Parametric instabilities in quantum plasmas with electron exchange—correlation effects

He, Chunqing; Xue, Ju-Kui

doi:10.1088/1674-1056/22/2/025202

Cited by 21 publications

(6 citation statements)

References 29 publications

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“…Considering electrostatic wave propagation around a homogeneous equilibrium, linearizing Eqs. ( 9) to (11), and including also the classical ion contribution to the charge density (in the zero temperature limit), we can write the hydrodynamic version of the dispersion relation in the same form as Eq. (8).…”

Section: B the Quantum Hydrodynamic Casementioning

confidence: 99%

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Do hydrodynamic models based on time-independent density functional theory misestimate exchange effects? Comparison with kinetic theory for electrostatic waves

2019

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We have extended previous quantum kinetic results to compute the exchange correction to the electrostatic electron susceptibility for arbitrary frequencies and wavenumbers in the low temperature limit. This has allowed us to make a general comparison with a much used hydrodynamic expression, based on density functional theory, for exchange effects. For low phase velocities, as for ion-acoustic waves, wave-particle interaction leads to a strong enhancement of the exchange correction and the hydrodynamic result is smaller by an order of magnitude. The hydrodynamic expression gives a useful approximation when the phase velocity is 2.5 times the Fermi velocity. If this condition is not fulfilled, the hydrodynamical theory gives misleading results. We discuss the implications of our results for model choice for quantum plasmas, especially regarding particle dispersive effects. arXiv:1809.05423v2 [physics.plasm-ph]

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Section: B the Quantum Hydrodynamic Casementioning

confidence: 99%

“…It was introduced in Ref. 10 and has been much used since then [11][12][13][14][15][16][17][18][19][20] .…”

Section: Introductionmentioning

confidence: 99%

Do hydrodynamic models based on time-independent density functional theory misestimate exchange effects? Comparison with kinetic theory for electrostatic waves

2019

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“…The electrostatic charge of these heavy dust grains is in the range of several orders of the electronic charge e [7,8]. These heavy and charged dust grains change the temporal and spatial behaviors of the plasma, which leads to new waves, instabilities, etc [1,9]. Specifically, the presence of these dust particles plays an important role in wave propagation in plasmas and their associated instabilities.…”

Section: Introductionmentioning

confidence: 99%

Effect of polarization force on the Jeans instability in collisional dusty plasmas

Abbasi¹,

Vaziri²

2018

Plasma Sci. Technol.

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The Jeans instability in collisional dusty plasmas has been analytically investigated by considering the polarization force effect. Instabilities due to dust-neutral and ion-neutral drags can occur in electrostatic waves of collisional dusty plasmas with self-gravitating particles. In this study, the effect of gravitational force on heavy dust particles is considered in tandem with both the polarization and electrostatic forces. The theoretical framework has been developed and the dispersion relation and instability growth rate have been derived, assuming the plane wave approximation. The derived instability growth rate shows that, in collisional dusty plasmas, the Jeans instability strongly depends on the magnitude of the polarization force.

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“…The effects of quantum static, quantum tunneling, and electron spin on linear and nonlinear collective behaviors in quantum plasmas have been well investigated by using the quantum hydrodynamic (QHD) equation. [8][9][10][11][12][13] Among them, one of the most important waves is the quantum ion acoustic wave (QIAW), which has applications to carbon nanotubes [14,15] and other laboratory and astrophysical settings. The small-amplitude QIAWs can be described by a Korteweg-de Vries (KdV) equation.…”

Section: Introductionmentioning

confidence: 99%

Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions

Liu¹,

Wang²,

Yan-Zhen³

2015

Chinese Phys. B

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The nonlinear propagation of quantum ion acoustic wave (QIAW) is investigated in a four-component plasma composed of warm classical positive ions and negative ions, as well as inertialess relativistically degenerate electrons and positrons. A nonlinear Schrödinger equation is derived by using the reductive perturbation method, which governs the dynamics of QIAW packets. The modulation instability analysis of QIAWs is considered based on the typical parameters of the white dwarf. The results exhibit that both in the weakly relativistic limit and in the ultrarelativistic limit, the modulational instability regions are sensitively dependent on the ratios of temperature and number density of negative ions to those of positive ions respectively, and on the relativistically degenerate effect as well.

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Parametric instabilities in quantum plasmas with electron exchange—correlation effects

Cited by 21 publications

References 29 publications

Do hydrodynamic models based on time-independent density functional theory misestimate exchange effects? Comparison with kinetic theory for electrostatic waves

Do hydrodynamic models based on time-independent density functional theory misestimate exchange effects? Comparison with kinetic theory for electrostatic waves

Effect of polarization force on the Jeans instability in collisional dusty plasmas

Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions

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