Abstract
A theoretical investigation on the characteristics of dust-acoustic shock waves (DASHWs) in an unmagnetized multi-ion dusty plasma has been made both theoretically and analytically. The plasma medium is assumed to compose of arbitrarily charged inertial dusts, Boltzmann distributed negatively charged heavy ions, positively charged light ions, and superthermal (excess energetic) electrons (where superthermality is modelled via the κ-distribution). The reductive perturbation technique is employed in order to derive the nonlinear time evolution Burgers type equation. The basic properties of DASHWs are analysed via the solution of Burgers equation. It is observed that different plasma parameters (electrons superthermality, dust temperature, ion temperature, dust kinematic viscosity, etc.) influence the propagation of DASHWs. Both polarity (positive and negative potential) shock waves are also found to exists. The study of our model under consideration is helpful for explaining the propagation of DASHWs in space observations, where superthermal electrons and Maxwellian ions are accountable.
Graphical abstract
Similar content being viewed by others
References
T.A. Ellis, J.S. Neff, Icarus 91, 280 (1991)
M. Horányi, Annu. Rev. Astron. Astrophys. 34, 383 (1996)
O. Havnes, J. Trøim, T. Blix, W. Mortensen, L. Næsheim, E. Thrane, T. Tønnesen, J. Geophys. Res. 101, 10839 (1996)
F.S. Ali, M.A. Ali, R.A. Ali, I.I. Inculet, J. Electrostatics 45, 139 (1998)
H. Zhao, G.S.P. Castle, I.I. Inculet, J. Electrostatics 55, 261 (2002)
H. Zhao, G.S.P. Castle, I.I. Inculet, A.G. Bailey, IEEE Trans. Ind. Appl. 39, 612 (2003)
V.W. Chow, D.A. Mendis, M.J. Rosenberg, Geophys. Res. 98, 19065 (1993)
M. Rosenberg, D.A. Mendis, IEEE Trans. Plasma Sci. 23, 177 (1995)
V.E. Fortov, A.P. Nefedov, O.S. Vaulina, A.M. Lipaev, V.I. Molotkov, A.A. Samaryan, V.P. Nikitskii, A.I. Ivanov, S.F. Savin, A.V. Kalmykov, A.Ya. Solov’ev, P.V. Vinogradov, J. Exp. Theor. Phys. 87, 1087 (1998)
M. Rosenberg, D.A. Mendis, D.P. Sheehan, IEEE Trans. Plasma Sci. 27, 239 (1999)
P.K. Shukla, A.A. Mamun, Introduction to Dusty Plasma Physics (Institute of Physics, Bristol, 2002)
P.K. Shukla, Phys. Plasmas. 8, 1791 (2001)
A. Barkan, N. D’Angelo, R. Merlino, Planet. Space Sci. 44, 239 (1996)
R.L. Merlino, A. Barkan, C. Thompson, N. D’Angelo, Phys. Plasmas 5, 1607 (1998)
H. Massey, Negative Ions, 3rd edn. (Cambridge University Press, Cambridge, 1976)
R.A. Gottscho, C.E. Gaebe, IEEE Trans. Plasma Sci. 14, 92 (1986)
M. Bascal, G.W. Hamilton, Phys. Rev. Lett. 42, 1538 (1979)
R. Ichiki, S. Yoshimura, T. Watanabe, Y. Nakamura, Y. Kawai, Phys. Plasmas. 9, 4481 (2002)
S.J. Buchsbaum, Phys. Fluids 3, 418 (1960)
S.A. Ema, M. Ferdousi, S. Sultana, A.A. Mamun, Eur. Phys. J. Plus 130, 46 (2015)
M.R. Hossen, M.A. Hossen, S. Sultana, A.A. Mamun, Astrophys. Space Sci. 357, 34 (2015)
V.L. Yakimenko, Tech. Phys. 7, 117 (1962)
M.A. Gintsburg, Geomagn. Aeronomy 3, 610 (1963)
S. Sultana, A.A. Mamun, Astrophys. Space Sci. 349, 229 (2014)
M. Mobarak Hossen, M.S. Alam, S. Sultana, A.A. Mamun, Phys. Plasma 23, 023703 (2016)
M. Mobarak Hossen, M.S. Alam, S. Sultana, A.A. Mamun, Eur. Phys. J. D 70, 252 (2016)
V.M. Vasyliunas, J. Geophys. Res. 73, 2839 (1968)
D. Summers, R.M. Thorne, Phys. Fluids B 3, 1835 (1991)
R.L. Mace, M.A. Hellberg, Phys. Plasmas 2, 2098 (1995)
S. Sultana, G. Sarri, I. Kourkis, Phys. Plasmas 19, 012310 (2012)
M.M. Masud, S. Sultana, A.A. Mamun, Astrophys. Space Sci. 348, 99 (2013)
M.S. Alam, M.M. Masud, A.A. Mamun, Chin. Phys. B 22, 115202 (2013)
M. Ferdousi, A.A. Mamun, Braz. J. Phys. 45, 244 (2015)
M. Ferdousi, M.R. Miah, S. Sultana, A.A. Mamun, Braz. J. Phys. 45, 89 (2015)
M. Ferdousi, S. Yasmin, S. Ashraf, A.A. Mamun, Chin. Phys. Lett. 32, 015201 (2015)
M. Ferdousi, M.R. Miah, S. Sultana, A.A. Mamun, Astrophys. Space Sci. 360, 43 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ferdousi, M., Sultana, S., Hossen, M.M. et al. Dust-acoustic shock excitations in κ-nonthermal electron depleted dusty plasmas. Eur. Phys. J. D 71, 102 (2017). https://doi.org/10.1140/epjd/e2017-80003-4
Received:
Published:
DOI: https://doi.org/10.1140/epjd/e2017-80003-4