Volume 127, Number 2, July 2019
|Number of page(s)||7|
|Section||Physics of Gases, Plasmas and Electric Discharges|
|Published online||02 September 2019|
Reanalysis of the beam-plasma instability using the Dyson-like equation formalism
1 ENEA, Fusion and Nuclear Safety Department, C. R. Frascati - Via E. Fermi 45, 00044 Frascati (Roma), Italy
2 Consorzio RFX - Corso Stati Uniti 4, 35127 Padova, Italy
3 Physics Department “E. Fermi”, University of Pisa - L.go Bruno Pontecorvo 3, 56127 Pisa, Italy
4 Physics Department, “Sapienza” University of Rome - P.le Aldo Moro 5, 00185 Roma, Italy
Received: 7 February 2019
Accepted: 11 July 2019
We analyze the problem of the beam-plasma instability via the analytical treatment of the so-called Dyson equation. We first compared the prediction of the model constructed by fixing the electric-field amplitude with respect to a N-body Hamiltonian numerical simulation. Then, we demonstrate that the shortcomings of such an analytical formulation must be essentially identified with the breaking-down of the self-consistent evolution of the field and the particle distribution function.
PACS: 52.25.Dg – Plasma kinetic equations / 52.40.Mj – Particle beam interactions in plasmas / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
© EPLA, 2019
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