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Nonlinear Interaction of a Small Cold Beam and a Plasma
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In this paper, a simple model for the nonlinear interaction of a low-density monoenergetic electron beam and a relatively cold infinite homogeneous one-dimensional plasma was proposed.Abstract:
Recently, a simple model was proposed for the nonlinear interaction of a low‐density monoenergetic electron beam and a relatively cold infinite homogeneous one‐dimensional plasma. The essential feature of this model is the observation that after several e‐foldings the bandwidth of the growing waves is so narrow that the electrons interact with a very nearly pure sinusoidal field. In terms of this single wave model, a properly scaled solution of the nonlinear beam‐plasma problem which depends analytically on all the basic parameters of the problem (i.e., plasma density, beam density, plasma thermal velocity, and beam drift velocity) is presented. This solution shows that the single wave grows exponentially at the linear growth rate until the beam electrons are trapped. At that time the wave amplitude stops growing and begins to oscillate about a mean value. During the trapping process the beam electrons are bunched in space and a power spectrum of the higher harmonics of the electric field is produced. Both the oscillation in wave amplitude and the power spectrum are given a simple physical interpretation.read more
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Physics of Alfvén waves and energetic particles in burning plasmas
Liu Chen,Fulvio Zonca +1 more
TL;DR: In this article, the interactions of these energetic particles with linear and nonlinear Alfve'n waves generated in the magnetized plasma are reviewed, and the interaction of the alpha particles produced in the nuclear reactions is discussed.
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Multidimensional electron beam-plasma instabilities in the relativistic regime
TL;DR: In this article, a review of recent advances in relativistic beam-plasma instabilities is presented from both theoretical and numerical points of view, focusing on the potentially dominant waves propagating obliquely to the beam direction.
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A review of free‐electron lasers
C. W. Roberson,Phillip Sprangle +1 more
TL;DR: In this paper, the physical mechanism responsible for the generation of coherent radiation in the FEL is described and the fundamental role of the ponderomotive wave in bunching and trapping the beam is emphasized.
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Theory of Alfvén waves and energetic particle physics in burning plasmas
Liu Chen,Liu Chen,Fulvio Zonca +2 more
TL;DR: In this article, the dynamics of shear Alfven waves collectively excited by energetic particles in tokamak plasmas are analyzed and compared with existing or future experimental observations.
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Hamiltonian and action principle formulations of plasma physics
TL;DR: In this paper, various types of Lagrangian and Poisson bracket formulations for kinetic and fluid theories are discussed, and it is described how such formulations can be used to derive and approximate physical models.
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