Direct computation of the growth rate for the instability of a warm relativistic electron beam in a cold magnetized plasma

Тимофеев, И. В.; Lotov, K. V.; Terekhov, Andrew V.

doi:10.1063/1.3143707

Cited by 17 publications

(11 citation statements)

References 26 publications

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“…For a beam-plasma system with a fixed neutralizing background, we denote the phase space distribution functions of beam electrons/positrons by f ± and for background electrons by g. The linearized (first-order) Vlasov-Maxwell equations, which describe the longitudinal evolution of a linear perturba-1 In higher dimensions, the fastest growing wavemodes are oblique wavemodes, whose spectral width are very sensitive to the details of the beam momentum distribution (Bret et al 2010b;Timofeev et al 2009), thus correctly capturing the instabilities during the physical evolution is a challenging computational problem.…”

Section: Problemmentioning

confidence: 99%

Growth of Beam–Plasma Instabilities in the Presence of Background Inhomogeneity

Shalaby

Broderick

Chang

et al. 2018

ApJ

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We explore how inhomogeneity in the background plasma number density alters the growth of electrostatic unstable wavemodes of beam plasma systems. This is particularly interesting for blazar-driven beam-plasma instabilities, which may be suppressed by inhomogeneities in the intergalactic medium as was recently claimed in the literature. Using high resolution Particle-In-Cell simulations with the SHARP code, we show that the growth of the instability is local, i.e., regions with almost homogeneous background density will support the growth of the Langmuir waves, even when they are separated by strongly inhomogeneous regions, resulting in an overall slower growth of the instability. We also show that if the background density is continuously varying, the growth rate of the instability is lower; though in all cases, the system remains within the linear regime longer and the instability is not extinguished. In all cases, the beam loses approximately the same fraction of its initial kinetic energy in comparison to the uniform case at non-linear saturation. Thus, inhomogeneities in the intergalactic medium are unlikely to suppress the growth of blazar-driven beam-plasma instabilities. arXiv:1804.05071v1 [astro-ph.HE]

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Section: Problemmentioning

confidence: 99%

Growth of Beam–Plasma Instabilities in the Presence of Background Inhomogeneity

Shalaby

Broderick

Chang

et al. 2018

ApJ

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“…34 Only recently was carried out the first fully kinetic treatment of a magnetized beam-plasma system. 165 …”

Section: H Fluid Modelsmentioning

confidence: 99%

“…More unstable branches appear and intersect, yielding portions of the spectrum where the same wave vector supports various unstable modes. Some warm fluid models have been implemented in the magnetized regime, 98,164 and Timofeev et al 165 worked out the fullspectrum kinetic calculation, considering a cold plasma and a monoenergetic beam distribution function of the form f 0 ͑p͒…”

Section: A Same System Additional Effectsmentioning

confidence: 99%

Multidimensional electron beam-plasma instabilities in the relativistic regime

2010

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The interest in relativistic beam-plasma instabilities has been greatly rejuvenated over the past two decades by novel concepts in laboratory and space plasmas. Recent advances in this long-standing field are here reviewed from both theoretical and numerical points of view. The primary focus is on the two-dimensional spectrum of unstable electromagnetic waves growing within relativistic, unmagnetized, and uniform electron beam-plasma systems. Although the goal is to provide a unified picture of all instability classes at play, emphasis is put on the potentially dominant waves propagating obliquely to the beam direction, which have received little attention over the years. First, the basic derivation of the general dielectric function of a kinetic relativistic plasma is recalled. Next, an overview of two-dimensional unstable spectra associated with various beam-plasma distribution functions is given. Both cold-fluid and kinetic linear theory results are reported, the latter being based on waterbag and Maxwell-Jüttner model distributions. The main properties of the competing modes ͑developing parallel, transverse, and oblique to the beam͒ are given, and their respective region of dominance in the system parameter space is explained. Later sections address particle-in-cell numerical simulations and the nonlinear evolution of multidimensional beam-plasma systems. The elementary structures generated by the various instability classes are first discussed in the case of reduced-geometry systems. Validation of linear theory is then illustrated in detail for large-scale systems, as is the multistaged character of the nonlinear phase. Finally, a collection of closely related beam-plasma problems involving additional physical effects is presented, and worthwhile directions of future research are outlined.

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“…Indeed, the calculation of the growth-rate over the full k-space has only been performed so far for an electron beam passing through a Maxwellian, non-relativistic plasma [23,24].…”

Section: Discussionmentioning

confidence: 99%

Hierarchy of instabilities for two counter-streaming magnetized pair beams

Bret

2016

Physics of Plasmas

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The instabilities triggered when two counter-streaming pair beams collide are analyzed. A guiding magnetic field is accounting for, while both beams are considered identical and cold. The instability analysis is conducted over the full k-spectrum, allowing to derive the hierarchy map of the dominant unstable modes, in terms of the initial beams energy γ 0 and a magnetic field strength parameter Ω B . Four different regions of the (Ω B , γ 0 ) phase space are identified, each one governed by a different kind of mode. The analysis also unravels the existence of a "triple point", where 3 different modes grow exactly the same rate. A number of analytical expressions can be derived, either for the modes growth-rates, or for the frontiers between the 4 regions.

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Direct computation of the growth rate for the instability of a warm relativistic electron beam in a cold magnetized plasma

Cited by 17 publications

References 26 publications

Growth of Beam–Plasma Instabilities in the Presence of Background Inhomogeneity

Growth of Beam–Plasma Instabilities in the Presence of Background Inhomogeneity

Multidimensional electron beam-plasma instabilities in the relativistic regime

Hierarchy of instabilities for two counter-streaming magnetized pair beams

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