Plasma and Fusion Research

Volume 4, 001 (2009)

Regular Articles

Adiabatic Wave-Particle Interaction Revisited
Robert L. DEWAR1,2) and Justin C. -C. YAP1)
1)
Plasma Research Laboratory and Department of Theoretical Physics, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 0200, Australia
2)
Visiting Professor: Department of Advanced Energy, Graduate School of Frontier Sciences, University of Tokyo, 5-1-5 Kashiwa, Chiba 277-8561, Japan
(Received 31 October 2008 / Accepted 8 December 2008 / Published 22 January 2009)

Abstract

In this paper we calculate and visualize the dynamics of an ensemble of electrons trapping in an electrostatic wave of slowly increasing amplitude, illustrating that, despite disordering of particles in angle during the trapping transition as they pass close to X-points, there is still an adiabatic invariant for the great majority of particles that allows the long-time distribution function to be predicted. Possible application of this approach to recent work on the nonlinear frequency shift of a driven wave is briefly discussed.

Keywords

adiabatic invariant, Langmuir wave, nonlinear frequency shift, trapped particle

DOI: 10.1585/pfr.4.001

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This paper may be cited as follows:

Robert L. DEWAR and Justin C. -C. YAP, Plasma Fusion Res. 4, 001 (2009).