Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

Heera, N.M.; Akter, J.; Tamanna, N.K.; Chowdhury, N. A.; Rajib, T. I.; Sultana, S.; Mamun, A. A.

doi:10.1063/5.0050519

Cited by 15 publications

(6 citation statements)

References 42 publications

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“…In equation (39), if we take r = 0 and the limit q → ∞ , we retrieve equation (33) of [40] by putting the positron concentration to zero and ignoring trapping of electrons. Similarly by ignoring the trapping effect of electrons and for r = 0 and q → κ + 1, we get the Burger equations (39) of [45] for free kappa distributed electrons and positron. Again for r = 0 and q → κ + 1, we get the modified Burger equation (30) of [46] in the presence of kappa distributed trapped electrons and kappa distributed free positron.…”

Section: Burgers' Equation In the Presence Of Trapped Electronsmentioning

confidence: 99%

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Ahmad,

Farooq

et al. 2023

Phys. Scr.

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A theoretical investigation is carried out for nonlinear electrostatic Kelvin-Helmholtz (K-H) shock waves in a magnetized electron-positron-ion viscous plasma in the presence of transport equations and non-Maxwellian particles by following the generalized (r, q) distribution function. The propagation of electrostatic K-H modes are studied both in the presence of trapped and free electrons. The nonlinear analysis with inclusion of plasma transport properties (magnetic viscosity and heat conduction) lead to nonlinear electrostatic K-H mode in the form of shock like waves by solving the modified Burgers’ equation. The electrostatic K-H shocks are investigated numerically with effect of different plasma parameters such as shear velocity and non-Maxwellian distributed particles. It is observed that the striking features (viz., amplitude and width of dissipative shock through the solution of Burgers’ equation) of the K-H mode are significantly modified by the effects of non-thermality of electrons and positrons both at shoulder and tails along with shear velocity due to viscosity. The relevancy of our work to the observations in space (viz., cometary comae and earth’s ionosphere), astrophysical (viz., pulsars) and laboratory (viz., solid-high intense laser plasma interaction experiments) plasmas is highlighted.

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Section: Burgers' Equation In the Presence Of Trapped Electronsmentioning

confidence: 99%

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Ahmad,

Farooq

et al. 2023

Phys. Scr.

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“…The expression for the number density of the super-thermal electrons (following the κdistribution) can be expressed as [36]…”

Section: Governing Equationsmentioning

confidence: 99%

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Noman

Islam

Hassan

et al. 2021

Gases

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The standard nonlinear Schrödinger Equation (NLSE) is one of the elegant equations to find detailed information about the modulational instability criteria of dust-ion-acoustic (DIA) waves and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium with inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that the plasma system supports both fast and slow DIA modes under consideration of inertial warm ions along with inertial negatively charged dust grains. It is also found that the modulationally stable parametric regime decreases with κ. The numerical analysis has also shown that the amplitude of the first and second-order DIARWs decreases with ion temperature. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.

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“…In the case of super-thermal electron and positron, the super-thermal parameter κ > 3/2 and the number density equations are as follows [6,22,23]:…”

Section: Governing Equationsmentioning

confidence: 99%

Modulational Instability of Ion-Acoustic Waves and Associated Envelope Solitons in a Multi-Component Plasma

Banik

Heera

Yeashna

et al. 2021

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A generalized plasma model with inertial warm ions, inertialess iso-thermal electrons, super-thermal electrons and positrons is considered to theoretically investigate the modulational instability (MI) of ion-acoustic waves (IAWs). A standard nonlinear Schrödinger equation is derived by applying the reductive perturbation method. It is observed that the stable domain of the IAWs decreases with ion temperature but increases with electron temperature. It is also found that the stable domain increases by increasing (decreasing) the electron (ion) number density. The present results will be useful in understanding the conditions for MI of IAWs which are relevant to both space and laboratory plasmas.

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Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

Cited by 15 publications

References 42 publications

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Nonlinear electrostatic kelvin-helmholtz shock waves in a viscous electron-positron-ion plasma with non-maxwellian distribution

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Modulational Instability of Ion-Acoustic Waves and Associated Envelope Solitons in a Multi-Component Plasma

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