Deformed Korteweg-de Vries equation of two solitons in a quantum semiconductor plasma in the presence of electron-phonon collision frequency and exchange-correlation potential

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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“…Refs. 11,12,[15][16][17][18][19][20] Our comparison with kinetic theory, however, shows that such an approximation should be avoided.…”

Section: Discussionmentioning

confidence: 84%

“…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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“…In a Q-machine, inserting a grid Barkan et al, [14] Nakamura et al, [15] and Melrino et al [16] observed the plasma column in laboratory experiments. Some recent novel and important investigations have been reported in dusty plasma, [17,18] ordinary plasmas, [19][20][21][22] and quantum plasmas [23][24][25] where DASWs and IASWs structures have been extensively studied in the framework of two-dimensional nonlinear Kadomtsev-Petviashvili (KP), Kadomtsev-Petviashvili-Burgers (KPB) equations, three dimensional Zakharov-Kuznetsov (ZK), and Zakharov-Kuznetsov-Burgers (ZKB) equations. These investigations [17][18][19][20][21][22][23][24][25] might be very much effective to derive another nonlinear evolution equations from complicated physical problems modelled by complex nonlinear partial differential equations arising in mathematical physics, hydrodynamics, fluid mechanics, mathematical biology, plasma physics, engineering disciplines, chemistry, and many other natural sciences through straightforward calculations.…”

Section: Introductionmentioning

confidence: 99%

Variable dust charge generates a special type of nonlinear structures through modified Gardner equations

Ghosh

2022

Contributions to Plasma Physics

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Nonlinear damped modified Gardner equation is derived from the dust hydrodynamic model in dusty plasma, which is collisional, unmagnetized, and has two temperature ions. An extended version of the reductive perturbation technique (RPT) is used to derive the said equations. Approximate analytical solitary wave solution is obtained for compositional parameters near the critical composition. It is found that various nonlinear structures like super periodic, superhomoclinic, and special types of nonlinear structures are emerging while an investigation is done through the system of first‐order differential equations. The effects of different plasma parameters like collisions and dust charge variables on the wave structures have been noticed. In the circumstances of nebulas, interstellar clouds, planetary magnetospheres, and cometary environments recognized by astrophysicists, Voyager spacecraft observation on the fine structure of Saturn's rings, semiconductor devices, it has been investigated that the dust charge variable modifies the super nonlinear structures significantly.

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Study of the existence of solitary waves structures through damped modified Gardnar equations in semiconductor plasmas

Ghosh

2022

Eur. Phys. J. Plus

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Deformed Korteweg-de Vries equation of two solitons in a quantum semiconductor plasma in the presence of electron-phonon collision frequency and exchange-correlation potential

Cited by 4 publications

References 38 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

Variable dust charge generates a special type of nonlinear structures through modified Gardner equations

Study of the existence of solitary waves structures through damped modified Gardnar equations in semiconductor plasmas

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