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Fully nonlinear phenomenology of the Berk-Breizman augmentation of the Vlasov-Maxwell system

Vann, R.G.L., Dendy, R.O., Rowlands, G., Arber, T.D. and d'Ambrumenil, N. (2003) Fully nonlinear phenomenology of the Berk-Breizman augmentation of the Vlasov-Maxwell system. Physics of Plasmas, 10 (3). pp. 623-630. ISSN 1070-664X

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Abstract

The Berk–Breizman augmentation of the Vlasov–Maxwell system is widely used to model self-consistent resonant excitation and damping of wave fields by evolving energetic particle populations in magnetic fusion plasmas. The key model parameters are the particle annihilation rate nua, which drives bump-on-tail structure, and the linear wave damping rate gammad. A code, based on the piecewise parabolic method, is used to integrate the fully nonlinear Berk–Breizman system of equations across the whole (nua,gammad) parameter space. The results of this code show that the system's behavior can be classified into one of four types, each of which occurs in a well-defined region of parameter space: chaotic, periodic, steady state, and damped. The corresponding evolution in (x,v) phase space is also examined.

Item Type: Article
Academic Units: The University of York > Physics (York)
Depositing User: York RAE Import
Date Deposited: 23 Feb 2009 10:14
Last Modified: 23 Feb 2009 10:14
Published Version: http://dx.doi.org/10.1063/1.1539854
Status: Published
Publisher: American Institute of Physics
Identification Number: 10.1063/1.1539854
URI: http://eprints.whiterose.ac.uk/id/eprint/7273

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