerionenforschung Darmstadt GSI-89–21; submitted to Phys. Rev. A.Google Scholar
Rostokeh, N. 1960 Nucl. Fusion, 1, 101.CrossRefGoogle Scholar
Rostoker, N. & Rosenbluth, M. N. 1960 Phys. Fluids, 3, 1.CrossRefGoogle Scholar
Thompson, W. B. & Hubbard, J. 1960 Rev. Mod. Phys. 32, 714.CrossRefGoogle Scholar
Wang, C.-L., Joyce, G. & Nicholson, D. R. 1980 J. Plasma Phys. 25, 225.CrossRefGoogle Scholar