Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-29T02:44:52.836Z Has data issue: false hasContentIssue false

Time-dependent non-planar dust-acoustic solitary and shock waves in strongly coupled adiabatic dusty plasma

Published online by Cambridge University Press:  23 October 2012

M. S. RAHMAN
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh (shafiq_1105@yahoo.com)
B. SHIKHA
Affiliation:
Department of Mathematics, Shaikh Burhanuddin Postgraduate College, Dhaka-1100, Bangladesh
A. A. MAMUN
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh (shafiq_1105@yahoo.com)

Abstract

Time-dependent cylindrical and spherical dust-acoustic (DA) solitary and shock waves propagating in a strongly coupled dusty plasmas (containing strongly correlated negatively charged dust grains and weakly correlated adiabatic electrons and ions) are investigated. It is shown that cylindrical and spherical DA solitary and shock waves exist with negative potential, and that the strong correlation between the charged dust grains is a source of dissipation, and is responsible for the formation of cylindrical or spherical DA shock structures. It is also shown that the effects of a non-planar geometry (cylindrical and spherical) significantly modify the basic features (e.g. amplitude, width, speed, etc.) of DA solitary and shock waves. The implications of our results in laboratory experiments are briefly discussed.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anowar, M. G. M., Rahman, M. S. and Mamun, A. A. 2009 Phys. Plasmas 16, 053704.CrossRefGoogle Scholar
Bandyopadhyay, P., Prasad, G., Sen, A. and Kaw, P. K. 2007 Phys. Lett. A 368, 491.CrossRefGoogle Scholar
Barkan, A., Merlino, R. L. and D'Angelo, N. 1995 Phys. Plasmas 2, 3563 (1995).CrossRefGoogle Scholar
Berkovsky, M. A. 1992 Phys. Lett. A 166, 365.CrossRefGoogle Scholar
Chu, J. H. and Lin, I. 1994 Phys. Rev. Lett. 72, 4009.CrossRefGoogle Scholar
Durisen, R. H. 1973 Astrophys. J. 183, 205.CrossRefGoogle Scholar
Farokhi, B., Shukla, P. K., Tsintsadze, N. L. and Tskhakaya, D. D. 1999 Phys. Lett. A 264, 318.CrossRefGoogle Scholar
Fortov, V. E., Kharapak, S. A., Kharapak, A. G. and Morfill, G. E. 2005 Phys. Rep. 421, 1.CrossRefGoogle Scholar
Gozadinos, G., Ivlev, A. V. and Boef, J. P. 2003 New J. Phys. 5, 32.CrossRefGoogle Scholar
Hayashi, Y. and Tachibana, K. 1994 Jpn. J. Appl. Phys. 33, L804.CrossRefGoogle Scholar
Heinrich, J., Kim, S.-H. and Marlino, R. L. 2009 Phys. Rev. Lett. 103, 115002.CrossRefGoogle Scholar
Homann, A., Melzer, A., Peters, S. and Piel, A. 1997 Phys. Rev. E 56, 7138.CrossRefGoogle Scholar
Ichimaru, S., Iyetomi, H. and Tanaka, S. 1987 Phys. Rep. 149, 91.CrossRefGoogle Scholar
Ikezi, H. 1986 Phys. Fluids 29, 1764.CrossRefGoogle Scholar
Ishihara, O. 2007 J. Phys. D 40, R121.CrossRefGoogle Scholar
Karpman, V. I. 1975 Nonlinear Waves in Dispersive Media. Oxford, UK: Pergamon Press, pp. 101105.Google Scholar
Kaw, P. K. and Sen, A. 1998 Phys. Plasmas 5, 3552.CrossRefGoogle Scholar
Mamun, A. A. 1999 Astrophys. Space Sci. 268, 443.CrossRefGoogle Scholar
Mamun, A. A. 2008 Phys. Lett. A 372, 4610.CrossRefGoogle Scholar
Mamun, A. A. and Cairns, R. A. 2009 Phys. Rev. E 79, 055401(R).CrossRefGoogle Scholar
Mamun, A. A., Eliasson, B. and Shukla, P. K. 2004 Phys. Lett. A 332, 412.CrossRefGoogle Scholar
Mamun, A. A. and Shukla, P. K. 2009 Euro. Phys. Lett. 87, 55001.CrossRefGoogle Scholar
Mamun, A. A. and Shukla, P. K. 2009 Phys. Lett. A 373, 3161.CrossRefGoogle Scholar
Mamun, A. A., Shukla, P. K. and Cairns, R. A. 1996a Phys. Plasmas 3, 702.CrossRefGoogle Scholar
Mamun, A. A., Shukla, P. K. and Cairns, R. A. 1996b Phys. Plasmas 3, 2610.CrossRefGoogle Scholar
Mamun, A. A., Shukla, P. K. and Farid, T. 2000 Phys. Plasmas 7, 2329.CrossRefGoogle Scholar
Maxon, S. and Viecelli, J. 1974 Phys. Rev. Lett. 32, 4.CrossRefGoogle Scholar
Melandsø, F. 1996 Phys. Plasmas 55, 3890.CrossRefGoogle Scholar
Melandsø, F. and Shukla, P. K. 1995 Planet. Space Sci. 43, 635.CrossRefGoogle Scholar
Melzer, A., Homann, A. and Piel, A. 1996 Phys. Rev. E 53, 2757CrossRefGoogle Scholar
Mendis, D. A. and Rosenberg, M. 1994 Annu. Rev. Astron. Astrophys. 32, 419.CrossRefGoogle Scholar
Merlino, R. L. and D'Angelo, N. 2005 Phys. Plasmas 12, 054504.CrossRefGoogle Scholar
Merlino, R. L. and Goree, J. 2004 Phys. Today 57, 32.CrossRefGoogle Scholar
Morfill, G. E., Thomas, H. M. and Zuzic, M. 1997 Advances in Dusty Plasmas. (eds. Shukla, P. K., Mendis, D. A. and Desai, T.). Singapore: World Scientific, pp. 99142.Google Scholar
Rao, N. N. and Shukla, P. K. 1994 Planet. Space Sci. 42, 221.CrossRefGoogle Scholar
Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Planet. Space Sci. 38, 543.CrossRefGoogle Scholar
Rosenberg, M. and Kalman, G. 1997 Phys. Rev. E 56, 7166.CrossRefGoogle Scholar
Shukla, P. K. and Eliasson, B. 2009 Rev. Mod. Phys. 81, 23.CrossRefGoogle Scholar
Shukla, P. K. and Mamun, A. A. 2001 IEEE Trans. Plasma Sci. 29, 221.CrossRefGoogle Scholar
Shukla, P. K. and Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. Bristol, UK: IoP.CrossRefGoogle Scholar
Shukla, P. K. and Mamun, A. A. 2003 New J. Phys. 5, 17.CrossRefGoogle Scholar
Slattery, W. L., Doolen, G. D. and DeWitt, H. E. 1980 Phys. Rev. A 21, 2087.CrossRefGoogle Scholar
Tanaka, S. and Ichimaru, S. 1987 Phys. Rev. A. 35, 4743.CrossRefGoogle Scholar
Thomas, H. and Morfill, G. E. 1996 J. Vac. Sci. Technol. A 14, 501; 1996 Nature (London) 379, 806.CrossRefGoogle Scholar
Thomas, H., Morfill, G. E., Demmel, V., Goree, J., Feuerbacher, B. and Mohlmann, D. 1994 Phys. Rev. Lett. 73, 652.CrossRefGoogle Scholar
Thompson, C., Barkan, A., Merlino, R. L. and D'Angelo, N. 1999 IEEE Trans. Plasma Sci. 27, 146.CrossRefGoogle Scholar
Vieillefosse, P. and Hansen, J. P. 1975 Phys. Rev. A. 12, 1106.CrossRefGoogle Scholar
Wallenborn, J. and Baus, M. 1978 Phys. Rev. A. 18, 1737.CrossRefGoogle Scholar
Wang, X., Bhattacharjee, A. and Hu, S. 2001 Phys. Rev. Lett. 86, 2569.CrossRefGoogle Scholar
Yaroshenko, V., Verheest, F., Thomas, H. M. and Morfill, G. E. 2009 New J. Phys. 11, 073013.CrossRefGoogle Scholar
Zheng, X. H. and Earnshaw, J. C. 1995 Phys. Rev. Lett. 75, 4214.CrossRefGoogle Scholar