Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma

Ali, S.; Moslem, W. M.; Shukła, P. K.; Schlickeiser, R.

doi:10.1063/1.2750649

Cited by 228 publications

(122 citation statements)

References 31 publications

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“…For numerical scheme we may use values given in [52] for a typical white dwarf with number density ( ) …”

Section: Resultsmentioning

confidence: 99%

Electrostatic Rayleigh-Taylor Mode in Electron-Positron-Ion Quantum Plasma

Ali¹,

Ahmad²

2017

JMP

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Electrostatic Rayleigh-Taylor (ERT) mode/instability is studied in a non-uniform quantum magnetoplasma, whose constituents are electrons and positrons with fraction of ions. The effects of quantum corrections (i.e. Bohm potential and temperature degeneracy) and magnetic field on ERT mode are investigated with astrophysical plasma application. A generalized dispersion relation is deduced under the drift wave approximation. The presence of positron makes the dispersion relation a cubic equation. Different roots of both real and imaginary parts of the RT mode are examined by applying the Cardano's method of solving the cubic equation. The dispersion relation and the growth rates of RT instability are examined both analytically and numerically with effects of electron and positron density, and magnetic field variations. It is shown that the magnetic field and positron density have stabilizing effectuates on ERT mode while due to electron density the mode becomes unstable. The present work is anticipated to be of physical relevance in the studies of laboratory laser-produced plasmas as well as in the study of compact magnetized astrophysical objects like white dwarfs.

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“…For numerical scheme we may use values given in [52] for a typical white dwarf with number density ( ) …”

Section: Resultsmentioning

confidence: 99%

Electrostatic Rayleigh-Taylor Mode in Electron-Positron-Ion Quantum Plasma

Ali¹,

Ahmad²

2017

JMP

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“…The field of quantum plasma physics [1][2][3][4][5] has considerable interest having risen recently in connection with its potential applications in modern technology, in emerging miniaturization techniques. In quantum plasmas, due to inter-fermion distances much lower than its de Broglie wavelength and the influence of the Pauli exclusion rule, many quantum effects such as electron-tunnelling, degeneracy pressure and Landau quantization may occur [6][7][8].…”

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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“…Recently, there has been a growing interest in the investigation of collective processes in quantum plasmas [20][21][22][23][24][25][26][27][28][29][30][31][32][33]. For example, double layers [24], solitons [20,22,23,27], and modulation instability of envelope pulses [29][30][31][32][33] have been investigated in different dense plasma situations.…”

Section: Introductionmentioning

confidence: 99%

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

2009

Self Cite

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Abstract. Ion-acoustic envelope solitary waves in a very dense plasma comprised of the electrons, positrons and ions are investigated. For this purpose, the quantum hydrodynamic model and the Poisson equation are used. A modified nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The effects of the quantum correction and of the positron density on the propagation and stability of the envelope solitary waves are examined. The nonplanar (cylindrical/spherical) geometry gives rise to an instability period. The latter cannot exist for planar case and it affected by the quantum parameters, as well as the positron density. The present investigation is relevant to white dwarfs. PACS. 52.27.Cm Multicomponent and negative-ion plasmas -52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves) -52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions

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Linear and nonlinear ion-acoustic waves in an unmagnetized electron-positron-ion quantum plasma

Cited by 228 publications

References 31 publications

Electrostatic Rayleigh-Taylor Mode in Electron-Positron-Ion Quantum Plasma

Electrostatic Rayleigh-Taylor Mode in Electron-Positron-Ion Quantum Plasma

Acousto-Electric Interaction in Magnetised Piezoelectric Semiconductor Quantum Plasma

Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

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