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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access August 17, 2014

Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust

  • Shikha Pervin EMAIL logo , Khandaker Ashrafi , M. Zobaer , Md. Salahuddin and A. Mamun
From the journal Open Physics

Abstract

The nonlinear propagation of the dust-acoustic (DA) waves in a strongly coupled dusty plasma containing Maxwellian electrons, nonthermal ions, and positively charged dust is theoritically investigated by a Burgers equation. The effects of the polarization force (which arises due to the interaction between electrons and highly positively charged dust grains) and nonthermal ions are studied. DA shock waves are found to exist with positive potential only. It represents that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of DA shock waves. The effects of polarization force and nonthermal ions significantly modified the basic features of DA shock waves in strongly coupled dusty plasma.

[1] F. Melandsø, Phys. Plasmas 55, 3890 (1996) http://dx.doi.org/10.1063/1.87157710.1063/1.871577Search in Google Scholar

[2] P.K. Kaw, A. Sen, Phys. Plasmas 5, 3552 (1998) http://dx.doi.org/10.1063/1.87307310.1063/1.873073Search in Google Scholar

[3] B. Farokhi, P.K. Shukla, N.L. Tsintsadze, D.D. Tskhakaya, Phys. Lett. A 264, 318 (1999) http://dx.doi.org/10.1016/S0375-9601(99)00820-810.1016/S0375-9601(99)00820-8Search in Google Scholar

[4] A.A. Mamun, P.K. Shukla, T. Farid, Phys. Plasmas 7, 2329 (2000) http://dx.doi.org/10.1063/1.87406810.1063/1.874068Search in Google Scholar

[5] X. Wang, A. Bhattacharjee, S. Hu, Phys. Rev. Lett. 86, 2569 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.256910.1103/PhysRevLett.86.2569Search in Google Scholar PubMed

[6] N.N. Rao, P.K. Shukla, M.Y. Yu, Planet. Space Sci. 38, 543 (1990) http://dx.doi.org/10.1016/0032-0633(90)90147-I10.1016/0032-0633(90)90147-ISearch in Google Scholar

[7] A.A. Mamun, P.K. Shukla, R.A. Cairns, Phys. Plasmas 3, 2610 (1996) http://dx.doi.org/10.1063/1.87197310.1063/1.871973Search in Google Scholar

[8] Y.Y. Wang Z.F. Zhang, Phys. Plasmas 13, 022303 (2006) http://dx.doi.org/10.1063/1.216791310.1063/1.2167913Search in Google Scholar

[9] E.K. El-Shewy, A.M. Zahram, K. Schoepf, S.A. Elwakil, Phys. Lett. A 332, 412 (2004) http://dx.doi.org/10.1016/j.physleta.2004.10.01210.1016/j.physleta.2004.10.012Search in Google Scholar

[10] A.A. Mamun, P.K. Shukla, Phys. Plasms 16, 053704 (2009) http://dx.doi.org/10.1063/1.313263010.1063/1.3132630Search in Google Scholar

[11] H. Reza Pakzad, Astrophys. Space Sci. 330, 301 (2010) http://dx.doi.org/10.1007/s10509-010-0406-y10.1007/s10509-010-0406-ySearch in Google Scholar

[12] W. F. El-Taibany, M. Wadati, R. Sabry, Phys. Plasmas 14, 032304 (2007) http://dx.doi.org/10.1063/1.264658710.1063/1.2646587Search in Google Scholar

[13] K. Annou R. Annou, New Vistas in Dusty Plasmas 799, 303 (2005) http://dx.doi.org/10.1063/1.213462510.1063/1.2134625Search in Google Scholar

[14] S. Sing, R. Bharuthram, IEEE Trans. Plasma Sci. 38, 852 (2010) http://dx.doi.org/10.1109/TPS.2010.204074310.1109/TPS.2010.2040743Search in Google Scholar

[15] R. Saeed, A. Shah, Phys. Plasms 17, 032308 (2010) http://dx.doi.org/10.1063/1.332880510.1063/1.3328805Search in Google Scholar

[16] P.K. Shukla, A.A. Mamun, IEEE Trans. Plasma Sci. 29, 221 (2001) http://dx.doi.org/10.1109/27.92369810.1109/27.923698Search in Google Scholar

[17] A.A. Mamun, B. Eliasson, P.K. Shukla, Phys. Lett. A 332, 412 (2004) http://dx.doi.org/10.1016/j.physleta.2004.10.01210.1016/j.physleta.2004.10.012Search in Google Scholar

[18] A.A. Mamun, P.K. Shukla, Phys. Lett. A 373, 3161 (2009) http://dx.doi.org/10.1016/j.physleta.2009.06.05210.1016/j.physleta.2009.06.052Search in Google Scholar

[19] A.A. Mamun, R.A. Cairns, Phys. Rev. E 79, 055401 (2009) http://dx.doi.org/10.1103/PhysRevE.79.05540110.1103/PhysRevE.79.055401Search in Google Scholar PubMed

[20] M.G.M. Anowar, M.S. Rahman, A.A. Mamun, Phys. Plasmas 16, 053704 (2009) http://dx.doi.org/10.1063/1.313263010.1063/1.3132630Search in Google Scholar

[21] A.A. Mamun, P.K. Shukla, New J. Phys. 11, 103022 (2009) http://dx.doi.org/10.1088/1367-2630/11/10/10302210.1088/1367-2630/11/10/103022Search in Google Scholar

[22] S. Hamaguchi, R.T. Farouki, Phys. Rev. E 49, 4430 (1994) http://dx.doi.org/10.1103/PhysRevE.49.443010.1103/PhysRevE.49.4430Search in Google Scholar

[23] S. Hamaguchi, R.T. Farouki, Phys. Plasmas 1, 2110 (1994) http://dx.doi.org/10.1063/1.87060810.1063/1.870608Search in Google Scholar

[24] S.A. Khrapak, A.V. Ivlev, V.V. Yaroshenko, G.E. Morfill, Phys. Rev. Lett. 102, 245004 (2009) http://dx.doi.org/10.1103/PhysRevLett.102.24500410.1103/PhysRevLett.102.245004Search in Google Scholar PubMed

[25] G. Gozadinos, A.V. Ivlev, J.P. Boef, New J. Phys. 5, 32 (2003) http://dx.doi.org/10.1088/1367-2630/5/1/33210.1088/1367-2630/5/1/332Search in Google Scholar

[26] V. Yaroshenko, F. Verheest, H.M. Thomas, G.E. Morfill, New J. Phys. 11, 073013 (2009) http://dx.doi.org/10.1088/1367-2630/11/7/07301310.1088/1367-2630/11/7/073013Search in Google Scholar

[27] A.A. Mamun, P.K. Shukla, Europhys. Lett. 87, 55001 (2009) http://dx.doi.org/10.1209/0295-5075/87/5500110.1209/0295-5075/87/55001Search in Google Scholar

[28] A.A. Mamun, K.S. Ashrafi, P.K. Shukla, Europhs. Lett. E 92, 15004 (2010) http://dx.doi.org/10.1209/0295-5075/92/1500410.1209/0295-5075/92/15004Search in Google Scholar

[29] A.A. Mamun, K.S. Ashrafi, P.K. Shukla, Phys. Rev. E 82, 026405 (2010) http://dx.doi.org/10.1103/PhysRevE.82.02640510.1103/PhysRevE.82.026405Search in Google Scholar PubMed

[30] S. Ichimaru, H. Iyetomi, S. Tanaka, Phys. Rep. 149, 91 (1987) http://dx.doi.org/10.1016/0370-1573(87)90125-610.1016/0370-1573(87)90125-6Search in Google Scholar

[31] W.L. Slattery, G.D. Doolen, H.E. DeWitt, Phys. Rev. A 21, 2087 (1980) http://dx.doi.org/10.1103/PhysRevA.21.208710.1103/PhysRevA.21.2087Search in Google Scholar

[32] M.A. Berkovsky, Phys. Lett. A 166, 365 (1992) http://dx.doi.org/10.1016/0375-9601(92)90724-Z10.1016/0375-9601(92)90724-ZSearch in Google Scholar

[33] H. Washimi, T. Taniuti, Phys. Rev. Lett. 17, 996 (1966) http://dx.doi.org/10.1103/PhysRevLett.17.99610.1103/PhysRevLett.17.996Search in Google Scholar

[34] A.A. Mamun, Phys. Lett. A 372, 4610 (2008) http://dx.doi.org/10.1016/j.physleta.2008.04.03810.1016/j.physleta.2008.04.038Search in Google Scholar

Published Online: 2014-8-17
Published in Print: 2014-11-1

© 2014 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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