Enhancement of particle trapping in the wave-particle interaction

Bachelard, Romain; Antoniazzi, Andrea; Chandre, Cristel; Fanelli, Duccio; Vittot, Michel

doi:10.1016/j.cnsns.2006.05.008

Cited by 2 publications

(1 citation statement)

References 12 publications

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“…Working along these lines, it was shown that QSS can be successfully interpreted as equilibria of the collisionless Vlasov equation which appears to rule the dynamics of a broad family of long range models, when recovering the continuum picture from the governing discrete formulation. The average characteristics of the QSS, including the emergence of out-of-equilibrium transitions, can be analytically predicted via a maximum entropy variational principle, pioneered by Lynden-Bell in [14] and more recently revisited with reference to paradigmatic long-range applications [7,8,15]. As we shall clarify in the forthcoming sections, the predictive adequacy of the Lynden-Bell violent relaxation theory has been so far solely assessed for a very specific class of initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Statistical theory of quasistationary states beyond the single water-bag case study

et al. 2012

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An analytical solution for the out-of-equilibrium quasistationary states of the paradigmatic Hamiltonian mean field (HMF) model can be obtained from a maximum entropy principle. The theory has been so far tested with reference to a specific class of initial condition, the so called (single-level) water-bag type. In this paper a step forward is taken by considering an arbitrary number of overlapping water bags. The theory is benchmarked to direct microcanonical simulations performed for the case of a two-level water-bag. The comparison is shown to return an excellent agreement.

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Section: Introductionmentioning

confidence: 99%

Statistical theory of quasistationary states beyond the single water-bag case study

et al. 2012

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Negative-Mass Instability in Nonlinear Plasma Waves

et al. 2013

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The negative-mass instability (NMI), previously found in ion traps, appears as a distinct regime of the sideband instability in nonlinear plasma waves with trapped particles. As the bounce frequency of these particles decreases with the bounce action, bunching can occur if the action distribution is inverted in trapping islands. In contrast to existing theories that also infer instabilities from the anharmonicity of bounce oscillations, spatial periodicity of the islands turns out to be unimportant, and the particle distribution can be unstable even if it is flat at the resonance. An analytical model is proposed which describes both single traps and periodic nonlinear waves and concisely generalizes the conventional description of the sideband instability in plasma waves. The theoretical results are supported by particle-in-cell simulations carried out for a regime accentuating the NMI effect. Introduction. -It is well known that bounce oscillations of particles autoresonantly trapped in a wave can couple to wave sidebands, rendering them unstable [1][2][3]. The sideband instability (SI) was extensively studied in the past [4][5][6][7][8], more recently in application to free electron lasers [9] and storage rings [10], and now is attracting renewed attention [11,12] in the context of intense laserplasma interactions (LPI) and the associated trappedparticle modulational instability (TPMI) [13], which is the SI's geometrical-optics limit [14]. Yet little effort was paid to unifying SI theories that appeared after the original Kruer-Dawson-Sudan work [1], further termed KDS. As a consequence, their results are often neglected today, and that, in turn, leads to misapplications [15]. Thus, even though quantitative predictions may be better left to simulations in any case, a transparent theory is needed (particularly as a practical tool for interpreting LPI-related numerical data) that would both comprehensively capture and elucidate the SI paradigmatic physics.

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Enhancement of particle trapping in the wave-particle interaction

Cited by 2 publications

References 12 publications

Statistical theory of quasistationary states beyond the single water-bag case study

Statistical theory of quasistationary states beyond the single water-bag case study

Negative-Mass Instability in Nonlinear Plasma Waves

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