Abstract
The nonlinear properties of ion acoustic shock waves in a magnetized electronegative plasma with nonextensive electrons and stationary dust grains are studied. The reductive perturbation technique is applied to derive the Zakharov–Kuznetsov Burgers (ZKB) equation. The Tanh method is used to obtain the shock wave solution. The present model is applied to four different electronegative plasma media which are found in space plasma, e.g. (H+, H−) plasma and (H+, O2−) plasma, and laboratory experiments, e.g. (Xe+, SF6−) plasma and (Ar+, O2−) plasma. It is found that the concentration of negative ions and the electron nonextensive parameter have important effects on the features of the propagated ion acoustic shock waves.
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References
H. Massey, Negative Ions. 3rd edn. (Cambridge University Press, Cambridge, 1976)
M.A. Lieberman, A. Lichtenberg, Principle of Plasma Discharges and Materials Processing. 2nd edition (Wiley, New York, 2005)
W. Swider, in Ionospheric Modeling, edited by J.N. Korenkov (Birkhauser, Basel, 1988)
P.H. Chaizy, H. Reme, J.A. Sauvaud, C. d’Uston, R.P. Lin, D.E. Larson, D.L. Mitchell, K.A. Anderson, C.W. Carlson, A. Korth, D.A. Mendis, Nature (London) 349, 393 (1991)
A.J. Coates, F.J. Crary, G.R. Lewis, D.T. Young, J.H. Waite Jr., E.C. Sittler Jr., Geophys. Res. Lett. 34, L22103 (2007)
P. Kocian, Phys. Fluids 18, 1710 (1975)
B. Song, N. D’Angelo, R.L. Merlino, Phys. Fluids B3, 284 (1991)
I. Kaganovich, Phys. Plasmas 8, 2540(2001)
J.W. Coburn, H.F. Winters, J. Vacuum Sci. Technol. 16, 391 (1979)
Y. Ghim, N. Hershkowitz, Appl. Phys. Lett. 94, 151503 (2009)
R. Ichiki, S. Yoshimura, T. Watanabe, Y. Nakamura, Y. Kawai, Phys. Plasmas 9, 4481 (2002)
G.C. Das, S.G. Tagare, Phys. Plasmas 17, 1025 (1975)
S.S. Watanabe, J. Phys. Soc. Jpn. 53, 950 (1984)
S.G. Tagare, J. Plasma Phys. 36, 301 (1986)
J.L. Cooney, M.T. Gavin, K.E. Lonngren, Phys. Fluids B3, 2758 (1991)
B.A. Klumov, A.V. Ivlev, G. Morfill, JETP Lett. 78, 300 (2003)
M. Rapp, J. Hedin, J. Strelnikova, M. Friedrich, J. Gumbel, F.J. Lübken, Geophys. Res. Lett. 32, L23821 (2005)
S.H. Kim, R.L. Merlino, Phys. Plasmas 13, 052118 (2006)
M. Rosenberg, R.L. Merlino, Planet. Space Sci. 55, 1464 (2007)
W.M. Moslem, U.M. Abdelsalam, R. Sabry, P.K. Shukla, New J. Phys. 12, 073010 (2010)
S.K. El-Labany, E.F. El-Shamy, E.E. Behery, Phys. Plasmas 20, 122114 (2013)
B.A. Klumov, A.V. Ivlev, G. Morfill, JETP Lett. 78, 300 (2003)
R. Ichiki, M. Shindo, S. Yoshimura, T. Watanabe, Y. Kawai, Phys. Plasmas 8, 4275 (2001)
H.K. Andersen, N. D’Angelo, P. Michelsen, P. Nielsen, Phys. Fluids 11, 606 (1968)
R.J. Taylor, D.R. Baker, H. Ikezi, Phys. Rev. Lett. 24, 206 (1970)
H. Bailung, Y. Nakamura, Y. Saitou, Phys. Plasmas 15, 052311 (2008)
A. Renyi, Acta Math. Acad. Sci. Hung. 6, 285 (1955)
C. Tsallis, J. Stat. Phys. 52, 479 (1988)
C. Tsallis, Introduction to Nonextensive Statistical Mechanics (Springer, New York, 2009)
W.F. El-Taibany, M. Tribeche, Phys. Plasmas 19, 024507 (2012)
N. Akhter, W.F. El-Taibany, S. Mahmood, Phys. Lett. A 377, 1282 (2013)
N. Akhtar, W.F. El-Taibany, S. Mahmood, E.E. Behery, S.A. Khan, S. Ali, S. Hussain, J. Plasma Phys. 81, 905810518 (2015)
E.E. Behery, Phys. Rev. E 94, 053205 (2016)
S.K. El-Labany, W.F. El-Taibany, E.E. Behery, S.M. Fouda, Phys. Plasmas 24, 033713 (2017)
S.K. El-Labany, W.F. El-Taibany, E.E. Behery, S.M. Fouda, Phys. Plasmas 25, 013701 (2018)
U.K. Samanta, A. Saha, P. Chatterjee, Phys. Plasmas 20, 022111 (2013)
J. Tamang, K. Sarkar, A. Saha, Physica A 505, 18 (2018)
A. Saha, J. Tamang, Adv. Space Res. 63, 1596 (2019)
J. Tamang, A. Saha, Z. Naturforsch, a 74, 499 (2019)
W.F. El-Taibany, E.E. Behery, S.K. El-Labany, A.M. Abdelghany, Phys. Plasmas 26, 063701 (2019)
W.F. El-Taibany, E.E. Behery, S.K. El-Labany, A.M. Abdelghany, Eur. Phys. J. Plus 134, 457 (2019)
J. Tamang, A. Saha, Phys. Plasmas 27, 012105 (2020)
H. Washimi, T. Taniuti, Phys. Rev. Lett. 17, 996 (1966)
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El-Labany, S.K., Behery, E.E., Abd El-Razek, H.N. et al. Shock waves in magnetized electronegative plasma with nonextensive electrons. Eur. Phys. J. D 74, 104 (2020). https://doi.org/10.1140/epjd/e2020-10086-7
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DOI: https://doi.org/10.1140/epjd/e2020-10086-7