Abstract
Linear and fully nonlinear features of ion-acoustic waves (IAWs) have been investigated by normal mode analysis (which is valid for extremely small amplitude limit) and pseudopotential approach (which is valid for arbitrary amplitude waves). The plasma is assumed to be composed of nonthermally κ (kappa)-distributed two-temperature electrons (termed as hot and cold), Maxwellian positrons, inertial ions and immobile negatively charged heavy ions. The pseudo-energy balance equation is derived from the fluid dynamical system of equations, and the properties of arbitrary amplitude ion-acoustic wave (IAW) excitations are examined. The basic features (width, amplitude, polarity, critical Mach number, speed, etc.) of IAWs are found to be significantly modified by the effects of positrons, heavy ions as well as by the effects of κ-distributed two-temperature superthermal electrons. The analytical and numerical results presented in this manuscript could be useful for explaining and understanding the basic features of solitary structures in astrophysical environments, where two-temperature superthermal electrons and thermal positrons exist.
Similar content being viewed by others
References
Ali, S., Shukla, P.K.: Phys. Plasmas 13, 022313 (2006)
Antonova, E.E., Ermakova, N.O., Stepanova, M.V., Teltzov, M.V.: Adv. Space Res. 31, 1229 (2003)
Baluku, T.K., Hellberg, M.A.: Phys. Plasmas 19, 012106 (2012). doi:10.1063/1.3675866
Baluku, T.K., Hellberg, M.A., Kourakis, I., Saini, N.S.: Phys. Plasmas 17, 053702 (2010)
Barbosa, D.D., Kurth, W.S.: J. Geophys. Res. 98, 9351 (1993). doi:10.1029/93JA00477
Berezhiani, V.I., El-Ashry, M.Y., Mofiz, U.A.: Phys. Rev. E 50, 448 (1994)
Berthomier, M., Pottelette, R., Malingre, M.: J. Geophys. Res. 103, 4261–4270 (1998)
Bryant, D.A.: J. Plasma Phys. 56, 87 (1996)
Chateau, Y.F., Meyer-Vernet, N.: J. Geophys. Res. 96, 5825 (1991)
Chen, F.F.: Introduction to Plasma Physics and Controlled Fusion. Plenum Press, New York (1984)
Christon, S.P., Williams, D.J., Mitchell, D.G., Huang, C.Y., Frank, L.A.: J. Geophys. Res. 96, 1 (1991)
Codrescu, M.V., Fuller-Rowell, T.J., Robble, R.G., Evans, D.S.: J. Geophys. Res. 102, 19977 (1997)
Collier, M.R.: Geophys. Res. Lett. 20, 1531 (1993)
Decker, D.T., Basu, B., Jasperse, J.R., Strikland, D.J., Sharber, J.R., Winningham, J.D.: J. Geophys. Res. 100, 21409 (1995)
Devanandhan, S., Singh, S.V., Lakhina, G.S.: Phys. Scr. 84, 025507 (2011)
Devanandhan, S., Singh, S.V., Lakhina, G.S., Bharuthram, R.: Phys. Plasmas 19, 082314 (2012)
Dubinov, A.E., Kolotkov, Yu.D., Sazonkin, M.A.: Tech. Phys. 57, 585 (2012)
Dwyer, J.R., Grefenstette, B.W., Smith, D.M.: Geophys. Res. Lett. 35, L02815 (2008)
El-Tantawy, S.A., El-Bedwehy, N.A., Moslem, W.M.: Phys. Plasmas 18, 052113 (2011)
Esfandyari-Kalejahi, A., Afsari-Ghazi, M., Noori, N., Irani, S.: Phys. Plasmas 19, 082308 (2012)
Eviatar, A., Mcnutt, R.L., Siscoe, G.L., Sullivan, J.D.: J. Geophys. Res. 88, 823–831 (1983)
Feiter, L.D., De Jager, C.: Sol. Phys. 28, 183 (1973)
Feldman, W.C., Anderson, R.C., Asbridge, J.R., Bame, S.J., Gosling, J.T., Zwickl, R.D.: J. Geophys. Res. 87, 632 (1982)
Ghosh, S., Bharuthram, R.: Astrophys. Space Sci. 314, 121–127 (2008)
Goldrich, P., Julian, W.H.: Astrophys. J. 157, 869 (1969)
Hellberg, M.A., Mace, R.L., Baluku, T.K., Kourakis, I., Saini, N.S.: Phys. Plasmas 16, 094701 (2009)
Jehan, N., Masood, W., Mirza, A.M.: Phys. Scr. 80, 035506 (2009)
Kagan, L.M.: Plasma Phys. Control. Fusion 50, 074001 (2008)
Leubner, M.P.: J. Geophys. Res. 87, 6335 (1982)
Mace, R.L., Hellberg, M.A., Treumann, R.A.: J. Plasma Phys. 59, 393 (1998)
Mace, R.L., Amery, G., Hellberg, M.A.: Phys. Plasmas 6, 44 (1999)
Magni, S., Roman, H.E., Barni, R., Riccardi, C., Pierre, Th., Guyomarc’h, D.: Phys. Rev. E 72, 026403 (2005)
Maksimovic, M., Pierrard, V., Lemaire, J.F.: Astron. Astrophys. 324, 725 (1997)
Maksimovic, M., Gary, S.P., Skoug, R.M.: J. Geophys. Res. 105, 18337 (2000)
Malik, R., Malik, H.K., Kaushik, S.C.: Phys. Plasmas 19, 032107 (2012)
Michel, F.C.: Rev. Mod. Phys. 54, 1 (1982)
Mori, H., Ishii, M., Murayama, Y., Kubota, M., Sakanoi, K., Yamamoto, M.Y., Monzen, Y., Lummerzheim, D., Watkins, B.J.: Ann. Geophys. 22, 1613 (2004)
Nakamura, Y., Sharma, A.: Phys. Plasmas 8, 3921 (2001)
Nakamura, Y., Bailung, H., Shukla, P.K.: Phys. Rev. Lett. 83, 1602 (1999)
Passoni, V., Tikhonchuk, V.T., Lontano, M., Bychenkov, V.Yu.: Phys. Rev. E 69, 026411 (2004)
Pierrard, V., Lemaire, J.F.: J. Geophys. Res. 101, 7923 (1996)
Popel, S.I., Vladimirov, S.V., Shukla, P.K.: Phys. Plasmas 2, 716 (1995)
Rao, N., Shukla, P.K., Yu, M.Y.: Planet. Space Sci. 38, 543–546 (1990)
Richardson, J.D.: J. Geophys. Res. 91, 1381–1389 (1986)
Richardson, J.D., Eviatar, A., Siscoe, G.L.: J. Geophys. Res. 91, 8749–8755 (1986)
Rizzato, F.V.: J. Plasma Phys. 40, 289 (1988)
Roberts, W.T. Jr., Horwitz, J.L., Comfort, R.H., Chappell, C.R., Waite, J.H. Jr., Green, J.L.: J. Geophys. Res. 92, 13499–13512 (1987)
Roy, N., Tasnim, S., Mamun, A.A.: Phys. Plasmas 19, 033705 (2012a)
Roy, N., Zobaer, M.S., Mamun, A.A.: J. Mod. Phys. 3, 850–855 (2012b)
Sagdeev, R.Z.: Cooperative phenomena and shock waves in collisionless plasmas. In: Leontovich, M.A. (ed.) Reviews of Plasma Physics. vol. 4, pp. 23–91. Consultants Bureau, New York (1966). Rev. Mod. Phys. 4, 23
Saini, N.S., Kourakis, I., Hellberg, M.A.: Phys. Plasmas 16, 062903 (2009)
Schippers, P., Blanc, M., André, N., Dandouras, I., Lewis, G.R., Gilbert, L.K., Persoon, A.M., Krupp, N., Gurnett, D.A., Coates, A.J., Krimigis, S.M., Young, D.T., Dougherty, M.K.: J. Geophys. Res. 113, A07208 (2008). doi:10.1029/2008JA013098
Scudder, J.D., Sittler, E.C., Bridge, H.S.: J. Geophys. Res. 86, 8157 (1981)
Shahmansouri, M., Alinejad, H.: Phys. Plasmas 19, 123701 (2012). doi:10.1063/1.4769850
Sheridan, T.E., Goeckner, M.J., Goree, J.: J. Vac. Sci. Technol. A 9(3), 688 (1991)
Shukla, P.K., Mamun, A.A.: Introduction to Dusty Plasma Physics. IoP Publishing, Bristol (2002)
Singh, S.V., Lakhina, G.S.: Nonlinear Process. Geophys. 11, 275–279 (2004)
Singh, S.V., Lakhina, G.S., Bharuthram, R., Pillay, S.R.: Phys. Plasmas 18, 122306 (2011)
Singh, S.V., Devanandhan, S., Lakhina, G.S., Bharuthram, R.: Phys. Plasmas 20, 012306 (2013)
Sittler, E.C. Jr., Ogilvie, K.W., Scudder, J.D.: J. Geophys. Res. 88, 8847 (1983). doi:10.1029/JA088iA11p08847
Sultana, S., Kourakis, I.: Eur. Phys. J. D 66, 100 (2012)
Sultana, S., Kourakis, I., Saini, N.S., Hellberg, M.A.: Phys. Plasmas 17, 032310 (2010)
Thompson, C., Barkan, A., D’Angelo, N., Merlino, R.L.: Phys. Plasmas 4(7), 2331 (1997)
Vasyliunas, V.M.: J. Geophys. Res. 73, 2839 (1968)
Verheest, F.: Phys. Plasmas 17, 062302 (2010)
Verheest, F., Hellberg, M.A.: Phys. Plasmas 17, 023701 (2010)
Acknowledgements
S. Sultana would like to thank Dr. I. Kourakis for the fruitful discussions related to this work.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sultana, S., Mamun, A.A. Linear and nonlinear propagation of ion-acoustic waves in a multi-ion plasma with positrons and two-temperature superthermal electrons. Astrophys Space Sci 349, 229–238 (2014). https://doi.org/10.1007/s10509-013-1634-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1634-8