Quantum Ion Acoustic Solitary and Shock Waves in Dissipative Warm Plasma with Fermi Electron and Positron

Authors: Hamid Reza Pakzad

Abstract:

Ion-acoustic solitary and shock waves in dense quantum plasmas whose constituents are electrons, positrons, and positive ions are investigated. We assume that ion velocity is weakly relativistic and also the effects of kinematic viscosity among the plasma constituents is considered. By using the reductive perturbation method, the Korteweg–deVries–Burger (KdV-B) equation is derived.

Keywords: Ion acoustic shock waves; Quantum plasmas

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078046

References:

[1] H. G. Craighead, Science 290, 1532 (2000).
[2] M. Marklund and P. K. Shukla, Rev. Mod. Phys. 78, 591 (2006).
[3] S. H. Glenzer, O. L. Landen, P. Neumayer, R. W. Lee, K. Widmann, S. W. Pollaine, R. J. Wallace, G. Gregori, A. Holl, T. Bornath, R. Thiele, V. Schwarz, W.-D. Kraeft, and R. Redmer, Phys. Rev. Lett. 98, 065002 (2007).
[4] G. Chabrier, F. Douchin, and A. Y. Potekhin, J. Phys.: Condens. Matter 14, 9133 (2002).
[5] M. Opher, L. O. Silva, D. E. Dauger, V. K. Decyk, and J. M. Dawson, Phys. Plasmas 8, 2454 (2001).
[6] Y. D. Jung, Phys. Plasmas 8, 3842 (2001).
[7] D. Kremp, Th. Bornath, M. Bonitz, and M. Schlanges, Phys. Rev. E 60, 4725 (1999).
[8] G. A. Mourou, T. Tajima, and S. V. Bulanov, Rev. Mod. Phys. 78, 309 (2006).
[9] E. Madelung, Z. Phys. 40, 332 (1926).
[10] M. G. Ancona and G. J. Iafrate, Phys. Rev. B 39, 9536 (1989).
[11] M. V. Kuzelev and A. A. Rukhadze, Phys. Usp. 42, 603 (1999).
[12] C. Gardner and C. Ringhofer, VLSI Des. 10, 415 (2000).
[13] I. Gasser and P. A. Markowich, Asymptotic Anal. 14, 97 (1997).
[14] I. Gasser, C. K. Lin, and P. Markowich, Taiwan. J. Math. 4, 501 (2000).
[15] P. A. Markowich, C. A. Ringhofer, and C. Schmeiser, SemiconductorEquations (Springer, Vienna, 1990).
[16] C. Gardner, IEEE Trans. Electron Devices 38, 392 (1991).
[17] C. Gardner, J. Jerome, and D. Rose, IEEE Trans. Comput.-Aided Des. 8, 501 (1989).
[18] H. R. Mille and P. Witta, Active Galactic Nuclei (Springer, Berlin, 1987), p. 202.
[19] F. C. Michel, Rev. Mod. Phys. 54, 1 (1982).
[20] F. C. Michel, Theory of Neutron Star Magnetosphere (Chicago University Press, Chicago, 1991).
[21] V. Berezhiani, D. D. Tskhakaya, and P. K. Shukla, Phys. Rev. A 46, 6608 (1992).
[22] W. Misner, K. Thorne, and J. A. Wheeler, Gravitation (Freeman, SanFrancisco, 1973), p. 763.
[23] M. L. Burns, Positron-Electron Pairs in Astrophysics, edited by M. L.Burns, A. K. Harding, and R. Ramaty (American Institute of Physics, Melville, NY, 1983).
[24] Y. N. Nejoh, Phys. Plasmas 3, 1447 (1996).
[25] F. Verheest, M. A. Hellberg, G. J. Gray, and R. L. Mace, Astrophys. Space Sci. 239, 125 (1995).
[26] A. Mushtaq and H. A. Shah, Phys. Plasmas 12, 072306 (2005).
[27] I. Kourakis, F. Verheest, and N. Cramer, Phys. Plasmas 14, 022306 (2007).
[28] S. Ali, W. M. Moslem, P. K. Shukla, and R. Schlickeiser, Phys. Plasmas 14, 082307 (2007).
[29] B. Sahu and R. Roychoudhury, Phys. Plasmas 14, 072310 (2007).
[30] J-K. Xue, Phys. Plasmas 10, 4893 (2003).
[31] B. Sahu, R. Roychoudhury, Phys. Plasmas 14, 012304 (2007).
[32] P. Chatterjee, K. Roy, S. V. Muniandy, S. L. Yap and C. S. Wong, 16, 042311 (2009)
[33] W. Masood and H. Rizvi, Phys. Plasmas 14, 022303 (2010).
[34] S. A. Khan, S. Mahmood and H. Saleem, Phys. Plasmas 15, 082303 (2008)
[35] W. Masood,1 Arshad M. Mirza,2 and M. Hanif, Phys. Plasmas 15, 072106 (2008)
[36] W. Masood, A. Mushtaq, and R. Khan, Phys. Plasmas 14, 123702 (2007)
[37] S. A. Khan1 and W. Masood, Phys. Plasmas 15, 062301 (2008)
[38] Saeed-ur-Rehman, Phys. Plasmas 17, 062303 (2010)
[39] S.A. Khan, S. Masood, S. Ali, Phys. Plasmas 16, 044505 (2009)
[40] Sheng-Chang Li, Phys. Plasmas 17, 082307 (2010)
[41] U.M. Abdelsalam, W.M. Moslem, P.K. Shukla, Phys. Lett. A 372 (2008) 4057
[42] A. Mushtaq, S. A. Khan, Phys. Plasmas 14, 052307 (2007)
[43] S.A. Khan, W. Masood, Phys. Plasmas 15 (2008) 062301.
[44] F. Haas, L.G. Garcia, J. Goedert, G. Manfredi, Phys. Plasmas 10 (2003) 3858.
[45] Roy K, Misra A P and Chatterjee P Phys. Plasmas 15 032310 (2008)
[46] R. Roychoudhury, G. C. Das, and J. Sarma, Phys. Plasmas 6, 2721 (1999).
[47] A.M. Wazwaz, Nonlinear Sci. Numer. Simul. 13 (2008) 584.
[48] Asif Shah, R. Saeed, Physics Letters A 373 (2009) 4164.
[49] T.S. Gill, A. Singh, H. Kaur, N.S. Saini, P. Bala, Phys. Lett. A 361 (2007) 364.
[50] H.R. Pakzad, Astrophys Space Sci (2011) 331: 169-174.