Reanalysis of the beam-plasma instability using the Dyson-like equation formalism

Carlevaro, Nakia; Finelli, Francesco; Montani, Giovanni

doi:10.1209/0295-5075/127/25002

Cited by 2 publications

(2 citation statements)

References 31 publications

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“…Actually, the clump size is typically fixed via analytical estimates, which break down the self-consistency by assuming a frozen field. In Carlevaro, Finelli & Montani (2019 a ), it has been clearly shown how retaining this self-consistency is of crucial importance to ensure predictivity. Here, we also argue how the overlapping process of two or more resonances can strictly depend on small deformations of the distribution function in those regions of the velocity space which are out of the plateau.…”

Section: Resonance Overlap At Saturationmentioning

confidence: 99%

Resonance overlap and nonlinear features of the beam–plasma system

2020

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The beam–plasma instability can be addressed as a reduced model in several contexts of plasma physics, from space to fusion plasma. In this paper, we review and refine some nonlinear features of this model. Specifically, by analysing the dependence of the nonlinear velocity spread as a function of the linear growth rate, we discuss the effective size of the resonance in view of its role in the spectral overlap at saturation. The relevance of this characterization relies on the necessity of a quantitative determination of the overlap degree to discriminate among different transport regimes of the self-consistent dynamics. The analysis is enriched with a study of the phase-space dynamics by means of the Lagrangian coherent structure technique, in order to define the transport barriers of the system describing the relevant features of the overlap process. Finally, we discuss relevant features related to the mode saturation levels.

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Section: Resonance Overlap At Saturationmentioning

confidence: 99%

Resonance overlap and nonlinear features of the beam–plasma system

2020

View full text Add to dashboard Cite

show abstract

“…Actually, the clump size is typically fixed via analytical estimates, which break down the self-consistency by assuming a frozen field. In Carlevaro et al (2019a), it has been clearly shown how retaining this self-consistency is of crucial importance to ensure predictivity. Here, we also argue how the overlapping process of two or more resonances can strictly depend on small deformations of the distribution function in those regions of the velocity space which are out of the plateau.…”

Section: Resonance Overlap At Saturationmentioning

confidence: 99%

Resonance overlap and non-linear features of the beam-plasma system

Carlevaro,

Montani,

Falessi

2020

Preprint

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The beam-plasma instability can be addressed as a reduced model in several contexts of plasma physics, from space to fusion plasma. In this paper, we review and refine some non-linear features of this model. Specifically, by analyzing the dependence of the nonlinear velocity spread as a function of the linear growth rate, we discuss the effective size of the resonance in view of its role in the spectral overlap at saturation. The relevance of this characterization relies on the necessity of a quantitative determination of the overlap degree to discriminate among different transport regimes of the self consistent dynamics. The analysis is enriched with a study of the phase-space dynamics by means of the Lagrangian Coherent Structure technique, in order to define the transport barriers of the system describing the relevant features of the overlap process. Finally, we discuss relevant features related to the mode saturation levels.

show abstract

Reanalysis of the beam-plasma instability using the Dyson-like equation formalism

Cited by 2 publications

References 31 publications

Resonance overlap and nonlinear features of the beam–plasma system

Resonance overlap and nonlinear features of the beam–plasma system

Resonance overlap and non-linear features of the beam-plasma system

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