Propagation and interaction of two soliton in a quantum semiconductor plasma with exchange correlation effects

Choudhury, Sourav; Das, Tushar Kanti; Ghorui, Malay Kumar; Chatterjee, Prasanta

doi:10.1063/1.4984994

Cited by 23 publications

(10 citation statements)

References 56 publications

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“…Figure 3 shows a density plot for the oblique collision of the two soliton solutions in Eqs. (34) and (35) where the impact of is clear in the two panels of Fig. 3.…”

Section: Numerical Analysis and Discussionmentioning

confidence: 93%

“…Behery et al studied the propagation and stability of non-linear solitons by getting the Zakharov-Kuznetsov equation in a supersonic relativistic quantum plasma indicating their despersion properties and highlighting the possible applications in both space and laboratory plasma 34 . Choudhury et al 35 have studied a two soliton interaction in a semiconductor of quantum plasma, also they investigated the effect of quantum diffraction parameter and hole to electron equilibrium density ratio on the phase shifts.…”

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confidence: 99%

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Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

El‐Labany

El-Taibany

Behery

et al. 2020

Sci Rep

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The interaction (oblique collision) of two ion acoustic solitons (IASs) in a magnetized relativistic degenerate plasma with relativistic degenerate electrons and non-degenerate cold ions is studied. The extended Poincaré–Lighthill–Kuo (PLK) method is used to obtain two Korteweg deVries (KdV) wave equations that describe the interacting IASs, then the phase shifts due to interaction are calculated. We studied influence of the fluid number density on the interaction process, interacting solitons phase shifts and also phase velocities. The introduced model is valid for astrophysical objects with high density matter such as white dwarfs, neutron stars, degenerate electrons gas in metals and laboratory degenerate plasma. An inverse proportionality between the phase shifts, phase velocity and the equilibrium electron fluid number density $$n_{eo}$$ n eo was established in the range $$10^{35}\,{\text {m}}^{-3}>n_{eo}>10^{38}\,{\text {m}}^{-3}$$ 10 35 m - 3 > n eo > 10 38 m - 3 . We found that the soliton waves get sharper (narrower) and higher with increasing the electrons fluid number density $$n_{eo}$$ n eo , and hence less spacial occupying. The phase shifts and the phase velocity remain approximately unchanged in the range of $$10^{35}\,{\text {m}}^{-3}<n_{eo}<10^{38}\,{\text {m}}^{-3}$$ 10 35 m - 3 < n eo < 10 38 m - 3 . The impact of the obliqueness angle $$\theta $$ θ on the soliton interaction process is also studied.

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“…Figure 3 shows a density plot for the oblique collision of the two soliton solutions in Eqs. (34) and (35) where the impact of is clear in the two panels of Fig. 3.…”

Section: Numerical Analysis and Discussionmentioning

confidence: 93%

mentioning

confidence: 99%

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

El‐Labany

El-Taibany

Behery

et al. 2020

Sci Rep

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“…This inter band transition of the electrons creates holes in the valence band and this state may satisfy the semiconductor plasma conditions. It has also been observed that in recent semiconductor structures [13], the characteristic scale lengths of impurity variations are comparable to the characteristic electron hole de-Broglie thermal wavelengths. Thus for semiconductor quantum devices [13] working at nano scales, it is quite important to understand and investigate the quantum mechanical effects on the dynamics of the electronhole charge carriers [17].…”

Section: Introductionmentioning

confidence: 82%

“…In a system, a gas with all the filled lowest energy quantum states is known as degenerate and the corresponding pressure is called Fermi pressure [8,9], which is a function density concentration of fermions. Such degenerate quantum plasma [10][11][12][13] may significantly alter the dispersive properties of linear/nonlinear waves and associated instabilities by taking into account new quantum forces and pressure laws.…”

Section: Introductionmentioning

confidence: 99%

Low frequency Compressional modes in degenerate semiconductor plasmas

Ch.

Maryam

2022

Semiconductors

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Properties of low frequency compressional electromagnetic wave pulse in a magnetized semiconductor hole-electron plasma, are investigated. The quantum mechanical effects such as Fermi pressure, quantum tunneling and exchange-correlation potential of inertialess electrons, inertial holes and stationary charged ion particulates are considered in the presence of the magnetic field. A new type of dispersion relation is derived for low-frequency compressional waves by employing quantum magneto-hydrodynamic model and Maxwell equations; the dispersion relation is then analyzed for parallel, perpendicular and oblique propagation of compressional electromagnetic wave pulse to the external magnetic field direction. We have analyzed the obtained dispersion relations numerically, for different semiconductor plasma such as GaAs, GaSb and, GaN, the graphs shows that the frequency of compressional electromagnetic wave pulse decreases with increase of electron-hole density concentration, whereas the frequency increases with the increase of angle of propagation compressional electromagnetic wave pulse. Our results are applicable to understanding the dynamics of semiconductor plasma to produce high power, high band-width devices in contrast to the existing gas plasma devices. Keywords: degenerate semiconductor plasma, quantum mechanical effects, compression electromagnetic wave, gas plasma device.

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“…Han et al reported on the interaction between the quantum electron–ion magnetoplasma with spin‐1/2 non‐relativistic degenerate electrons. Sourav et al studied the collision of multi‐solitons in a quantum semiconductor plasma with exchange correlation effects. El‐Labany discussed the interaction of dust acoustic (DA) solitons in magnetized plasma with the effect of dust pressure anisotropy.…”

Section: Introductionmentioning

confidence: 99%

Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia

Shahida

Mahmood

Qamar

et al. 2018

Contributions to Plasma Physics

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The head-on collision between two magnetoacoustic solitons is investigated in a magnetized plasma containing inertial cold ions and warm electrons. A two-fluid magnetohydrodynamic (MHD) model is used to study the magnetoacoustic solitons interaction in plasmas. The magnetoacoustic wave dispersion effects appearing through electron inertial length (skin depth) are also included in the model. By using the extended Poincaré-Lighthill-Kuo (PLK) method, the Korteweg-de Vries (KdV) equations are derived for the low amplitude left and right moving magnetoacoustic solitons, their trajectories, and corresponding phase shifts after their elastic collisions are obtained analytically and examined numerically as well. It is found that only positive polarity (compressive) soliton structures of magnetoacoustic waves are formed. The profiles of head-on collision and the time evolution of two compressive interacting magnetoacoustic solitons are also presented for illustration. The effect of plasma beta, which depends on plasma density, electron temperature, and magnetic field intensity, on the phase shift of the interacting magnetoacoustic solitons is also examined.

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Propagation and interaction of two soliton in a quantum semiconductor plasma with exchange correlation effects

Cited by 23 publications

References 56 publications

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

Low frequency Compressional modes in degenerate semiconductor plasmas

Interaction of magnetoacoustic solitons in plasmas with dispersion effects through electron inertia

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