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Nonlinear theory of longitudinal dust-lattice wave in a magnetic dusty plasma crystal

Published online by Cambridge University Press:  02 February 2012

M. SHAHMANSOURI  and
B. FAROKHI
M. SHAHMANSOURI
Affiliation:
Department of Physics, Faculty of Science, Arak-University, 38156–8-8349, Arak, Iran ([email protected])
B. FAROKHI
Affiliation:
Department of Physics, Faculty of Science, Arak-University, 38156–8-8349, Arak, Iran ([email protected])
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Abstract

The propagation of dust-lattice waves in two-dimensional hexagonal dusty plasma crystals in the presence of an external weak magnetic field is considered. Linear and nonlinear properties of the longitudinal dust-lattice waves are investigated. Dispersion relation, group velocity and evolution equation are found. The influence of the magnetic field on the propagation of dust-lattice waves is studied. We obtain the envelope evolution equation for longitudinal modes in the presence of a weak magnetic field, which is in the form of the Gross–Pitaevskii equation.

Type
Papers
Information
Journal of Plasma Physics , Volume 78 , Issue 3 , June 2012 , pp. 259 - 263
Copyright
Copyright © Cambridge University Press 2012

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References

[1]Melandso, F. 1996 Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal. Phys. Plasmas 3, 3890.Google Scholar
[2]Morfill, G., Thomas, H. M. and Zuzic, M. 1997 In Advances in Dusty Plasmas. Singapore: World Scientific.Google Scholar
[3]Vladimirov, S. V., Shevchenko, P. V. and Cramer, N. F. 1997 Vibrational modes in the dust-plasma crystal. Phys. Rev. E 56 R74.CrossRefGoogle Scholar
[4]Homann, A., Melzer, A., Peters, S. and Piel, A. 1997 Determination of the dust screening length by laser-excited lattice waves. Phys. Rev. E 56 7138.CrossRefGoogle Scholar
[5]Misawa, T., Ohno, N., Asano, K., Sawai, M., Takamura, S. and Kaw, P. K. 2001 Experimental observation of vertically polarized transverse dust-lattice wave propagating in a one-dimensional strongly coupled dust chain. Phys. Rev. Lett. 86, 1219.CrossRefGoogle Scholar
[6]Wang, X., Bhattacharjee, A. and Hu, S. 2001 Longitudinal and transverse waves in Yukawa crystals. Phys. Rev. Lett. 86, 2569.CrossRefGoogle ScholarPubMed
[7]Shukla, P. K. 2001 Phys. Plasmas 8, 1791.CrossRefGoogle Scholar
[8]Kalman, G. J., Hartmann, P., Donko, Z. and Rosenberg, M. 2004 Two-dimensional Yukawa liquids; correlation and dynamics. Phys. Rev. Lett. 92, 065001.CrossRefGoogle ScholarPubMed
[9]Uchida, G., Konopka, U. and Morfill, G. 2004 Wave dispersion relation of two-dimensional plasma crystals in a magnetic field. Phys. Rev. Lett. 93 155002.CrossRefGoogle ScholarPubMed
[10]Kourakis, I. and Shukla, P. K. 2004 Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal. Phys. Plasmas 11, 1384.CrossRefGoogle Scholar
[11]Kourakis, I. and Shukla, P. K. 2004 Nonlinear modulation of transverse dust lattice waves in complex plasma crystals. Phys. Plasmas 11, 2322.CrossRefGoogle Scholar
[12]Farokhi, B., Kourakis, I. and Shukla, P. K. 2006 Nonlinear modulated dust lattice wave packets in two-dimensional hexagonal dust crystals. Phys. Plasmas 13, 122304.CrossRefGoogle Scholar
[13]Vladimirov, S. V., Yaroshenko, V. V. and Morfill, G. E. 2006 Bending modes in the hexagonal dust-plasma crystal. Phys. Plasmas 13, 030703.CrossRefGoogle Scholar
[14]Farokhi, B. and M. Shahmansouri, M. 2009 New coupling of dust-lattice modes with an external magnetic field. Phys. Scripta 79, 065501.CrossRefGoogle Scholar
[15]Farokhi, B., Shahmansouri, M. and Kourakis, I. 2009 Modulated transverse off-plane dust-lattice wave packets in hexagonal two-dimensional dusty plasma crystals. Phys. Plasmas 16, 053706.CrossRefGoogle Scholar
[16]Farokhi, B., Shahmansouri, M. and Shukla, P. K. 2009 Dust grain oscillations in two-dimensional hexagonal dusty plasma crystals in the presence of a magnetic field. Phys. Plasmas 16, 063703.CrossRefGoogle Scholar
[17]Hartmann, P., Donko, Z., Kalman, G. J., Kyrkos, S., Golden, K. I. and Rosenberg, M. 2009 Phys. Rev. Lett. 103, 245002.CrossRefGoogle Scholar
[18]Ghosh, S. and Gupta, M. R. 2010 Solitary waves in two-dimensional dusty plasma crystal: effects of weak magnetic field. Phys. Plasmas 17, 034505.CrossRefGoogle Scholar
[19]Hartmann, P., Rosenberg, M., Kalman, G. J. and Donko, Z. 2011 Ground-state structures of superparamagnetic two-dimensional dusty plasma crystals. Phys. Rev. E 84 016409.CrossRefGoogle ScholarPubMed
[20]Farokhi, B. and Abdikian, A. 2011 Modulational instabilities in 2D magnetized dust-lattice. Phys. Plasmas 18, 113705.CrossRefGoogle Scholar