Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T21:20:34.442Z Has data issue: false hasContentIssue false

Effect of superthermal electrons on dust-acoustic shock waves in coupled dusty plasmas

Published online by Cambridge University Press:  12 November 2012

HAMID REZA PAKZAD
Affiliation:
Department of Physics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
MOULOUD TRIBECHE
Affiliation:
Theoretical Physics Laboratory, Plasma Physics Group, Faculty of Physics, University of Bab-Ezzouar, USTHB, BP 32, El Alia, Algiers 16111, Algeria ([email protected])

Abstract

Nonlinear dust-acoustic (DA) shock waves in coupled dusty plasmas with negative dust grains and kappa-distributed electrons are discussed. Using a generalized hydrodynamic model, the dispersion relation and the Korteweg–de Vries-Burger (KdVB) equation for low-frequency DA modes in a strongly coupled dusty plasma are derived. The dependence of shock waves on various plasma parameters is then explored. A solitonic profile may be converted into a shock structure when correlation among dust particles becomes stronger. The amplitude as well as the steepness of shock waves increases with increasing the value of the spectral index k.

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

Abbasi, H. and Hakimi Pajouh, H. 2007 Phys. Plasmas 14, 012307.CrossRefGoogle Scholar
Anowar, M. G. M., Rahman, M. S. and Mamun, A. A. 2009 Phys. Plasmas 16, 053704.CrossRefGoogle Scholar
Baluku, T. K. and Hellberg, M. A. 2008 Phys. Plasmas 15, 123705.CrossRefGoogle Scholar
Barkan, A., Merlino, R. L. and D'Angelo, N. 1995 Phys. Plasmas 2, 3563.CrossRefGoogle Scholar
Cairns, R. A., Mamun, A. A., Bingham, R., Dendy, R. O., Boström, R. and Shukla, P. K. 1995 Geophys. Res. Lett. 22, 2709.CrossRefGoogle Scholar
Chateau, Y. F. and Meyer-Vernet, N. 1991 J. Geophys. Res. 96, 5825, doi:10.1029/90JA02565.Google Scholar
Choi, C. R., Min, K. W. and Rhee, T. N. 2011 Phys. Plasmas 18, 092901.CrossRefGoogle Scholar
Chu, J. H. and Lin, I. 1994 Phys. Rev. Lett. 72, 4009.CrossRefGoogle Scholar
de Angelis, U., Forlani, A. and Masiello, G. 2000 Phys. Plasmas 7, 3198.CrossRefGoogle Scholar
Feldman, W. C., Asbridge, J. R., Bame, S. J. and Montgomery, M. D. 1973 J. Geophys. Res. 78, 2017.CrossRefGoogle Scholar
Formisano, V., Moreno, G. and Palmiotto, F. 1973 Geophys. Res. 78, 3714.CrossRefGoogle Scholar
Fortov, V. E, Khrapak, A. G., Khrapak, S. A., Molotkov, V. I. and Petrov, O. F. 2004a Phys. Usp. 47, 447.CrossRefGoogle Scholar
Fortov, V. E, Ivlev, A. V., Khrapak, S. A., Khrapak, A. G. and Morfill, G. E. 2005 Phys. Rep. 421, 1.CrossRefGoogle Scholar
Ganguli, G., Merlino, R. and Sen, A. 2002 URSI Review of Radio Science.Google Scholar
Goertz, C. K. 1989 Rev. Geophys. 27, 271.CrossRefGoogle Scholar
Hamaguchi, S., Farouki, R. T. and Dubin, D. H. E. 1997 Phys. Rev. E 56, 4671.Google Scholar
Hasegawa, A., Mima, K. and Duong-van, M. 1985 Phys. Rev. Lett. 54, 2608.CrossRefGoogle Scholar
Hayashi, Y. and Tachibana, K. 1994 Jpn. J. Appl. Phys. 1 33, L804.CrossRefGoogle Scholar
Hellberg, M. A. and Mace, R. L. 2002 Phys. Plasmas 9, 1495.CrossRefGoogle Scholar
Hellberg, M. A., Mace, R. L., Armstrong, R. J. and Karlstad, G. 2000 J. Plasma Phys. 64, 433.CrossRefGoogle Scholar
Hollenstein, C. 2000 Plasma Phys. Control. Fusion 42, R93.CrossRefGoogle Scholar
Ichimaru, S. and Tanaka, S. 2001 Phys. Rev. Lett. 56, 2815.CrossRefGoogle Scholar
Ichimaru, S., Iyctomi, 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.Google Scholar
Jones, G. H., Roussos, E., Krupp, N., Beckmann, U., Coates, A. J., Crary, F., Dandouras, I., Dikarev, V., Dougherty, M. K., Garnier, P.et al. 2008 Science 319, 1380.CrossRefGoogle Scholar
Joyce, G., Lampe, M. and Ganguli, G. 2002 Phys. Rev. Lett. 88, 095006.CrossRefGoogle Scholar
Kaw, P. K. 2001 Phys. Plasmas 8, 1870.CrossRefGoogle Scholar
Kaw, P. K. and Sen, A. 1998 Phys. Plasmas 5, 3552.CrossRefGoogle Scholar
Khrapak, S. A., Ivlev, A. V., Yaroshenko, V. V. and Morfill, G. E. 2009 Phys. Rev. Lett. 102, 245004.CrossRefGoogle Scholar
Krimigis, S. M., Carbary, J. F., Keath, E. P., Armstrong, T. P., Lanzerotti, L. J. and Gloeckler, G. 1983 J. Geophys. Res. 88, 8871, doi:10.1029/JA088iA11p08871.CrossRefGoogle Scholar
Lee, H. C. and Chen, D. Y. 1997 Phys. Rev. E 56, 4596.Google Scholar
Leubner, M. P. 2002 Astrophys. Space Sci. 282, 573.CrossRefGoogle Scholar
Leubner, M. P. 2004 Phys. Plasmas 11, 1308.CrossRefGoogle Scholar
Lima, J. A. S., Silva, R. and Plastino, A. R. 2001 Phys. Rev. Lett. 86, 2938.CrossRefGoogle Scholar
Mace, R. L. and Hellberg, M. A. 1995 Phys. Plasmas 2, 2098.CrossRefGoogle Scholar
Maksimovic, M., Zouganelis, I., Chaufray, J.et al. 2005 J. Geophys. Res. 368, 110, A09104, doi:10.1029/2005JA011119.CrossRefGoogle Scholar
Mamun, A. A., Russell, S. M., Mendoza-Briceño, C. A., Alam, M. N., Datta, T. K. and Das, A. K. 2000 Planet. Space Sci. 48, 163.CrossRefGoogle Scholar
Mamun, A. A., Eliasson, B. and Shukla, P. K. 2004 Phys. Lett. A 332, 412.CrossRefGoogle Scholar
Mareev, E. A. and Sarafanov, G. F. 1998 Phys. Plasmas 5, 1563.CrossRefGoogle Scholar
Mendis, D. A. and Rosenberg, M. 1994 Annu. Rev. Astron. Astrophys. 32, 419.CrossRefGoogle Scholar
Mendonça, J. T., Rao, N. N. and Guerreiro, A. 2001 Europhys. Lett. 54, 741.CrossRefGoogle Scholar
Merlino, R. L. and Goree, J. 2004 Phys. Today 57, 32.CrossRefGoogle Scholar
Molotkov, V. I.et al. 1999 JETP 89, 477; Fortov, V. I.et al. 2004b Phys. Rev. E 69, 016402.CrossRefGoogle Scholar
Murillo, M. S. 2000 Phys. Plasmas 7, 33.CrossRefGoogle Scholar
Nouri Kadijani, M., Abbasi, H. and Hakimi Pajouh, H. 2011 Phys. Control. Fusion 53, 025004.CrossRefGoogle Scholar
Ohta, H. and Hamaguchi, S. 2000 Phys. Rev. Lett. 84, 6026.CrossRefGoogle Scholar
Olbert, S. 1968 Physics of the Magnetosphere. In: Astrophysics and Space Science Library, Vol. 10 (eds. Carovillano, R. D., McClay, J. F. and Radoski, H. R.). Berlin, Germany: Springer, 641 pp.Google Scholar
Pieper, J. B. and Goree, J. 1996 Phys. Rev. Lett. 77, 3137.CrossRefGoogle Scholar
Plastino, A. R., Giordano, C., Plastino, A. and Casas, M. 2004 Physica A 336, 376.Google Scholar
Podesta, J. J. 2005 Phys. Plasmas 12, 052101.CrossRefGoogle Scholar
Prabhakara, H. R. and Tanna, V. L. 2006 Phys. Plasmas 3, 3176.CrossRefGoogle Scholar
Ramos, F. M., Rosa, R. R. and Bambace, L. A. W. 2004 Physica A 344, 626.CrossRefGoogle Scholar
Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Planet. Space Sci. 38, 541.CrossRefGoogle Scholar
Rosenberg, M. and Kalman, G. 1997 Phys. Rev. E 56, 7166.CrossRefGoogle Scholar
Rosenberg, M., Thomas, E. Jr. and Merlino, R. L. 2008 Phys. Plasmas 15, 073701.CrossRefGoogle Scholar
Rubab, N. and Murtaza, G. 2006 Phys. Scr. 73, 178.CrossRefGoogle Scholar
Saini, N. S. and Kourakis, I. 2008 Phys. Plasmas 15, 123701.CrossRefGoogle Scholar
Saini, N. S., Kourakis, I. and Hellberg, M. A. 2009 Phys. Plasmas 16, 062903.CrossRefGoogle Scholar
Schippers, P., Blanc, M., André, N., Dandouras, I., Lewis, G. R., Gilbert, L. A., Persoon, A. M., Krupp, N., Gurnett, D. A., Coates, A. J.et al. 2008 J. Geophys. Res., 113, A07208.CrossRefGoogle Scholar
Scudder, J. D., Sittler, E. C. and Bridge, H. S. 1981 J. Geophys. Res. 86, 8157.CrossRefGoogle Scholar
Shah, A. and Saeed, R. 2009 Phys. Lett. A 373, 4164.CrossRefGoogle Scholar
Shizgal, B. D. 2007 Astrophys. Space Sci. 312, 227.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
Shukla, P. K. and Rosenberg, M. 1999 Phys. Plasmas 6, 1038.CrossRefGoogle Scholar
Silva, R., Plastino, A. R. and Lima, J. A. S. 1998 Phys. Lett. A 249, 401.CrossRefGoogle Scholar
Slattery, W. L., Doolen, G. D. and DeWitt, H. E. 1980 Phys. Rev. A 21, 2087.CrossRefGoogle Scholar
Summers, D. and Thorne, R. M. 1991 Phys. Fluids B 3, 1835.CrossRefGoogle Scholar
Thomas, H., Morfill, G. E., Demmel, V., Goree, J., Feuerbacher, B. and Mohlmann, D. 1994 Phys. Rev. Lett. 73, 652.CrossRefGoogle Scholar
Thomas, E. Jr., Fischer, R. and Merlino, R. L. 2007 Phys. Plasmas 14, 123701.CrossRefGoogle Scholar
Totsuji, H., Kishimoto, T. and Totsuji, C. 1997 Phys. Rev. Lett. 78, 3113.CrossRefGoogle Scholar
Tsallis, C. 1988 J. Stat. Phys. 52, 479.CrossRefGoogle Scholar
Valentini, F. and D'Agosta, R. 2007 Phys. Plasmas 14, 092111.CrossRefGoogle Scholar
Varma, R. K., Shukla, P. K. and Krishan, V. 1993 Phys. Rev. E 47, 3612.Google Scholar
Vasyliunas, V. M. 1968 J. Geophys. Res. 73, 2839, doi:10.1029/JA073i009p02839.CrossRefGoogle Scholar
Veeresha, B. M., Tiwari, S. K., Sen, A., Kaw, P. K. and Das, A. 2010 Phys. Rev. E 81, 036407.Google Scholar
Verheest, F. 2000 Waves in Dusty Space Plasmas. Dordrecht, Netherlands: Kluwer.CrossRefGoogle Scholar
Washimi, H. and Taniuti, T. 1996 Phys. Rev. Lett. 17, 996.CrossRefGoogle Scholar
Wazwaz, A. M. 2008 Nonlinear Sci. Numer. Simul. 13, 584.CrossRefGoogle Scholar
Xie, B. S., He, K. F., Huang, Z. Q. and Yu, M. Y. 1999 Phys. Plasmas 6, 2997.CrossRefGoogle Scholar
Xie, B. S. and Yu, M. Y. 2000a Phys. Plasmas 7, 3137.CrossRefGoogle Scholar
Xie, B. S. and Yu, M. Y. 2000b Phys. Scr. 62, 413.CrossRefGoogle Scholar
Zhang, L. P. and Xue, J. 2005 Phys. Plasmas 12, 042304.CrossRefGoogle Scholar
Zouganelis, I. 2008 J. Geophys. Res. 113, A08111, doi:10.1029/2007JA012979.CrossRefGoogle Scholar