Multidimensional electron beam-plasma instabilities in the relativistic regime
By A. Bret, L. Gremillet, M. Dieckmann. 2010
231 citations recorded by the source corpus.
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–Juttner model distributions. The main properties of the competing modes (developing parallel, transverse, and oblique to the beam) 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.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/275b1e1809363089ea7353a297bc6b33654b8480
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Citations in the corpus
- Diagnostics for plasma-based electron accelerators (2018, background): “The self-modulation beam-plasma instability (Bret et al., 2010) has emerged as a key first step in re-shaping τb ∼ 300 ps, TeV proton bunches from the CERN Super Proton Synchrotron (SPS) or Large Hadron Collider (LHC) into λp-spaced multi-bunch trains that can excite high-gradient (E0 & 108 V/cm,…”
- Smilei : A collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation (2017, background): “In particular, we study the Weibel (or current filamentation) instability [71, 72, 73] that is observed in most of the astrophysical relativistic outflows interacting with the interstellar medium.”
- THE MAXIMUM ENERGY OF ACCELERATED PARTICLES IN RELATIVISTIC COLLISIONLESS SHOCKS (2013, background): “The drop at late times is driven by a decrease in the strength of the Weibel turbulence, as a result of heating in the pre-shock medium (see Bret et al. 2010a, for a 6 More precisely, the fluctuations that get self-excited in σ & 10−2 shocks (cyclotron modes and their harmonics) have a short path…”