Photon and electron Landau damping in quantum plasmas

Mendonça, J. T.; Serbêto, A.

doi:10.1088/0031-8949/91/9/095601

Cited by 13 publications

(14 citation statements)

References 18 publications

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“…Equation (7) shows that the perturbations are in the form of waves propagating along the η -direction with a speed Ω/K. We substitute the stretched coordinates (5), and the expansions (6), and (7) into Eqs. (1) and (2) to obtain, respectively,…”

Section: Derivation Of the Nls Equationmentioning

confidence: 99%

Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma

2017

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We study the nonlinear wave modulation of Langmuir waves (LWs) in a fully degenerate plasma. Using the Wigner-Moyal equation coupled to the Poisson equation and the multiple scale expansion technique, a modified nonlocal nonlinear Schrödinger (NLS) equation is derived which governs the evolution of LW envelopes in degenerate plasmas. The nonlocal nonlinearity in the NLS equation appears due to the group velocity and multi-plasmon resonances, i.e., resonances induced by the simultaneous particle absorption of multiple wave quanta. We focus on the regime where the resonant velocity of electrons is larger than the Fermi velocity and thereby the linear Landau damping is forbidden. As a result, the nonlinear wave-particle resonances due to the group velocity and multiplasmon processes are the dominant mechanisms for wave-particle interaction. It is found that in contrast to classical or semiclassical plasmas, the group velocity resonance does not necessarily give rise the wave damping in the strong quantum regime where k ∼ mvF with denoting the reduced Planck's constant, m the electron mass and vF the Fermi velocity, however, the three-plasmon process plays a dominant role in the nonlinear Landau damping of wave envelopes. In this regime, the decay rate of the wave amplitude is also found to be higher compared to that in the modest quantum regime where the multi-plasmon effects are forbidden.

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Section: Derivation Of the Nls Equationmentioning

confidence: 99%

Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma

2017

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“…Apart from the aforementioned (linear) beam instability, one might expect solitary wave propagation to be affected by nonlinear beam-plasma or kinetic instabilities, such as Buneman type instabilities [55,56] or even Landau damping [57,58], a kinetic effect expectedly overlooked in the fluid picture adopted herein.…”

Section: Discussionmentioning

confidence: 99%

Ion-beam–plasma interaction effects on electrostatic solitary wave propagation in ultradense relativistic quantum plasmas

2017

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Ion-beam-plasma interaction effects on electrostatic solitary wave propagation in ultradense relativistic quantum plasmas Elkamash, I. S., Kourakis, I., & Haas, F. (2017 Publisher rights ©2017 American Physical Society. This work is made available online in accordance with the publisher's policies. Please refer to any applicable terms of use of the publisher. General rightsCopyright for the publications made accessible via the Queen's University Belfast Research Portal is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Understanding the transport properties of charged particle beams is not only important from a fundamental point of view, but also due to its relevance in a variety of applications. A theoretical model is established in this article, to model the interaction of a tenuous positively charged ion beam with an ultradense quantum electron-ion plasma, by employing a rigorous relativistic quantumhydrodynamic (fluid plasma) electrostatic model proposed in [M. McKerr et al, Phys. Rev. E, 90, 033112 (2014)]. A nonlinear analysis is carried out to elucidate the propagation characteristics and the existence conditions of large amplitude electrostatic solitary waves propagating in the plasma in the presence of the beam. Anticipating stationary profile excitations, a pseudo-mechanical energy balance formalism is adopted to reduce the fluid evolution equation to an ordinary differential equation. Exact solutions are thus obtained numerically, predicting localized excitations (pulses) for all of the plasma state variables, in response to an electrostatic potential disturbance. An ambipolar electric field form is also obtained. Thorough analysis of the reality conditions for all variables is undertaken, in order to determine the range of allowed values for the solitonic pulse speed and how it varies as a function of the beam characteristics (beam velocity, density).

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“…For parabolic systems, with dispersion relation E(k) = 2 k 2 /(2m 2 * ), we would have the local kinetic operator K{W} = ( k/m * ) • ∇W, which would lead to the well-known Wigner-Moyal equation describing, e.g. quantum plasmas in metallic or semi-conductor systems [49][50][51][52][53][54][55][56]. Equation (32) reads as one of the important results of this paper, for it is the quantum analogue of the well-known Boltzmann equation for a Dirac system.…”

Section: Classical Limit and The Boltzmann Equationmentioning

confidence: 99%

Weyl–Wigner description of massless Dirac plasmas: ab initio quantum plasmonics for monolayer graphene

2022

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We derive, from first principles and using the Weyl–Wigner formalism, a fully quantum kinetic model describing the dynamics in phase space of Dirac electrons in single-layer graphene. In the limit ℏ → 0, we recover the well-known semiclassical Boltzmann equation, widely used in graphene plasmonics. The polarizability function is calculated and, as a benchmark, we retrieve the result based on the random-phase approximation. By keeping all orders in ℏ, we use the newly derived kinetic equation to construct a fluid model for macroscopic variables written in the pseudospin space. As we show, the novel ℏ-dependent terms can be written as corrections to the average current and pressure tensor. Upon linearization of the fluid equations, we obtain a quantum correction to the plasmon dispersion relation, of order ℏ 2, akin to the Bohm term of quantum plasmas. In addition, the average variables provide a way to examine the value of the effective hydrodynamic mass of the carriers. For the latter, we find a relation in which Drude’s mass is multiplied by the square of a velocity-dependent, Lorentz-like factor, with the speed of light replaced by the Fermi velocity, a feature stemming from the quasi-relativistic nature of the Dirac fermions.

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Photon and electron Landau damping in quantum plasmas

Cited by 13 publications

References 18 publications

Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma

Effects of group velocity and multiplasmon resonances on the modulation of Langmuir waves in a degenerate plasma

Ion-beam–plasma interaction effects on electrostatic solitary wave propagation in ultradense relativistic quantum plasmas

Weyl–Wigner description of massless Dirac plasmas: ab initio quantum plasmonics for monolayer graphene

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