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.; d’Ambrumenil, N.
March 2003
Physics of Plasmas;Mar2003, Vol. 10 Issue 3, p623
Academic Journal
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 ν[sub a], which drives bump-on-tail structure, and the linear wave damping rate γ[sub d]. A code, based on the piecewise parabolic method, is used to integrate the fully nonlinear Berk-Breizman system of equations across the whole ( ν[sub a], γ[sub d]) 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.


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