Relativistic Landau damping of longitudinal waves in isotropic pair plasmas

Laing, E. W.; Diver, D. A.

doi:10.1063/1.2353901

Cited by 13 publications

(10 citation statements)

References 15 publications

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“…The Landau damping of longitudinal waves in isotropic pair plasmas is well-known, even in the relativistic regime [34]. For the simple(r) non-relativistic case, standard procedures can be applied.…”

Section: B Kinetic Resultsmentioning

confidence: 99%

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Parametric pulse amplification by acoustic quasimodes in electron-positron plasma

2017

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In a recent paper, M. R. Edwards, N. J. Fisch, and J. M. Mikhailova [Phys. Rev. Lett. 116, 015004 (2016)PRLTAO0031-900710.1103/PhysRevLett.116.015004] reported that in electron-positron plasma stimulated Brillouin scattering is drastically enhanced, while stimulated Raman scattering is completely absent. However, when theory was compared to particle-in-cell (PIC) simulations, a discrepancy by at least a factor four appeared. Authors correctly argued that the disparity might be due to the fluid approximation of the low-frequency mode. They noted that a more precise analytic description of the acoustic resonance requires a kinetic approach, which was beyond the scope of the mentioned paper. Here we deliver the so-far-missing kinetic calculation. It shows quite good agreement with the PIC simulations presented in the above-mentioned paper by Edwards et al. The principal result of enhancement of Brillouin scattering and absence of Raman scattering remains valid. The Brillouin enhancement factors depend on electron temperature and background particle density. These dependencies as well as the transition to the well-known behavior of electron-ion plasma are discussed. It is also shown that pulse amplification in electron-positron plasma crosses over to the strong-coupling regime when the pump amplitude becomes large. Then, the fluid approximation becomes acceptable again.

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Section: B Kinetic Resultsmentioning

confidence: 99%

“…Having in mind that ζ ≡ x − iy is a complex quantity, one must ensure the simultaneous solution of (∆) = (∆) = 0, as discussed in Ref [34]. Figure is defined in (9), and x = (ζ), y = − (ζ).…”

Section: B Kinetic Resultsmentioning

confidence: 99%

Parametric pulse amplification by acoustic quasimodes in electron-positron plasma

2017

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“…As shown in Refs. [30,32] for an isotropic plasma (β ds = 0), the supraluminal electrostatic modes (with ω/k > c) exist only over a finite interval 0 ≤ k z ≤ k c± (for a positive wavenumber). The critical value k c± defined by ω L (k c± ) = ±k c± c, depends on the sign of the phase velocity.…”

Section: Dispersion Relationmentioning

confidence: 99%

Electromagnetic fluctuations and normal modes of a drifting relativistic plasma

et al. 2013

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We present an exact calculation of the power spectrum of the electromagnetic fluctuations in a relativistic equilibrium plasma described by Maxwell-Jüttner distribution functions. We consider the cases of wave vectors parallel or normal to the plasma mean velocity. The relative contributions of the subluminal and supraluminal fluctuations are evaluated. Analytical expressions of the spatial fluctuation spectra are derived in each case. These theoretical results are compared to particle-in-cell simulations, showing a good reproduction of the subluminal fluctuation spectra.

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“…It is essential to take the relativistic effects into consideration [29]. Although e-p plasmas in the pulsar magnetospheres are magnetized, yet those in early universe [30] and inside the gamma-ray burst fireball at the initial phase of its expansion [31] are likely to be un-magnetized.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Behavior of Electromagnetic Waves in Ultra‐Relativistic Electron‐Positron Plasmas

Liu

2010

Contrib. Plasma Phys.

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A set of nonlinear equations which can self-consistently describe the behavior of high frequency Electromagnetic (EM) waves in un-magnetized, ultra-relativistic electron-positron (e-p) plasmas is obtained on the basis of Vlasov-Maxwell equations. Nonlinear wave-wave, wave-particle interactions lead to the coupling of high frequency EM waves with low frequency density perturbations which result from EM waves radiation pressure. The same as that in conventional electron-ion (e-i) plasmas, strong EM waves in e-p plasmas will give rise to density depletion in which itself are trapped. But on the contrary to that in e-i plasmas, there no longer exists electrostatic acoustic-like wave in e-p plasmas due to the absence of mass difference. For linear polarized EM waves, a stationary EM soliton with a spiky structure will be formed. The possible relation of the localized field to pulsar radio pulse is discussed.

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Relativistic Landau damping of longitudinal waves in isotropic pair plasmas

Cited by 13 publications

References 15 publications

Parametric pulse amplification by acoustic quasimodes in electron-positron plasma

Parametric pulse amplification by acoustic quasimodes in electron-positron plasma

Electromagnetic fluctuations and normal modes of a drifting relativistic plasma

Nonlinear Behavior of Electromagnetic Waves in Ultra‐Relativistic Electron‐Positron Plasmas

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