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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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