Ion-acoustic shocks in quantum electron-positron-ion plasmas

Roy, Kaushik; Misra, A. P.; Chatterjee, Prasanta

doi:10.1063/1.2896231

Cited by 109 publications

(47 citation statements)

References 46 publications

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“…However, there are various quantum plasma systems in which both dissipation and dispersion play roles. Such important roles have been studied in different quantum plasma systems for the formation of ion-acoustic shocks (where the dissipation is due to kinematic viscosity) recently by Sahu et al [30] and Misra et al [26].…”

Section: Introductionmentioning

confidence: 99%

“…Unlike classical fluids, quantum plasmas typically exhibit dispersion due to the quantum tunneling associated with the Bohm potential instead of dissipation [22][23][24][25][26]. For this reason, even a quantum shock propagating with constant velocity in a uniform media does not exhibit a stationary structure.…”

Section: Introductionmentioning

confidence: 99%

“…For this reason, even a quantum shock propagating with constant velocity in a uniform media does not exhibit a stationary structure. Transition from initial to compressed quantum media occurs in the form of a train of solitons propagating with different velocities and with different amplitudes [22][23][24][25][26]. Such a train of solitons also provides a non-monotonic transition from the initial to final state of the medium.…”

Section: Introductionmentioning

confidence: 99%

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Dust ion-acoustic shocks in quantum dusty pair-ion plasmas

Misra

2009

Physics of Plasmas

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The formation of dust ion-acoustic shocks (DIASs) in a four-component quantum plasma whose constituents are electrons, both positive and negative ions and immobile charged dust grains, is studied. The effects of both the dissipation due to kinematic viscosity and the dispersion caused by the charge separation as well as the quantum tunneling due to the Bohm potential are taken into account. The propagation of small but finite amplitude dust ion-acoustic waves (DIAWs) is governed by the Korteweg-de Vries-Burger (KdVB) equation which exhibits both oscillatory and monotonic shocks depending not only on the viscosity parameters η ± = µ ± ω p− /c 2 s (where µ ± are the coefficients of kinematic viscosity, ω p− is the plasma frequency for negative ions and c s is the ion-sound speed) but also on the quantum parameter H (the ratio of the electron plasmon to the electron Fermi energy) and the positive to negative ion density ratio β. Large amplitude stationary shocks are recovered for a Mach number (M ) exceeding its critical value (M c ). Unlike the small amplitude shocks, quite a smaller value of η + , η − , H and β may lead to the large amplitude monotonic shock strucutres. The results could be of importance in astrophysical and laser produced plasmas.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dust ion-acoustic shocks in quantum dusty pair-ion plasmas

Misra

2009

Physics of Plasmas

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“…Sahu and Singha [52] investigated the arbitrary amplitude ion acoustic solitary waves as well as double-layer structures for an ultra-relativistic degenerate dense plasma comprising cold and hot electrons and inertial ultra-cold ions. Formation of IA solitons [5], double layers or shocks [46] and vortices [21] has been studied in quantum plasmas.…”

Section: Introductionmentioning

confidence: 99%

Solitary and double-layer structures in quantum bi-ion plasma

Shahmansouri

Tribeche

2016

J Theor Appl Phys

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Weak ion-acoustic solitary waves (IASWs) in an unmagnetized quantum plasmas having two-fluid ions and fluid electrons are considered. Using the one-dimensional quantum hydrodynamics model and then the reductive perturbation technique, a generalized form of nonlinear quantum Korteweg-de Vries (KdV) equation governing the dynamics of weak ion acoustic solitary waves is derived. The effects of ion population, warm ion temperature, quantum diffraction, and polarity of ions on the nonlinear properties of these IASWs are analyzed. It is found that our present plasma model may support compressive as well as rarefactive solitary structures. Furthermore, formation and characteristics properties of IA double layers in the present bi-ion plasma model are investigated. The results of this work should be useful and applicable in understanding the wide relevance of nonlinear features of localized electro-acoustic structures in laboratory and space plasma, such as in super-dense astrophysical objects [24] and in the Earth's magnetotail region (Parks [43]. The implications of our results in some space plasma situations are discussed.

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“…There has also been much interests in investigating strucures and dynamics of shock waves in various quantum plasma media [24][25][26][27] In this letter, we derive a governing equatuion that describes the dynamics of magnetosonic waves (MSWs) in a quantum electron-ion plasma. The governing KdVB equation contains both dispersive term due to Bohm potential and the dissipative term due to plasma resistivity (neglecting other effects viz., thermal conduction, viscosity etc.…”

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confidence: 99%

Spin magnetosonic shock-like waves in quantum plasmas

Misra¹,

Ghosh²

2008

Physics Letters A

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The one-dimensional shock structures of magnetosonic waves (MSWs) propagating in a dissipative quantum plasma medium is studied. A quantum magnetohydrodynamic (QMHD) model is used to take into account the quantum force term due to Bohm potential and the pressure-like spin force term for electrons. The nonlinear evolution (Korteweg de-Vries-Burger ) equation, derived to describe the dynamics of small amplitude MSWs, where the dissipation is provided by the plasma resistivity, is solved numerically to obtain both oscillatory and monotonic shock structures. The shock strength decreases with increasing the effects of collective tunneling and increases with increasing the effects of spin alignment. The theoretical results could be of importance for astrophysical (e.g., magnetars) as well as for ultracold laboratory plasmas (e.g., Rydberg plasmas).

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Ion-acoustic shocks in quantum electron-positron-ion plasmas

Cited by 109 publications

References 46 publications

Dust ion-acoustic shocks in quantum dusty pair-ion plasmas

Dust ion-acoustic shocks in quantum dusty pair-ion plasmas

Solitary and double-layer structures in quantum bi-ion plasma

Spin magnetosonic shock-like waves in quantum plasmas

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