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

Abstract

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 non-linear 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.

arXiv comment18 pages, 8 figures. arXiv admin note: text overlap with arXiv:1805.01821

References in corpus (9)

• Nonlinear Energetic Particle Transport in the Presence of Multiple Alfvenic Waves in ITER
• Lagrangian coherent structures and plasma transport processes
• Importance of resolving the spectral support of beam-plasma instabilities in simulations
• Beam-Plasma Instability and Fast Particles: the Lynden-Bell Approach
• Coherent transport structures in magnetized plasmas, I : Theory
• Slow electrostatic fluctuations generated by beam-plasma interaction
• Mixed diffusive-convective relaxation of a broad beam of energetic particles in cold plasma
• Coherent transport structures in magnetized plasmas II: Numerical results
• Reanalysis of the beam-plasma instability using the Dyson-like equation formalism

Cited by in corpus (4)

• Radio Emission by Soliton Formation in Relativistically Hot Streaming Pulsar Pair Plasmas
• Analysis of the nonlinear dynamics of a chirping-frequency Alfvén mode in a Tokamak equilibrium
• Prediction of temperature barriers in weakly collisional plasmas by a Lagrangian Coherent Structures computational tool
• External charged debris in a flowing plasma : charge fluctuation induced complexity