Nonlinear δ<i>f</i> simulation studies of intense charged 
particle beams with large temperature anisotropy

Startsev, Edward A.; Davidson, Ronald C.; Qin, Hong

doi:10.1017/s0263034602204164

Cited by 18 publications

(27 citation statements)

References 5 publications

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“…Of particular importance at the high beam currents and charge densities of practical interest are the effects of the intense self-fields produced by the beam space charge and current on determining the detailed equilibrium, stability, and transport properties. While considerable progress has been made in understanding the self-consistent evolution of the beam distribution function, f b x; p; t, and self-generated electric and magnetic fields, E s x; t and B s x; t, in kinetic analyses based on the nonlinear Vlasov-Maxwell equations [1,6 -10], in numerical simulation studies of intense beam propagation [11][12][13][14][15][16][17][18][19][20][21], and in macroscopic warm-fluid models [22 -25], the effects of finite geometry and space-charge effects often make predictions of detailed stability behavior difficult. It is therefore important to develop an improved understanding of fundamental collective stability properties, including the case where a large temperature anisotropy T ?b T kb can drive a Harris-like instability [26,27], familiar in the study of electrically neutral plasmas.…”

Section: Introductionmentioning

confidence: 99%

Analytical theory and nonlinearδfperturbative simulations of temperature anisotropy instability in intense charged particle beams

Startsev

Davidson

Qin

2003

Phys. Rev. ST Accel. Beams

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In plasmas with strongly anisotropic distribution functions T kb =T ?b 1 a Harris-like collective instability may develop if there is sufficient coupling between the transverse and longitudinal degrees of freedom. Such anisotropies develop naturally in accelerators and may lead to a deterioration of beam quality. This paper extends previous numerical studies [E. A. Startsev, R. C. Davidson, and H. Qin, Phys. Plasmas 9, 3138 (2002)] of the stability properties of intense non-neutral charged particle beams with large temperature anisotropy T ?b T kb to allow for nonaxisymmetric perturbations with @=@ Þ 0. The most unstable modes are identified, and their eigenfrequencies, radial mode structure, and nonlinear dynamics are determined. The simulation results clearly show that moderately intense beams with s b ! ! 2 pb =2 2 b ! 2 ? * 0:5 are linearly unstable to short-wavelength perturbations with k 2 z r 2 b * 1, provided the ratio of longitudinal and transverse temperatures is smaller than some threshold value. Here,! ! Both the simulations and the analytical theory predict that the dipole mode (azimuthal mode number m 1) is the most unstable mode. In the nonlinear stage, tails develop in the longitudinal momentum distribution function, and the kinetic instability saturates due to resonant wave-particle interactions.

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Section: Introductionmentioning

confidence: 99%

Analytical theory and nonlinearδfperturbative simulations of temperature anisotropy instability in intense charged particle beams

Startsev

Davidson

Qin

2003

Phys. Rev. ST Accel. Beams

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“…during the acceleration of the charge bunch [10], and can provide the free energy to drive both the electrostatic Harris instability [32][33][34][35][36][37][38][39][40][41][42] and the electromagnetic Weibel instability [39,[43][44][45][46][47][48].…”

Section: B Electrostatic Harris Instability For One-component Beamsmentioning

confidence: 99%

Survey of collective instabilities and beam–plasma interactions in intense heavy ion beams

Davidson

Dorf

Kaganovich

et al. 2009

Nuclear Instruments and Methods in Physics Research Section A:

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This paper presents a survey of the present theoretical understanding based on advanced analytical and numerical studies of collective processes and beam-plasma interactions in intense heavy ion beams for applications to ion-beam-driven high energy density physics and heavy ion fusion. The topics include: discussion of the conditions for quiescent beam propagation over long distances; and the electrostatic Harris instability and the transverse electromagnetic Weibel instability in highly anisotropic, intense one-component ion beams. In the longitudinal drift compression and transverse compression regions, collective processes associated with the interaction of the intense ion beam with a charge-neutralizing background plasma are described, including the electrostatic electron-ion two-stream instability, the multispecies electromagnetic Weibel instability, and collective excitations in the presence of a solenoidal magnetic field. The effects of a velocity tilt on reducing two-stream instability growth rates are also discussed.Operating regimes are identified where the possible deleterious effects of collective processes on beam quality are minimized.

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“…In the absence of axial streaming (β j = 0 and β = 0 = β 2 ), the dispersion relation (31) gives directly the fast wave…”

Section: Weibel Instability For Step-function Density Profilesmentioning

confidence: 99%

“…Nonetheless, often with the aid of numerical simulations, there has been considerable recent analytical progress in applying the Vlasov-Maxwell equations to investigate the detailed equilibrium and stability properties of intense charged particle beams. These investigations include a wide variety of collective interaction processes ranging from the electrostatic Harris instability [29][30][31][32][33][34][35] and electromagnetic Weibel instability [36][37][38][39][40][41] driven by large temperature anisotropy with T ⊥b T b in a one-component nonneutral ion beam, to wall-impedance-driven collective instabilities [42][43][44][45], to the dipole-mode two-stream instability for an intense ion beam propagating through a partially neutralizing electron background [45][46][47][48][49][50][51][52][53][54][55][56], to the resistive hose instability [57][58][59][60][61][62][63] and the sausage and hollowing instabilities [64][65][66] for an intense ion beam propagating through a background plasma [67][68][69]…”

Section: Introductionmentioning

confidence: 99%

Weibel and Two-Stream Instabilities for Intense Charged Particle Beam Propagation through Neutralizing Background Plasma

Davidson¹,

Kaganovich²,

Startsev³

2004

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Properties of the multi-species electromagnetic Weibel and electrostatic two-stream instabilities are investigated for an intense ion beam propagating through background plasma.Assuming that the background plasma electrons provide complete charge and current neutralization, detailed linear stability properties are calculated within the framework of a macroscopic cold-fluid model for a wide range of system parameters.2

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Nonlinear δf simulation studies of intense charged particle beams with large temperature anisotropy

Cited by 18 publications

References 5 publications

Analytical theory and nonlinearδfperturbative simulations of temperature anisotropy instability in intense charged particle beams

Analytical theory and nonlinearδfperturbative simulations of temperature anisotropy instability in intense charged particle beams

Survey of collective instabilities and beam–plasma interactions in intense heavy ion beams

Weibel and Two-Stream Instabilities for Intense Charged Particle Beam Propagation through Neutralizing Background Plasma

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