Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-26T22:05:39.424Z Has data issue: false hasContentIssue false
  • English
  • Français

Study of small amplitude ion-acoustic solitary wave structures and amplitude modulation in e–p–i plasma with streaming ions

Published online by Cambridge University Press:  05 April 2018

Jyotirmoy Goswami ,
Swarniv Chandra  and
B. Ghosh
Jyotirmoy Goswami
Affiliation:
Department of Physics, Jadavpur University, Jadavpur, Kolkata-32, India
Swarniv Chandra*
Affiliation:
Department of Physics, Jadavpur University, Jadavpur, Kolkata-32, India Department of Physics, JIS University, Agarpara, Koltata-109, India
B. Ghosh
Affiliation:
Department of Physics, Jadavpur University, Jadavpur, Kolkata-32, India
*
Author for correspondence: Swarniv Chandra, Department of Physics, Jadavpur University, Jadavpur, Kolkata-32, India. E-mail: swarniv147@gmail.com
Get access Rights & Permissions [Opens in a new window]

Abstract

By using reductive perturbation technique we have studied the linear and non-linear properties of ion-acoustic solitary structures in a three-component plasma containing non-thermal electrons and Boltzmann positrons and a comparatively cold ion which has got a streaming motion. The Korteweg–de Vries equation has been obtained and the dependence of small amplitude solitary structures on various plasma parameters such as streaming velocity (v0), non-thermal parameter (β), reciprocal of electron temperature (χ), positron density (p), Mach number (M), and ion density (δ) have been studied. The possibility of formation of enveloping soliton and its characteristic features are further investigated by deriving the non-linear Schrödinger equation.

Keywords

Boltzmann positronKdVnon-linear Schrödinger equationnon-thermal electronsstreaming ion
Type
Research Article
Information
Laser and Particle Beams , Volume 36 , Issue 1 , March 2018 , pp. 136 - 143
Copyright
Copyright © Cambridge University Press 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bala, P and Kaur, S (2013) Dispersion relation in a plasma consisting of oppositely charged ions with non-Maxwellian electrons, AIP conference proceedings, 1536, 307.CrossRefGoogle Scholar
Baluku, TK and Hellberg, MA (2011) Ion acoustic solitary waves in an electron–positron–ion plasma with non-thermal electrons. Plasma Physics and Controlled Fusion 53, 095007.CrossRefGoogle Scholar
Baumjohann, W and Treumann, RA (1997) Basic Space Plasma Physics. London: Imperial College Press.Google Scholar
Berezhiani, VI, El-Ashry, MY and Mofiz, UA (1994) Theory of strong electromagnetic wave propagation in an electron-positron-ion plasma. Physical Review E 50, 448–452.CrossRefGoogle Scholar
Cairns, RA, Mammun, AA, Bingham, R, Bostrom, R, Dendy, RO, Nairn, CMC and Shukla, PK (1995) Electrostatic solitary structures in non-thermal plasmas. Geophysical Research Letters 22, 2709–2712.CrossRefGoogle Scholar
Esfandyari-Kalejahi, A, Kourakis, I, Mehndipoor, M and Shukla, PK (2006) Electrostatic mode envelope excitations in e–p–i plasmas application in warm pair ion plasmas with a small fraction of stationary ions. Journal of Physics A: Mathematical and General 39, 13817–13830.CrossRefGoogle Scholar
Gahn, C, Tsakiris, GD, Pretzler, G, Witte, KJ, Delfin, C, Wahlstrom, CG and Habs, D (2000) Generating positrons with femtosecond-laser pulses. Applied Physics Letters 77, 2662–2664.CrossRefGoogle Scholar
Ghosh, S and Bharuthram, R (2008) Ion acoustic solitons and double layers in electron positron ion plasmas with dust particulates. Astrophysics and Space Science 314, 121127.CrossRefGoogle Scholar
Gibbons, GW, Hawking, SW and Siklos, S (1983) The Very Early Universe. Cambridge: Cambridge University Press.Google Scholar
Gill, TS, Kaur, H and Saini, NS (2003) Ion-acoustic solitons in a plasma consisting of positive and negative ions with nonisothermal electrons. Physics of Plasmas 10, 3927–3932.CrossRefGoogle Scholar
Gill, TS, Bala, P, Kaur, H, Saini, NS, Bansal, S and Kaur, J (2004) Ion-acoustic solitons and double-layers in a plasma consisting of positive and negative ions with non-thermal electrons. European Journal of Physics D 31, 91–100.CrossRefGoogle Scholar
Gill, TS, Singh, A, Kaur, H, Saini, NS and Bala, P (2007) Ion- acoustic solitons in weakly relativistic plasma containing electronpositron and ion. Physics Letters A 361, 364–367.CrossRefGoogle Scholar
Helander, P and Ward, DJ (2003) Positron creation and annihilation in tokamak plasmas with runaway electrons. Physical Review Letters 90, 135004–4.CrossRefGoogle ScholarPubMed
Jehan, N, Salahuddin, M and Mirza, AM (2009) Oblique modulation of ion-acoustic waves and envelope solitons in electron–positron–ion plasma. Physics of Plasmas 16, 062305–7.CrossRefGoogle Scholar
Kourakis, I and Shukla, PK (2005) Modulated dust-acoustic wave packets in a plasma with non-isothermal electrons and ions. Journal of Plasma Physics 71, 185–201.CrossRefGoogle Scholar
Kourakis, I, Esfandyari-Kalejahi, A, Mehdipoor, M and Shukla, PK (2006) Modulated electrostatic modes in pair plasmas: Modulational stability profile and envelope excitations. Physics of Plasmas 13, 052117–9.CrossRefGoogle Scholar
Lee, NC and Choi, CR, (2007) Ion-acoustic solitary waves in a relativistic plasma. Physics of Plasmas 14, 022307.CrossRefGoogle Scholar
Liang, EP, Wilks, SC and Tabak, M (1998) Pair production by ultra-intense lasers. Physical Review Letters 81, 4887–4890.CrossRefGoogle Scholar
Ma, CY and Summers, D (1998) Formation of power-law energy spectra in space plasmas by stochastic acceleration due to whistler-mode waves. Geophysical Research Letters 25(21), 4099.CrossRefGoogle Scholar
Mahmood, S and Akhtar, N (2008) Ion acoustic solitary waves with adiabatic ions in magnetized electron-positron-ion plasmas. The European Physical Journal D 49, 217–221.CrossRefGoogle Scholar
Marsch, E, Mühlhäuser, K-H, Schwenn, R, Rosenbauer, H, Pilipp, W and Neubauer, FM (1982) Solar wind protons: Three-dimensional velocity distributions and derived plasma parameters measured between 0.3 and 1 AU Journal of Geophysical Research 87(Al), 52.CrossRefGoogle Scholar
Michel, FC (1982) Theory of pulsar magnetospheres. Review of Modern Physics, 54, 1–66.CrossRefGoogle Scholar
Michel, FC (1991) Theory of Neutron Star Magnetospheres. University of Chicago Press, Chicago.Google Scholar
Miller, HR and Witta, PJ (1987) Active Galactic Nuclei. Berlin: Springer-Verlag.Google Scholar
Mushtaq, A and Shah, HA (2005) Effects of positron concentration, ion temperature, and plasma value on linear and nonlinear two-dimensional magnetosonic waves in electron-positron-ion plasmas. Physics of Plasmas 12, 012301–012311.CrossRefGoogle Scholar
Nakamura, Y and Sarma, A (2001) Observation of ion-acoustic solitary waves in a dusty plasma. Physics of Plasmas 8, 3921–3926.CrossRefGoogle Scholar
Nakamura, Y, Bailung, H and Shukla, PK (1999) Observation of ion- acoustic shocks in dusty plasma. Physical Review Letters 83, 1602–1605.CrossRefGoogle Scholar
Nejoh, Y (1996a) The effect of the ion temperature on large amplitude ion-acoustic waves in electron-positron-ion plasma. Physics of Plasmas 3, 1447–1451.CrossRefGoogle Scholar
Nejoh, Y (1996b) Effects of positron density and temperature on large amplitude ion-acoustic waves in electron-positron-ion plasma. Australian Journal of Physics 50, 309–317.CrossRefGoogle Scholar
Pakzad, HR (2009) Ion acoustic solitary waves in plasma with nonthermal electron and positron. Physics Letters A 373, 847–850.CrossRefGoogle Scholar
Pillay, R and Bharuthram, R (1992) Large amplitude solitons in multi-species electron-positron plasma. Astrophysics and Space Science 198, 85–93.CrossRefGoogle Scholar
Popel, SI, Vladimirov, SV and Shukla, PK (1995) Ion-acoustic solitons in electron–positron–ion plasmas. Physics of Plasmas 2, 716–719.CrossRefGoogle Scholar
Saberian, E, Esfandyari-Kalejahi, A and Akbari-Moghanjoughi, M (2011) Propagation of ion-acoustic solitary waves in a relativistic electron-positron-ion plasma. Canadian Journal of Physics 89(3), 299–309.CrossRefGoogle Scholar
Salahuddin, M, Saleem, H and Saddiq, M (2002) Ion-acoustic envelope solitons in electron-positron-ion plasmas. Physical Review E 66, 036407–4.CrossRefGoogle ScholarPubMed
Singh, SV and Lakhina, GS (2004) Electron acoustic solitary waves with non-thermal distribution of electrons. Nonlinear Processes in Geophysics 11, 275–279.CrossRefGoogle Scholar
Summers, D and Thorne, RM (1991) The modified plasma dispersion function. Phys. Fluids B 3, 1835.CrossRefGoogle Scholar
Summers, D and Thorne, RM (1992) A new tool for analyzing microinstabilities in space plasmas modeled by a generalized Lorentzian (kappa) distribution, Journal of Geophysical Research 97(A11), 16827.CrossRefGoogle Scholar
Summers, D, Xue, S and Thorne, RM (1994) Calculation of the dielectric tensor for a generalized Lorentzian (kappa) distribution function. Physics of Plasmas 1, 2012.CrossRefGoogle Scholar
Tang, RA and Xue, JK (2004) Nonthermal electrons and warm ions effects on oblique modulation of ion-acoustic waves. Physics of Plasmas 11, 3939–3944.CrossRefGoogle Scholar
Verheest, F and Pillay, SR (2008) Dust-acoustic solitary structures in plasmas with nonthermal electrons and positive dust. Nonlinear Processes in Geo- Physics 15, 551–555.CrossRefGoogle Scholar
Watanabe, S (1977) Self-modulation of a nonlinear ion wave packet. Journal of Plasma Physics 17, 487–501.CrossRefGoogle Scholar
Zabusky, NJ and Kruskal, MD (1965) Interaction of solitons in a collision- less plasma and the recurrence of initial states. Physical Review Letters 15, 240–243.CrossRefGoogle Scholar