Electrostatic solitons in an electron–positron plasma with two distinct groups of positrons

Srinivas, J.; Popel, S. I.; Shukła, P. K.

doi:10.1017/s0022377800018791

Cited by 37 publications

(9 citation statements)

References 6 publications

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“…Thus, using (22)-(24), (27), (42), (45), (49), and (50), we can express the instability criterion as…”

Section: Instability Analysismentioning

confidence: 99%

“…The small-amplitude SWs are frequently observed in the auroral plasma, which occurs in between altitudes of 6000 and 8000 km [48]. Srinivas et al [49] investigated the linear and nonlinear properties of large amplitude acoustic-like disturbances in electron-positron plasmas with two distinct groups of positrons and cold electrons using Sagdeev's pseudopotential method. They employed a model in which the dynamics of the cold electron and cold positron fluids are governed by the continuity and momentum equations, whereas the energetic positrons follow the Boltzmann distribution.…”

Section: Introductionmentioning

confidence: 99%

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Instability Analysis of Obliquely Propagating Positron-Acoustic Solitary Waves in Superthermal Plasmas

Uddin

Alam

Masud

et al. 2015

IEEE Trans. Plasma Sci.

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The basic properties of the obliquely propagating positron-acoustic solitary waves (PASWs) and their multidimensional instability in magnetized electron-positron-ion plasmas consisting of immobile positive ions, mobile cold positrons, and superthermal (κ-distributed) hot positrons and electrons are investigated both numerically and analytically. By employing the reductive perturbation technique, the Zakharov-Kuznetsov equation is derived, which admits the solution of solitary waves. The fundamental features of PASWs are remarkably changed by the obliqueness, external magnetic field, superthermal parameter of electrons (κ e ), superthermal parameter of hot positrons (κ p ), ratio of the electron temperature to hot positron temperature (σ ), ratio of the electron number density to cold positron number density (μ e ), and ratio of the hot positron number density to cold positron number density (μ ph ). It is also found that the instability criterion and the growth rate are significantly modified by the external magnetic field and the propagation directions of both the nonlinear waves and their perturbation modes. This paper can be useful to understand the nonlinear electromagnetic perturbations in space and laboratory plasmas. Index Terms-Electron-positron-ion (e-p-i) plasmas, growth rate, instability, kappa distribution, positron-acoustic (PA) waves, solitary waves (SWs), superthermal electrons, superthermal positrons, Zakharov-Kuznetsov (ZK) equation.

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“…Thus, using (22)-(24), (27), (42), (45), (49), and (50), we can express the instability criterion as…”

Section: Instability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Instability Analysis of Obliquely Propagating Positron-Acoustic Solitary Waves in Superthermal Plasmas

Uddin

Alam

Masud

et al. 2015

IEEE Trans. Plasma Sci.

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“…Of the latter, there are many examples to be found in the literature, and we only mention in the reference list some immediately relevant papers, namely those homogeneous models that admit coexistence ranges in compositional parameter space for electrostatic solitary modes described by Sagdeev pseudopotential theory. [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] Extraneous effects such as beams, inhomogeneities, and variable dust charges have been excluded, as these tend to blur the basic understanding. The quest for plasma models supporting solitons having a polarity opposite to the traditionally expected has been motivated by several space observations.…”

Section: Introductionmentioning

confidence: 99%

Large acoustic solitons and double layers in plasmas with two positive ion species

et al. 2011

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Large nonlinear acoustic waves are discussed in a plasma made up of cold supersonic and adiabatic subsonic positive ions, in the presence of hot isothermal electrons, with the help of Sagdeev pseudopotential theory. In this model, no solitons are found at the acoustic speed, and no compositional parameter ranges exist where solutions of opposite polarities can coexist. All nonlinear modes are thus super-acoustic, but polarity changes are possible. The upper limits on admissible structure velocities come from different physical arguments, in a strict order when the fractional cool ion density is increased: infinite cold ion compression, warm ion sonic point, positive double layers, negative double layers, and finally, positive double layers again. However, not all ranges exist for all mass and temperature ratios. Whereas the cold and warm ion sonic point limitations are always present over a wide range of mass and temperature ratios, and thus positive polarity solutions can easily be obtained, double layers have a more restricted existence range, specially if polarity changes are sought. V

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“…Such fully non-linear structures have been studied in e-p-i and dusty plasmas. [43][44][45][46][47] Therefore, in this section, we study the arbitrary amplitude solitary waves and assume that all the dependent variables depend on a single variable = x − Mt. Here, M is the Mach number, which is defined as the moving speed of the non-linear structure normalized by acoustic speed.…”

Section: Arbitrary Amplitude Solitary Wavesmentioning

confidence: 99%

Ion‐acoustic solitary waves in e‐p‐i plasmas with (r, q)‐distributed electrons and kappa‐distributed positrons

Kouser

Qureshi

Shah

et al. 2020

Contributions to Plasma Physics

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In this paper, we have studied the propagation of non-linear ion-acoustic waves in a plasma comprising of (r, q)-distributed electrons and kappa-distributed positrons. We have investigated the effect of complete electron distribution profile on the propagation of small, as well as arbitrary, amplitude solitons (via pseudopotential technique) by using generalized (r, q) distribution, which exhibits a spiky and flat top nature at low energies and a super-thermal tail at high energies. Interestingly, for negative values of r, solitons are formed with both polarities, positive (compressive) and negative (rarefactive), separately within a small amplitude limit and exist simultaneously in an arbitrary amplitude limit. We also found that the propagation of solitons has been affected by the change in parameters r, q, positron concentration, and electron to positron temperature ratio. The results presented in this study add to the fundamental understanding of the complete profile of the electron distribution function, highand low-energy parts, and in the formation of compressive and rarefactive small and finite amplitude solitons in both space and astrophysical plasmas.

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Electrostatic solitons in an electron–positron plasma with two distinct groups of positrons

Cited by 37 publications

References 6 publications

Instability Analysis of Obliquely Propagating Positron-Acoustic Solitary Waves in Superthermal Plasmas

Instability Analysis of Obliquely Propagating Positron-Acoustic Solitary Waves in Superthermal Plasmas

Large acoustic solitons and double layers in plasmas with two positive ion species

Ion‐acoustic solitary waves in e‐p‐i plasmas with (r, q)‐distributed electrons and kappa‐distributed positrons

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