Arbitrary amplitude ion acoustic double layer in plasma with k-distributed electrons and negative ions

Abstract Using Sagdeev pseudo-potential technique, we have studied the arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless plasma consisting of adiabatic warm ions, non-thermal hot electrons and isothermal cold electrons immersed in an external uniform static magnetic field. We have used the phase portraits of the dynamical system describing the non-linear behaviour of ion acoustic waves to confirm the existence of different solitary structures. We have found that the system supports (a) positive potential solitons, (b) negative potential solitons, (c) coexistence of both positive and negative potential solitons, (d) negative potential double layers, (e) negative potential supersolitons and (f) positive potential supersolitons. Again, we have seen that the amplitude of the positive potential solitons decreases or increases with increasing n ch according to whether 0 < n c h < n c h ( c ) $0{< }{n}_{ch}{< }{n}_{ch}^{\left(c\right)}$ or n c h ( c ) < n c h ≤ 1 ${n}_{ch}^{\left(c\right)}{< }{n}_{ch}\le 1$ , where n c h ${n}_{ch}$ is the ratio of isothermal cold and non-thermal hot electron number densities, and n c h ( c ) ${n}_{ch}^{\left(c\right)}$ is a critical value of n ch . Also, we have seen that the amplitude of the positive potential solitons decreases with increasing β e , where β e is the non-thermal parameter. We have also investigated the transition of different negative potential solitary structures: negative potential soliton (before the formation of negative potential double layer) → negative potential double layer → negative potential supersoliton → negative potential soliton (after the formation of negative potential double layer) by considering the variation of θ only, where θ is angle between the direction of the external uniform static magnetic field and the direction of propagation of the ion acoustic wave.

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Multistability and chaotic scenario in a quantum pair-ion plasma

Zeitschrift für Naturforschung A ◽

10.1515/zna-2020-0224 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Barsha Pradhan ◽

Sayan Mukherjee ◽

Asit Saha ◽

Hayder Natiq ◽

Santo Banerjee

Keyword(s):

Lyapunov Exponents ◽

Acoustic Waves ◽

Negative Ions ◽

Travelling Wave ◽

Basins Of Attraction ◽

Quantum Plasma ◽

Ion Acoustic Waves ◽

Ion Acoustic ◽

Arbitrary Amplitude ◽

Basic Equations

AbstractMultistability and chaotic scenario of arbitrary amplitude ion-acoustic waves in a quantum plasma consisting of negative ions, positive ions and electrons are investigated. The normalized basic equations are transformed to a four dimensional conservative dynamical system by introducing a travelling wave variable. Stability of the fixed points for the corresponding linearized system is briefly examined. Chaotic and quasi-periodic features of the arbitrary amplitude ion-acoustic waves are discussed using effective tools, viz. phase orientations, time series graph and graphs of Lyapunov exponents. Multistability phenomena is established with the help of phase spaces, largest Lyapunov exponents and cross-section of basins of attraction. The chaotic phenomena is further verified by 0−1 test. Results of this study can be applied in understanding dynamical phenomena of arbitrary amplitude ion-acoustic waves in quantum pair-ion plasmas.

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Nonlinear wave propagation of large amplitude ion-acoustic solitary waves in negative ion plasmas with superthermal electrons

Journal of Plasma Physics ◽

10.1017/s0022377813000160 ◽

2013 ◽

Vol 79 (5) ◽

pp. 613-621 ◽

Cited By ~ 8

Author(s):

S. K. EL-LABANY ◽

R. SABRY ◽

E. F. EL-SHAMY ◽

D. M. KHEDR

Keyword(s):

Solitary Waves ◽

Large Amplitude ◽

Negative Ions ◽

High Energy ◽

Negative Ion ◽

Energetic Electrons ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

Negative Ion Plasmas ◽

Arbitrary Amplitude

AbstractInvestigation of arbitrary amplitude nonlinear ion-acoustic solitary waves which accompany collisionless positive–negative ion plasmas with high-energy electrons (represented by kappa distribution) is presented. Arbitrary amplitude solitary waves are investigated by deriving an energy-integral equation involving a Sagdeev-like pseudopotential. The existence regions of solitary pulses are, defined precisely, modified by the superthermality of energetic electrons. Furthermore, numerical calculations reveal that both compressive and rarefactive pulses may exist for negative ion mass groups in Titan's atmosphere. The superthermality of energetic electrons are found to modify the existence domains of large amplitude ion-acoustic waves in Titan's atmosphere. The dependence of solitary excitation characteristics on the superthermal parameter, the negative ion concentration, the positive-to-negative ions mass ratio, and the Mach number have been investigated. The present study might be helpful to understand the excitation of fully nonlinear ion-acoustic solitary pulses that may appear in the interplanetary medium and/or in the astrophysical plasmas in general.

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Solitary waves in a dusty adiabatic electronegative plasma

Journal of Plasma Physics ◽

10.1017/s0022377809990614 ◽

2010 ◽

Vol 76 (3-4) ◽

pp. 409-418 ◽

Cited By ~ 7

Author(s):

A. A. MAMUN ◽

K. S. ASHRAFI ◽

M. G. M. ANOWAR

Keyword(s):

Solitary Waves ◽

Vries Equation ◽

Negative Ions ◽

Finite Amplitude ◽

Reductive Perturbation Method ◽

Charged Dust ◽

Electronegative Plasma ◽

Ion Acoustic ◽

Basic Features ◽

Electronegative Plasmas

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.

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Arbitrary Amplitude Ion Acoustic Solitary Waves in An Unmagnetized Two Electron Population Ultra-Relativistic Dense Plasmas

Earth Moon and Planets ◽

10.1007/s11038-013-9417-3 ◽

2013 ◽

Vol 110 (3-4) ◽

pp. 165-174 ◽

Cited By ~ 1

Author(s):

Biswajit Sahu ◽

Prasenjit Singha

Keyword(s):

Solitary Waves ◽

Electron Population ◽

Dense Plasmas ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

Arbitrary Amplitude

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Observation of second order ion acoustic Peregrine breather in multicomponent plasma with negative ions

Physics of Plasmas ◽

10.1063/1.4941968 ◽

2016 ◽

Vol 23 (2) ◽

pp. 022107 ◽

Cited By ~ 25

Author(s):

Pallabi Pathak ◽

S. K. Sharma ◽

Y. Nakamura ◽

H. Bailung

Keyword(s):

Negative Ions ◽

Second Order ◽

Multicomponent Plasma ◽

Ion Acoustic ◽

Peregrine Breather

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Ion-acoustic solitary structures at the acoustic speed in a collisionless magnetized nonthermal dusty plasma

Zeitschrift für Naturforschung A ◽

10.1515/zna-2021-0120 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Debdatta Debnath ◽

Anup Bandyopadhyay

Keyword(s):

Double Layer ◽

Negative Polarity ◽

Critical Value ◽

Magnetized Plasma ◽

Double Layers ◽

Nonthermal Electrons ◽

Solitary Structures ◽

Ion Acoustic ◽

Density Of Electrons ◽

Acoustic Speed

Abstract At the acoustic speed, we have investigated the existence of ion-acoustic solitary structures including double layers and supersolitons in a collisionless magnetized plasma consisting of negatively charged static dust grains, adiabatic warm ions, and nonthermal electrons. At the acoustic speed, for negative polarity, the system supports solitons, double layers, supersoliton structures after the formation of double layer, supersoliton structures without the formation of double layer, solitons after the formation of double layer whereas the system supports solitons and supersolitons without the formation of double layer for the case of positive polarity. But it is not possible to get the coexistence of solitary structures (including double layers and supersolitons) of opposite polarities. For negative polarity, we have observed an important transformation viz., soliton before the formation of double layer → double layer → supersoliton → soliton after the formation of double layer whereas for both positive and negative polarities, we have observed the transformation from solitons to supersolitons without the formation of double layer. There does not exist any negative (positive) potential solitary structures within 0 < μ < μ c (μ c < μ < 1) and the amplitude of the positive (negative) potential solitary structure decreases for increasing (decreasing) μ and the solitary structures of both polarities collapse at μ = μ c, where μ c is a critical value of μ, the ratio of the unperturbed number density of electrons to that of ions. Similarly there exists a critical value β e2 of the nonthermal parameter β e such that the solitons of both polarities collapse at β e = β e2.

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Dust ion acoustic double layer in the presence of superthermal electrons

Indian Journal of Physics ◽

10.1007/s12648-018-1279-0 ◽

2018 ◽

Vol 93 (2) ◽

pp. 257-265 ◽

Cited By ~ 3

Author(s):

Dharitree Dutta ◽

K. S. Goswami

Keyword(s):

Double Layer ◽

Superthermal Electrons ◽

Ion Acoustic

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Some aspects of ion-acoustic whistlers in the ionosphere in the presence of negative ions

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171289000931 ◽

1989 ◽

Vol 12 (4) ◽

pp. 749-772 ◽

Cited By ~ 3

Author(s):

A. K. Sur ◽

G. C. Das ◽

B. Chakraborty ◽

S. N. Paul ◽

L. Debnath

Keyword(s):

Travel Time ◽

Critical Frequency ◽

Cyclotron Frequency ◽

Negative Ions ◽

Induced Magnetic Field ◽

Ion Acoustic ◽

Phase And Group Velocities ◽

Group Velocities ◽

Group Travel

A study is made of the propagation of ion-acoustic whistlers in the atmosphere including the effects of negative ions. The dispersion relation, phase and group velocities of whistlers are discussed. It is shown that the presence of negative ions introduces a critical frequency which, for equal ionic masses, is equal to the ion-cyclotron frequency. Special attention is given to the group travel time of whistlers at mid-latitude and equator so that the role of negative ions on the group travel time can be determined. The cyclotron damping of whistlers in the presence of negative ions has been studied. The velocity distribution, total attenuation and the induced magnetic field are calculated from the temporal as well as spatial cyclotron damping. It is suggested that the attenuation of whistlers may cause heating of the ionosphere. It is also indicated that the measurement of the group travel time from its source to the observer at the satellite would help to diagnose the ionospheric parameters. The results of the analysis are presented by several graphical presentations.

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