[Table of Contents]

Plasma and Fusion Research

Volume 5, 045 (2010)

Regular Articles


Relativistic Degeneracy Effect on Propagation of Arbitrary Amplitude Ion-Acoustic Solitons in Thomas-Fermi Plasmas
Abdolrasoul ESFANDYARI-KALEJAHI, Massoud AKBARI-MOGHANJOUGHI and Ehsan SABERIAN
Department of Physics, Faculty of Sciences, Azarbaijan University of Tarbiat Moallem, 51745-406, Tabriz, Iran
(Received 1 September 2010 / Accepted 16 October 2010 / Published 25 November 2010)

Abstract

Arbitrary amplitude ion-acoustic solitary waves (IASWs) are studied using Sagdeev-Potential approach in electron-positron-ion plasma with ultra-relativistic or non-relativistic degenerate electrons and positrons and the matching criteria of existence of such solitary waves are numerically investigated. It has been shown that the relativistic degeneracy of electrons and positrons has significant effects on the amplitude and the Mach-number range of IASWs. Also it is remarked that only compressive IASWs can propagate in both non-relativistic and ultra-relativistic degenerate plasmas.


Keywords

Sagdeev-potential, ion-acoustic soliton, degenerate plasma, relativistic plasma, Fermi statistics

DOI: 10.1585/pfr.5.045


References

  • [1] A.A. Vedenov, E.P. Velikhov and R.Z. Sagdeev, Nucl. Fusion 1, 82 (1961) [in Russian].
  • [2] M. Salahuddin, H. Saleem and M. Saddiq, Phys. Rev. E 66, 036407 (2005).
  • [3] A. Esfandyari-Kalejahi, I. Kourakis, M. Mehdipoor and P.K. Shukla, J. Phys. A: Math. Gen. 39, 13817 (2006).
  • [4] A. Esfandyari-Kalejahi, M. Mehdipoor and M. Akbari-Moghanjoughi, Phys. Plasmas 16, 052309 (2009).
  • [5] A. Esfandyari-Kalejahi, M. Akbari-Moghanjoughi and B. Haddadpour-Khiaban, Phys. Plasmas 16, 102302 (2009).
  • [6] R.S. Tiwari, Phys. Lett. A 372, 3461 (2008).
  • [7] R.S. Tiwari, A. Kaushik and M.K. Mishra, Phys. Lett. A 365, 335 (2007).
  • [8] A. Mushtaq and H.A. Shah, Phys. Plasmas 12, 072306 (2005).
  • [9] S.I. Popel, S.V. Vladimirov and P.K. Shukla, Phys. Plasmas 2, 716 (1995).
  • [10] Y.N. Nejoh, Aust. J. Phys. 50, 309 (1997).
  • [11] S. Mahmood, A. Mushtaq and H. Saleem, New J. Phys. 5, 4680 (2003).
  • [12] M.A. Mahmood, S. Mahmood, A.M. Reza and H. Saleem, Chin. Phys. Lett. 22, 632 (2005).
  • [13] S. Mahmood and N. Akhtar, Eur. J. Phys. D 49, 217 (2008).
  • [14] M. Akbari-Moghanjoughi, Phys. Plasmas 17, 072101 (2010).
  • [15] P.K. Shukla, L. Stenflo and R. Fedele, Phys. Plasmas 10, 310 (2003).
  • [16] V.I. Berezhiani, L.N. Tsintsadze and P.K. Shukla, J. Plasma Phys. 48, 139 (1992); Physica Scripta 46, 55 (1992).
  • [17] V.I. Berezhiani, M.Y. El-Ashry and U.A. Mofiz, Phys. Rev. E 50, 448 (1994).
  • [18] V.I. Berezhiani and S.M. Mahajan, Phys. Rev. Lett. 73, 1110 (1994).
  • [19] F.B. Rizzato, Plasma Phys. 40, 289 (1988).
  • [20] H.R. Miller and P.J. Witta, Active Galactic Nuclei (Berlin: Springer, 1987) p.202.
  • [21] F.C. Michel, Rev. Mod. Phys. 54, 1 (1982).
  • [22] S. Ali, W.M. Moslem, P.K. Shukla and R. Schlickeiser, Phys. Plasmas 14, 082307 (2007).
  • [23] M.J. Rees, The Very Early Universe (Cambridge: Cambridge University Press, 1983).
  • [24] C.M. Surko, M. Levelhal, W.S. Crane, A. Passne and F. Wysocki, Rev. Sci. Instrum. 57, 1862 (1986).
  • [25] C.M. Surko and T. Murphy, Phys. Fluids B 2, 1372 (1990).
  • [26] R.G. Greeves and C.M. Surko, Phys. Rev. Lett. 75, 3847 (1995).
  • [27] V.I. Berezhiani, D.D. Tskhakaya and P.K. Shukla, Phys. Rev. A 46, 6608 (1992).
  • [28] M. Marklund and P.K. Shukla, Rev. Mod. Phys. 78, 591 (2006).
  • [29] P.K. Shukla, Nature Phys. 5, 92 (2009).
  • [30] D. Shaikh and P.K. Shukla, New J. Phys. 10, 083007 (2008).
  • [31] G. Brodin, M. Marklund and G. Manfredi, Phys. Rev. Lett. 100, 175001 (2008).
  • [32] M. Marklund, G. Brodin, L. Stenflo and C.S. Liu, Europhys. Lett. 84, 17006 (2008).
  • [33] G. Brodin and M. Marklund, New J. Phys. 9, 277 (2007).
  • [34] M. Marklund and G. Brodin, Phys. Rev. Lett. 98, 025001 (2007).
  • [35] G. Manfredi, Fields Inst. Commun. 46, 263 (2005).
  • [36] C. Gardner, SIAM J. Appl. Math. 54, 409 (1994).
  • [37] A. Markowich, C. Ringhofer and C. Schmeiser, Semiconductor Equations (Springer, Vienna, 1990) Chaps. 1 and 2.
  • [38] M. Bonitz, D. Semkat, A. Filinov, V. Golubnychyi, D. Kremp, D.O. Gericke, M.S. Murillo, V. Filinov, V. Fortov and W. Hoyer, J. Phys. A 36, 5921 (2003).
  • [39] L.O. Silva, R. Bingham, J.M. Dawson, J.T. Mendonca and P.K. Shukla, Phys. Rev. Lett. 83, 2703 (1999).
  • [40] S. Chandrasekhar, An Introduction to the Study of Stellar Structure, Chicago, Ill. (The University of Chicago press, 1939).
  • [41] S.L. Shapiro and S.A. Teukolsky, Black Holes, White Dwarfs and Neutron Stars (Wiley, NewYork, 1983).
  • [42] A.M. Berthomier, R. Pottelette and R.A. Treumann, Phys. Plasmas 6, 467 (1999).
  • [43] R.A. Treumann and W. Baumjohann, Advanced Space Plasma Physics (Imperial Colleage Press, London, 1997) p.260.

This paper may be cited as follows:

Abdolrasoul ESFANDYARI-KALEJAHI, Massoud AKBARI-MOGHANJOUGHI and Ehsan SABERIAN, Plasma Fusion Res. 5, 045 (2010).