Nonlinear low-frequency collisional quantum Buneman instability

Haas, Fernando; Bret, Antoine

doi:10.1209/0295-5075/97/26001

Cited by 44 publications

(38 citation statements)

References 31 publications

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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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Section: Discussionmentioning

confidence: 99%

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

2017

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“…We consider a three-component plasma system containing cold quantum electron fluid with Fermi energy E F [24,25], inertialess, superthermal [8,9] or hot electron component, and uniformly distributed stationary ions [10]. Thus, at equilibrium we have n c0 + n h0 = n i0 , where n s0 is the equilibrium number density of plasma species s (s = c for cold electron species, s = h for hot electron species, and s = i for stationary ion species).…”

Section: Governing Equationsmentioning

confidence: 99%

“…Thus, at equilibrium we have n c0 + n h0 = n i0 , where n s0 is the equilibrium number density of plasma species s (s = c for cold electron species, s = h for hot electron species, and s = i for stationary ion species). The dynamics of the QEA waves in such a three-component quantum plasma system is governed by the following set of QHD equations [24,25,29,30,31]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…Recent investigations [20,21,22,23] based on quantum hydrodynamic (QHD) model show a number of significant differences in nonlinear features of quantum plasmas from those in classical electron-ion plasmas. The QHD model is a useful approximation to study the short-scale nonlinear structures in dense (degenerate) quantum plasmas [24,25], where the effects of degenerate (instead of thermal) pressure, exchange correlation potential, and Bohm potential can be included.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Electron-acoustic Envelope Solitons and Their Modulational Instability in a Degenerate Quantum Plasma

Siddiki¹,

Mamun²,

Amin³

2018

AdAp

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The basic features of linear and nonlinear quantum electron-acoustic (QEA) waves in a degenerate quantum plasma (containing non-relativistically degenerate electrons, superthermal or κ-distributed electrons, and stationary ions) are theoretically investigated. The nonlinear Schödinger (NLS) equation is derived by employing the reductive perturbation method. The stationary solitonic solution of the NLS equation is obtained, and examined analytically as well as numerically to identify the basic features of the QEA envelope solitons. It has been found that the effects of the degeneracy and exchange/Bohm potentials of cold electrons, and superthermality of hot electrons significantly modify the basic properties of linear and nonlinear QEA waves. It is observed that the QEA waves are modulationally unstable for k < kc, where kc is the maximum (critical) value of the QEA wave number k below which the QEA waves are modulationally unstable), and that for k < kc the solution of the NLS equation gives rise to the bright envelope solitons, which are found to be localized in both spatial (ξ) and time (τ ) axes. It is also observed that as the spectral index κ is increased, the critical value of the wave number (amplitude of the QEA envelope bright solitons) decreases (increases). The implications of our results should be useful in understanding the localized electrostatic perturbation in solid density plasma produced by irradiating metals by intense laser, semiconductor devices, microelectronics, etc.

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“…Most of these works are based on quantum hydrodynamic (QHD) model of plasmas. This model is very useful to study the short-scale collective phenomena, such as waves, instabilities, linear and nonlinear interactions in dense plasmas [13][14][15]. By the inclusion of the statistical degeneracy pressure and quantum diffraction (known as the Bohm potential) terms, QHD model becomes a generalization of the usual fluid model.…”

Section: Introductionmentioning

confidence: 99%

Acousto-Electric Interaction in Magnetised Piezoelectric Semiconductor Quantum Plasma

Ghosh

Muley

2016

Acta Phys. Pol. A

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Amplification of an acoustic wave is considered in magnetised piezoelectric n-type semiconductor plasma under quantum hydrodynamic regime. The important ingredients of this study are the inclusion of quantum diffraction effect via the Bohm potential, statistical degeneracy pressure, and externally applied magnetostatic field in the momentum balance equation of the charged carriers. A modified dispersion relation is derived for evolution of acoustic wave by employing the linearization technique. Detailed analysis of quantum modified dispersion relation of acoustic wave is presented. For a typical parameter range, relevant to n-InSb at 77 K, it is found that the non-dimensional quantum parameter H reduces the gain while magnetic field enhances the gain of acoustic wave. The crossover from attenuation to amplification occurs at (ϑ0/ϑs) = 1 and this crossover point is found to be unaffected by quantum correction and magnetic field. It is also found that the maximum gain point shifts towards lower drift velocity regime due to the presence of magnetic field while quantum parameter H shifts this point towards higher drift velocity. Numerical results on the acoustic gain per radian and acoustic gain per unit length are also illustrated. Our results could be useful in understanding acoustic wave propagation in magnetised piezoelectric semiconductor in quantum regime.

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Nonlinear low-frequency collisional quantum Buneman instability

Cited by 44 publications

References 31 publications

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

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

Quantum Electron-acoustic Envelope Solitons and Their Modulational Instability in a Degenerate Quantum Plasma

Acousto-Electric Interaction in Magnetised Piezoelectric Semiconductor Quantum Plasma

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