Abstract
The nonlinear propagation of dust acoustic (DA) waves in an unmagnetized dusty plasma system consisting of negatively charged mobile dust fluid, Boltzmann distributed electrons, and two-temperature nonthermally distributed ions, is rigorously investigated. The reductive perturbation method has been employed to derive the Burgers equation. The hydrodynamic equation for inertial dust grains has been used to derive the Burgers equation. The effects of two temperature nonthermally distributed ions and dust kinematic viscosity, which are found to significantly modify the basic features of DA shock waves, are briefly discussed. Our present investigation can be effectively utilized in many astrophysical situations (e.g. satellite or spacecraft observations, Saturn’s E ring, etc.), which are discussed briefly in this analysis.
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References
Alinezad, H.: Astrophys. Space Sci. 327, 131 (2010)
Alinezad, H.: Astrophys. Space Sci. 331(2), 611 (2011)
Bacha, M., Tribeche, M.: Astrophys. Space Sci. 337, 253 (2012)
Barkan, A., Merlino, R.L., D’Angelo, N.: Phys. Plasmas 2, 3563 (1995)
Benzekka, M., Tribeche, M.: Astrophys. Space Sci. 338, 63 (2012)
Bogdanov, E.A., Kudryavtsev, A.A.: Tech. Phys. Lett. 27, 905 (2001)
Cairns, R.A., et al.: Geophys. Res. Lett. 22, 2709 (1995)
Chow, V.W., Rosenberg, M.: IEEE Trans. Plasma Sci. 22, 179 (1994)
Davidson, R.C.: Methods in Nonlinear Plasma Theory. Academic Press, New York (1972)
Davis, W.D., DeSilva, A.W.: Phys. Fluids 16, 1740 (1973)
de Angelis, U., et al.: J. Plasma Phys. 40(3), 399 (1988)
Duha, S.S.: Phys. Plasmas 16, 113701 (2009)
El-Awady, E.I., Djebli, M.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1159-6
El-Labany, S.K., et al.: Astrophys. Space Sci. 337, 231 (2012)
Eliasson, B., Shukla, P.K.: Phys. Rev. E 69, 067401 (2004)
Feldman, W.C., et al.: J. Geophys. Res. 88, 96 (1983)
Feuerbacher, B., Fitton, B.: J. Appl. Phys. 43, 1563 (1972)
Franklin, R.N., Snell, J.: J. Plasma Phys. 64, 131 (2000)
Futaana, Y., et al.: J. Geophys. Res. 108, 1025 (2003). doi:10.1029/2002JA009366
Ghim (Kim), Y., Hershkowitz, N.: Appl. Phys. Lett. 94, 151503 (2009)
Goldman, M.V., Oppenheim, M.M., Newman, D.L.: Nonlinear Process. Geophys. 6, 211 (1999)
Havnes, O., et al.: J. Geophys. Res. 92, 2281 (1987)
Horányi, M.: Annu. Rev. Astron. Astrophys. 34, 383 (1996)
Horányi, M., Mendis, D.A.: J. Geophys. Res. 91(A1), 335 (1986)
Kundu, N.R., Masud, M.M., Ashrafi, K.S., Mamun, A.A.: Astrophys. Space Sci. (2012). doi:10.1007/s10509-012-1223-2
Lichtenberg, A.J., et al.: Plasma Sources Sci. Technol. 6, 437 (1997)
Lin, M.M., Duan, W.S.: Chaos Solitons Fractals 33, 1189 (2007)
Lundin, R., et al.: Nature (London) 341, 609 (1989)
Maier, E.J., Hoffman, J.H.: J. Geophys. Res. 79(16), 2444 (1974)
Mamun, A.A.: Phys. Scr. 58, 505 (1998)
Mamun, A.A., Cairns, R.A.: Phys. Rev. E 79, 055401(R) (2009)
Mamun, A.A., Shukla, P.K.: Geophys. Res. Lett. 29(18), 1870 (2002)
Mamun, A.A., Tasnim, S.: Phys. Plasmas 17, 073704 (2010)
Mamun, A.A., Cairns, R.A., Shukla, P.K.: Phys. Lett. A 373, 2355 (2009a)
Mamun, A.A., Shukla, P.K., Eliasson, B.: Phys. Plasmas 16, 114503 (2009b)
Masud, M.M., Asaduzzaman, M., Mamun, A.A.: Phys. Plasmas (2012a). doi:10.1063/1.4753922
Masud, M.M., Asaduzzaman, M., Mamun, A.A.: Astrophys. Space Sci. (2012b). doi:10.1007/s10509-012-1244-x
Masud, M.M., Asaduzzaman, M., Mamun, A.A.: J. Plasma Phys. (2012c). doi:10.1017/S0022377812000852
Melandsø, F.: Phys. Plasmas 3(11), 3890 (1996)
Mendis, D.A., Rosenberg, M.: Annu. Rev. Astron. Astrophys. 32, 418 (1994)
Merlino, R.L., Goree, J.: Phys. Today 57, 32 (2004)
Michael, C.A., Howard, J., Blackwell, B.D.: Phys. Plasmas 11, 4008 (2004)
Nakamura, Y., Bailung, H., Shukla, P.K.: Phys. Rev. Lett. 83, 1602 (1999)
Pakzad, H.R.: Astrophys. Space Sci. 330, 301 (2010)
Rao, N.N., et al.: Planet. Space Sci. 38(4), 543 (1990)
Sahu, B., Tribeche, M.: Astrophys. Space Sci. 334, 259 (2012)
Sanjit, K.P., et al.: IEEE Trans. Plasma Sci. 37(4), 627 (2009)
Sayeed, F., Mamun, A.A.: Phys. Plasmas 14(1), 014501 (2007)
Shukla, P.K.: Phys. Plasmas 8(5), 1791 (2001)
Shukla, P.K., Mamun, A.A.: Introduction to Dusty Plasma Physics. IoP Publishing, Bristol (2002)
Shukla, P.K., Silin, V.P.: Phys. Scr. 45, 508 (1992)
Shukla, P.K., Stenflo, L.: Astrophys. Space Sci. 190(1), 23 (1992)
Tagare, S.G., Sing, S.V., Reddy, R.V., Lakhina, G.S.: Nonlinear Process. Geophys. 11, 215 (2004)
Tribeche, M., Houili, H.H., Zerguini, T.: Phys. Plasmas 11, 3001 (2004)
Verheest, F.: Waves in Dusty Plasmas. Kluwer Academic, Dordrecht (2000)
Zhang, K.B., Wang, H.Y.: J. Korean Phys. Soc. 55, 1461 (2009)
Zhou, Z.J., Wang, H.Y., Zhang, K.B.: Pramana 78, 127 (2011)
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Tasnim, I., Masud, M.M. & Mamun, A.A. Effects of nonthermal ions of distinct temperatures on dust acoustic shock waves in a dusty plasma. Astrophys Space Sci 343, 647–652 (2013). https://doi.org/10.1007/s10509-012-1275-3
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DOI: https://doi.org/10.1007/s10509-012-1275-3