Propagation of Shock Waves in a Dusty Plasma with Kappa Distributed Electrons and Ions

Volume 4, Issue 2, April 2019     |     PP. 36-50      |     PDF (369 K)    |     Pub. Date: April 9, 2019
DOI:    316 Downloads     7847 Views  

Author(s)

Louis Ete Akpabio, Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria.
Sekanam Louis Akpabio, Department of Mechanical Engineering, University of Uyo, Uyo, Nigeria.

Abstract
The Burgers’ equation was derived for studying the behaviour of Dust Acoustic (DA) shock wave for a four-component dusty plasma comprising charged dust grains of opposite polarity, super thermally (Kappa) distributed electrons and ions. The numerical solution of Burgers’ equation is analyzed. It is established that opposite polarity shock wave potentials exist in such dusty plasma. The properties of the dust acoustic shock wave are studied taking into account the spectral index (K) effect. We have been able to establish the fact that, the polarity of the shock waves amplitude varies from positive to negative at a particular K value.

Keywords
Dusty Plasma; Kappa Distribution; Shock Waves; DA Wave.

Cite this paper
Louis Ete Akpabio, Sekanam Louis Akpabio, Propagation of Shock Waves in a Dusty Plasma with Kappa Distributed Electrons and Ions , SCIREA Journal of Physics. Volume 4, Issue 2, April 2019 | PP. 36-50.

References

[ 1 ] Goertz , C. K. Rev. Geophys. 1989, 27, 271- 282.
[ 2 ] Mendis D. A. ; Rosenberg, M. C. Annu. Rev. Astron. Astrophys. 1994. 32, 419-427.
[ 3 ] Shukla, P. K. Phys.Plasmas, 2001. 8, 1791-1803.
[ 4 ] Horanyi, M. ; Mendis, D. A. J. Geophys. Rev.1986. 91, 355.
[ 5 ] F.Verheest, Waves in Dusty Space Plasmas; Kluwer Academic, Dordrecht, Netherlands. 2001.
[ 6 ] Horanyi, M. Annu. Rev. Astron. Astrophys. 1996. 34, 383.
[ 7 ] Barkan, A.;D’Angelo N.;Merlino, R. L. Planet Space Sci. 1996.44, 239.
[ 8 ] Merlino, R. L.;Barkan, A.;Thompson, C.;D’Angela, N. Phys. Plasmas 1998. 5, 1067.
[ 9 ] Homann, A.;Melzer, A.;Peters, S.;Piel, A. Phys. Rev. E. 1997.56, 713.
[ 10 ] Verheest, F. Planet Space Sci. 1992.40,1.
[ 11 ] Pieper, J. B.;Goree, J. Phys. Rev. Lett. 1996. 77, 3137.
[ 12 ] Bliokh, P. V.;Yaroshenko, V. V. Sov. Astron. (Eng. Transl.) 1985. 29, 330.
[ 13 ] De Angelis, U.;Formisano, V.;Giordano, M. J. Plasma Phys. 1988. 40, 399-406.
[ 14 ] Asbridge, J. R.; Bame,S. J.; Strong, I. B. J. Geophys. Rev. 1993.73, 5777.
[ 15 ] Shukla, P. K.; Stenflo, L. Astrophys. Space Sci. 1992. 190(1), 23.
[ 16 ] Rao,N. N.;Shukla, P. K.;Yu, M. Y. Planet. Space Sci. 1990.38, 543.
[ 17 ] Shukla, P. K.;Silin, V. P. Physica Scripta. 1992. 45, 508-.513.
[ 18 ] Amin, M. R.;Morfil, G. E.;Shukla, P. K. Phys. Rev. E. 1998. 58, 6517.
[ 19 ] Popel, S. I.;Yu, M.Y. Contrib. Plasma Phys. 1995.35(2), 103.
[ 20 ] Ma, J. X,;Lui, J. Phys. Plasmas. 1997. 4, 253.
[ 21 ] Bharuthram, R.;Shukla, P. K. Planet. Space Sci. 1992.40, 973-977.
[ 22 ] Mamun, A. A.; Cairns, R. A.;Shukla, P. K. Phys. Plasmas 1996. 3,702-704.
[ 23 ] Mendis, D. A.;Horanyi, M. Geophys. Monogr. Ser. 1991. 61, 17.
[ 24 ] Chow, V. W.;Mendis, D. A.;Rosenberg, M. J. Geophys. Res. 1993. 98, 19065.
[ 25 ] Havnes, O.;Troim, J.;Blix, T.;Mortensen, W.;Naeshein, L. I.;Thrane, E.;Tonnesen, T. J. Geophys. Res. 1996 10, 10,839.
[ 26 ] Horanyi, M.;Morfill, G.;Gruin, E. Nature. 1993. 363, 144-146.
[ 27 ] Shukla, P. K.;Mamun, A. A. Introduction to Dusty Plasma Physics; IOP Publishing Ltd. Bristol, U. K., 2002.
[ 28 ] Mandal G.;Chatterjee, P. Z. Naturforsch. 2010.65a, 85.
[ 29 ] Armina, R.;Mamun, A. A.;Alam, S. M. K. Astrophys. Space Sci. 2008. 315(1), 243.
[ 30 ] Akpabio, L. E.;Ikot, A. N.;Udoumuk, A. B. Elixir Space Sci. 2012. 50, 10175-10178.
[ 31 ] Akpabio, L. E.; Ikot, A. N. Research J. Phys. 2012. 1-9 DOI: 10. 3923/rjp
[ 32 ] Paul, K. S.;Mandal, G.;Mamun, A. A.;Amin, M. R. IEEE Trans. Plasma Sci. 2009. 37, 627-631.
[ 33 ] Sahu, B. Bulg. J. Phys. 2011. 38, 175-183.
[ 34 ] Vasyliunas, V. M. J. Geophys. Res. 1968. 73, 12839.
[ 35 ] Formisano, V.;Moreno, G.;Palmiotto, F. J. Geophys. Rev. 1973. 78, 3714-3730.
[ 36 ] Mendis D. A.;Rosenberg, M. Annu. Rev. Astron. Astro. Phys. 1994. 32, 419-463.
[ 37 ] Scudder, J. D.;Sittler, E. C.;Bridge, H. S. J. Geophys. Res. 1981. 86, 8157-8179.
[ 38 ] Marsch, E.;Muhlhauser, K. H.;Schwenn, R.;Rosenbauer, H.;Phillip, W.;Neubauer, F. M. J. Geophys. Res. 1982. 87, 52-72.
[ 39 ] Leubner, M. P. Phys. Plasmas, 2004. 11, 1308-1316.
[ 40 ] Lazar, M.;Schlickelser, R.;Poedts, S.;Tantz, R. C. Mon. Not. R. Astron. Soc. 2008. 168, 390.
[ 41 ] Lui, A. T. Y.;Krimigis, S. M. Geophys. Res. Lett. 1981. 8, 527-530.
[ 42 ] Baluku, T. K.;Hellberg, M. A. Phys. Plasmas. 2008. 15, 1237.
[ 43 ] Eslami, P.;Mottaghizadeh, M.;Pakzad, H. R. Astrophys. Space Sci. 2011. 333, 263-268.
[ 44 ] Kundu, S. K.;Ghosh, D. K.;Chatterjee, P.;Das, B. Bulg. J. Phys. 2011. 38, 409.
[ 45 ] Washinai, H.;Tanuiti, T. Phys. Rev. Lett. 1966. 17, 996.
[ 46 ] Mendis, D. A.;Rosenberg, M. Annu. Rev. Astron. Astrophys. 1994. 32, 418-463.
[ 47 ] El-Awady, E. I.;E1 – Tantawy, S. A.;Moslem, W. M.;Shukla, P. K. Phys. Lett. A. 2010. 374 (31), 3216-3219.
[ 48 ] Chuang, S. H.; Hau, L. N. Phys. Plasmas. 2009. 16, 022901.