Smooth quantum potential for the hydrodynamic model

Gardner, Colin; Ringhofer, Christian

doi:10.1103/physreve.53.157

Cited by 260 publications

(194 citation statements)

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“…To study quantum effects in plasmas, Klimontovich and Silin [9] derived a general kinetic equation for the quantum plasma, and linearizing that equation they obtained linear dispersion relations for transverse electromagnetic (EM) as well as longitudinal waves. The latter have also been studied by Pines [10], who reported the dispersion of electron plasma oscillations involving the Bohm potential [6] that causes electron tunneling.…”

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confidence: 99%

“…the interior of the white dwarfs, neutron stars/magnetars, supernovae), as well as in the next-generation intense laser-solid density plasma experiments [5], in nanowires and in micromechanical systems, one notices the importance of quantum electron tunneling effects [6] at nanoscales. In dense quantum plasmas, the de Broglie wavelength associated with the plasma particles is comparable to the interparticle spacing, and one uses either the Wigner-Maxwell equations [7] or quantum hydrodynamical models [8] to investigate numerous collective interactions [5].…”

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confidence: 99%

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Weibel instabilities in dense quantum plasmas

Tsintsadze¹,

Shukła

2008

J. Plasma Phys.

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Abstract. The quantum effect on the Weibel instability in an unmagnetized plasma is presented. Our analysis shows that the quantum effect tends to stabilize the Weibel instability in the hydrodynamic regime, whereas it produces a new oscillatory instability in the kinetic regime. A novel effect called the quantum damping, which is associated with the Landau damping, is disclosed. The new quantum Weibel instability may be responsible for the generation of non-stationary magnetic fields in compact astrophysical objects as well as in the forthcoming intense laser-solid density plasma interaction experiments.The Weibel instability [1] arises in a variety of plasmas including fusion plasmas, both magnetic and inertial confinement, space/astrophysical plasmas, as well as in plasmas created by high-intensity free-electron X-ray laser pulses. The Weibel instability is of significant interest since it generates quasi-stationary magnetic fields, which can account for seed magnetic fields in laboratory [2] and astrophysical plasmas [3]. The purely growing Weibel instability in a non-Maxwellian plasma is excited by the anisotropy of the electron distribution function. The linear and nonlinear aspects of the Weibel instability in classical electron-ion plasmas are fully understood [4].However, in dense plasmas, such as those in compact astrophysical objects (e.g. the interior of the white dwarfs, neutron stars/magnetars, supernovae), as well as in the next-generation intense laser-solid density plasma experiments [5], in nanowires and in micromechanical systems, one notices the importance of quantum electron tunneling effects [6] at nanoscales. In dense quantum plasmas, the de Broglie wavelength associated with the plasma particles is comparable to the interparticle spacing, and one uses either the Wigner-Maxwell equations [7] or quantum hydrodynamical models [8] to investigate numerous collective interactions [5]. To study quantum effects in plasmas, Klimontovich and Silin [9] derived a general kinetic equation for the quantum plasma, and linearizing that equation they obtained linear dispersion relations for transverse electromagnetic (EM) as well as longitudinal waves. The latter have also been studied by Pines [10], who reported the dispersion of electron plasma oscillations involving the Bohm potential [6] that causes electron tunneling.In this letter, we present new aspects of the Weibel instability in an unmagnetized quantum plasma. For our purposes, we use the dispersion relation k 2 c 2 /ω 2 = ε tr at https://www.cambridge.org/core/terms. https://doi

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confidence: 99%

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confidence: 99%

Weibel instabilities in dense quantum plasmas

Tsintsadze¹,

Shukła

2008

J. Plasma Phys.

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“…It is well known that the quantum effects can play a vital role in plasmas a) Electronic mail: mshmansouri@gmail.com b) Electronic mail: apmisra@visva-bharati.ac.in; apmisra@gmail.com when the de Broglie wavelength becomes comparable to the average inter-particle distance 19 . In such systems, the quantum effects significantly change the collective behaviors of plasma species [20][21][22][23] . For instance, the Bohm potential leads to appearance of higher-order corrections in the dispersion relation, meanwhile the spin magnetization contributes to the linear dispersion of electromagnetic modes 24,25 etc.…”

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confidence: 99%

Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation

Shahmansouri

Misra

2016

Physics of Plasmas

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The dispersion properties of elliptically polarized electromagnetic (EM) waves in a magnetized electronpositron-pair (EP-pair) plasma are studied with the effects of particle dispersion associated with the Bohm potential, the Fermi degenerate pressure, and the exchange-correlation force. Two possible modes of the extraordinary or X wave, modified by these quantum effects, are identified and their propagation characteristics are investigated numerically. It is shown that the upper-hybrid frequency, and the cutoff and resonance frequencies are no longer constants but are dispersive due to these quantum effects. It is found that the particle dispersion and the exchange-correlation force can have different dominating roles on each other depending on whether the X waves are of short or long wavelengths (in comparison with the Fermi Debye length). The present investigation should be useful for understanding the collective behaviors of EP plasma oscillations and the propagation of extraordinary waves in magnetized dense EP-pair plasmas.

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“…Possible applications of collective plasma accelerators lie in producing beams of energetic electrons, protons, and gamma rays, as well as femtosecond pulses and compact radiation sources for medicine. Plasma-based charged particle acceleration schemes are also holding promises for extremely high-energy charged particles and radiation sources from astrophysical plasmas as well.However, in very dense plasmas, such as those in astrophysical environments [15][16][17][18] and in the next-generation intense laser-solid density plasma experiments [19][20][21][22][23], there might appear novel effects at the nanoscale owing to the presence of the new electron pressure law and the quantum force involving the Bohm potential [24][25][26][27][28]. This happens because in dense quantum plasmas the electrons degenerate and they follow the Fermi-Thomas distribution.…”

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confidence: 99%

“…The second and third terms in the right-hand side of (4) are associated with the pressure law [33] (e.g. p e = (4π 2 2 /5m e )(3/8π) 2/3 n 5/3 e for non-relativistic degenerate electrons, where n e is the electron number density) and the Bohm potential [24], respectively, in dense plasmas. The electrons are coupled with ions via the space charge electric field.…”

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confidence: 99%

Excitation of ion wakefields by electromagnetic pulses in dense plasmas

Shukła¹

2009

J. Plasma Phys.

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Abstract. The excitation of electrostatic ion wakefields by electromagnetic pulses in a very dense plasma is considered. For this purpose, a wave equation for the ion wakefield in the presence of the ponderomotive force of the electromagnetic waves is obtained. Choosing a typical profile for the electromagnetic pulse, the form of the ion wakefields is deduced. The electromagnetic wave-generated ion wakefields can trap protons and accelerate them to high energies in dense plasmas.There are many proposals [1][2][3][4][5] for exciting high-phase speed intense electrostatic wakefields by electron bunches and laser beams in an unmagnetized electron-ion plasma [2,4,5]. Large-amplitude electron plasma waves are capable of accelerating electrons to extremely high energies, as demonstrated experimentally [6][7][8][9][10][11][12][13][14]. Possible applications of collective plasma accelerators lie in producing beams of energetic electrons, protons, and gamma rays, as well as femtosecond pulses and compact radiation sources for medicine. Plasma-based charged particle acceleration schemes are also holding promises for extremely high-energy charged particles and radiation sources from astrophysical plasmas as well.However, in very dense plasmas, such as those in astrophysical environments [15][16][17][18] and in the next-generation intense laser-solid density plasma experiments [19][20][21][22][23], there might appear novel effects at the nanoscale owing to the presence of the new electron pressure law and the quantum force involving the Bohm potential [24][25][26][27][28]. This happens because in dense quantum plasmas the electrons degenerate and they follow the Fermi-Thomas distribution.In this letter, we consider the excitation of electrostatic ion wakefields by electromagnetic (EM) waves [29][30][31][32] in a very dense plasma. For this purpose, we use the quantum fluid model for the degenerate electrons and derive the ion wakefield equation in the presence of the ponderomotive force of the EM waves. The profile of the ion wakefield is deduced by assuming a given EM pulse shape. The relevance of our investigation is also mentioned.

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Smooth quantum potential for the hydrodynamic model

Cited by 260 publications

References 7 publications

Weibel instabilities in dense quantum plasmas

Weibel instabilities in dense quantum plasmas

Elliptically polarized electromagnetic waves in a magnetized quantum electron-positron plasma with effects of exchange-correlation

Excitation of ion wakefields by electromagnetic pulses in dense plasmas

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