Particle-in-cell simulations of beam-driven electrostatic waves in a plasma

Koen, Etienne J.; Collier, A. B.; Maharaj, S. K.

doi:10.1063/1.3695402

Cited by 15 publications

(11 citation statements)

References 25 publications

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“…ω 2 e = ω 2 pe H0 + ( cξo H0 ) 2 k 2 [30], should the other two species be neglected). Finally, the third term represents the beam, involving the beam plasma frequency ω pb and the beam velocity U b0 : neglecting the other two components, this term would lead to a beam-driven beam mode, ω b = kU b0 ± ω pb [21,22,32]. Qualitatively speaking, the above dispersion relation therefore represents a mixing between the three latter frequencies ω e,i,b , which are respectively modified due to interactions among them.…”

Section: Linear Dispersion Relationmentioning

confidence: 99%

“…We proceed by introducing ω = ω r + iω i into equation (22), separating real from imaginary parts and then solving the resulting equations numerically, where ω r and ω i respectively represent the real part and the imaginary part (growth rate) of the frequency ω. The procedure reveals the existence of six dispersion curves, which are arranged in pairs.…”

Section: Linear Dispersion Relationmentioning

confidence: 99%

“…The excitation of electrostatic (ES) nonlinear localized waves [16,17] via ion beam injection into plasma has been studied theoretically, via small-amplitude [18,19] or largeamplitude nonlinear wave phenomenology [20] and also numerically, e.g. via particle-in-cell (PIC) simulations [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

2017

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A relativistic quantum-hydrodynamic plasma model is proposed, to model the propagation of electrostatic waves in an ultradense quantum electron-ion plasma in the presence of an ion beam. A dispersion relation is derived for harmonic waves, and the stability of electrostatic wavepackets is investigated. Three types of waves are shown to exist, representing a modified electron plasma (Langmuir-type) mode, a low-frequency ion acoustic mode, and an ion-beam driven mode, respectively. Stability analysis reveals the occurrence of an imaginary frequency part in three regions. The dependence of the instability growth rate on the ion beam parameters (concentration and speed) has been investigated.

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Section: Linear Dispersion Relationmentioning

confidence: 99%

Section: Linear Dispersion Relationmentioning

confidence: 99%

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Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

2017

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“…Nonlinear electrostatic (ES) localized modes (nonlinear waves) occur widely in plasmas [26,27]; the impact of ion beam injection in a plasma has been studied theoretically [28] and also numerically, e.g. via particle-in-cell (PIC) simulations [29][30][31][32][33].…”

Section: Introductionmentioning

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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“…[1][2][3][4][5][6][7][8][9] As shown in many studies based on particle-in-cell simulations, ESWs may easily be generated by the electrostatic streaming instability, [10][11][12][13] including both bistreaming and bump-on-tail instabilities associated with the ESWs observed in the auroral region and magnetotail plasma sheet boundary layer, respectively. [3][4][5][6][7] In multi-dimensional systems and via streaming instabilities, solitary structures, however, may form in a steady manner only for certain magnitudes of background magnetic field and for unmagnetized or weakly magnetized plasmas the formed solitary structures may inevitably be destroyed in the nonlinear evolution process.…”

Section: Introductionmentioning

confidence: 99%

Fluid theory and kinetic simulation of two-dimensional electrostatic streaming instabilities in electron-ion plasmas

Jao

Hau

2016

Physics of Plasmas

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Electrostatic streaming instabilities have been proposed as the generation mechanism for the electrostatic solitary waves observed in various space plasma environments. Past studies on the subject have been mostly based on the kinetic theory and particle simulations. In this paper, we extend our recent study based on one-dimensional fluid theory and particle simulations to two-dimensional regimes for both bi-streaming and bump-on-tail streaming instabilities in electron-ion plasmas. Both linear fluid theory and kinetic simulations show that for bi-streaming instability, the oblique unstable modes tend to be suppressed by the increasing background magnetic field, while for bump-on-tail instability, the growth rates of unstable oblique modes are increased with increasing background magnetic field. For both instabilities, the fluid theory gives rise to the linear growth rates and the wavelengths of unstable modes in good agreement with those obtained from the kinetic simulations. For unmagnetized and weakly magnetized systems, the formed electrostatic structures tend to diminish after the long evolution, while for relatively stronger magnetic field cases, the solitary waves may merge and evolve to steady one-dimensional structures. Comparisons between one and two-dimensional results are made and the effects of the ion-to-electron mass ratio are also examined based on the fluid theory and kinetic simulations. The study concludes that the fluid theory plays crucial seeding roles in the kinetic evolution of electrostatic streaming instabilities.

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Particle-in-cell simulations of beam-driven electrostatic waves in a plasma

Cited by 15 publications

References 25 publications

Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

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

Fluid theory and kinetic simulation of two-dimensional electrostatic streaming instabilities in electron-ion plasmas

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