Skip to main content Accessibility help
×
Home

Dust–acoustic nonlinear periodic waves in a dusty plasma with charge fluctuation

  • L. L. YADAV (a1), S. V. SINGH (a2) and R. BHARUTHRAM (a3)

Abstract

Using the reductive perturbation method, we present a theory for dust–acoustic nonlinear periodic waves, namely dust–acoustic cnoidal waves, in a plasma containing hot electrons and ions, and warm dust grains with varying charge. It is found that the frequency of the cnoidal wave is a function of its amplitude. It is also found that the dust grain charge fluctuation and other plasma parameters modify the properties of the dust–acoustic cnoidal waves. In the limiting case, these dust–acoustic cnoidal waves reduce to the well-known dust–acoustic solitons.

Copyright

References

Hide All
Barkan, A., Merlino, R. L. and D'Angelo, N. 1995 Laboratory observation of the dust-acoustic wave mode. Phys. Plasmas 2, 3563.
Bharuthram, R. and Shukla, P. K. 1992a Large amplitude double layers in dusty plasmas. Planet. Space Sci. 40, 465.
Bharuthram, R. and Shukla, P. K. 1992b Vortices in non-uniform dusty plasmas. Planet. Space Sci. 40, 647.
Ghosh, S., Sarkar, S., Khan, M. and Gupta, M. R. 2000 Dust ion acoustic shock waves in a collisionless dusty plasma. Phys. Lett. A 275, 109.
Goertz, C. K. 1989 Dusty plasmas in the solar system. Rev. Geophys. 27, 271.
Gurevich, A. V. and Stenflo, L. 1988 Nonlinear defocusing of radio wave beams in the ionosphere. Phys. Scr. 38, 855.
Jana, M. R., Sen, A. and Kaw, P. K. 1993 Collective effects due to charge-fluctuation dynamics in a dusty plasma. Phys. Rev. E 48, 3930.
Kauschke, U. and Schlüter, H. 1991 On nonlinear periodic drift waves. Plasma Phys. Control. Fusion 33, 1309.
Konno, K., Mitsuhashi, T. and Ichikawa, Y. H. 1979 Propogation of ion acoustic cnoidal wave. J. Phys. Soc. Japan 46, 1907.
Ma, J. X. and Liu, J. 1997 Dust-acoustic soliton in a dusty plasma. Phys. Plasmas 4, 253.
Melandsø, F. 1996 Lattice waves in dust plasma crystals. Phys. Plasmas 3, 3890.
Melandsø, F., Aslaksen, T. K. and Havens, O. 1993 A new damping effect for the dust-acoustic wave. Planet. Space Sci. 41, 321.
Mendis, D. A. 2000 Of comets, rings and other things: A random walk in cosmic physics. Planet. Space Sci. 48, 251.
Merlino, R., Barkan, A., Thompson, C. and D'Angelo, N. 1998 Laboratory studies of waves and instabilities in dusty plasmas. Phys. Plasmas 5, 1607.
Meuris, P. and Verheest, F. 1996 Korteweg-de Vries equation for magnetosonic modes in dusty plasmas. Phys. Lett. A 219, 299.
Moola, S., Bhauthram, R. and Baboolal, S. 2005 Reduction of dust acoustic soliton amplitude due to dust charge variation. Phys. Plasmas 12, 042310.
Nakamura, Y., Bailung, H. and Shukla, P. K. 1999 Observation of ion-acoustic shocks in a dusty plasma. Phys. Rev. Lett. 83, 1602.
Nakamura, Y. and Sarma, A. 2001 Observation of ion-acoustic solitary waves in a dusty plasma. Phys. Plasmas 8, 3921.
Northrop, T. G. 1992 Dusty plasmas. Phys. Scr. 45, 475.
Popel, S. I., Yu, M. Y. and Tsytovich, V. N. 1996 Shock waves in plasmas containing variable–charge impurities. Phys. Plasmas 3, 4313.
Prabhakara, H. R. and Tanna, V. L. 1996 Trapping of dust and dust acoustic waves in laboratory plasmas. Phys. Plasmas 3, 3176.
Rao, N. N. and Shukla, P. K. 1994 Nonlinear dust-acoustic waves with dust charge fluctuations. Planet. Space Sci. 42, 221.
Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38, 543.
Samsonov, D., Ivlev, A. V., Quinn, R. A., Morfill, G. and Zhdanov, S. 2002 Dissipative longitudinal solitons in a two-dimensional strongly coupled complex (dusty) plasma. Phys. Rev. Lett. 88, 095004.
Shukla, P. K. 2001 A survey of dusty plasma physics. Phys. Plasmas 8, 1791.
Shukla, P. K. and Eliasson, B. 2009 Fundamentals of dust-plasma interactions. Rev. Mod. Phys. 81, 25.
Shukla, P. K. and Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. Institute of Physics Publishing, Bristol, pp. 135.
Singh, S. V. and Rao, N. N. 1998 Adiabatic dust-acoustic waves with dust-charge fluctuations. J. Plasma Phys. 60, 541.
Thomas, E. Jr., Fisher, R. and Merlino, R. L. 2007 Observations of dust acoustic waves driven at high frequencies: Finite dust temperature effects and wave interference. Phys. Plasmas 14, 123701.
Thomas, E. Jr., and Merlino, R. L. 2001 Dust particle motion in the vicinity of dust acoustic waves. IEEE Trans. Plasma Sci. 29, 152.
Tiwari, R. S., Jain, S. L. and Chawla, J. K. 2007 Ion acoustic cnoidal waves and associated nonlinear ion flux in a warm ion plasma. Phys. Plasmas 14, 022106.
Tsytovich, V. N., Morfill, G. E. and Thomas, H. 2002 Complex Plasmas: I. Complex plasmas as unusual state of matter. Plasma Phys. Rep. 28, 623.
Varma, R. K., Shukla, P. K. and Krishan, V. 1993 Electrostatic oscillations in the presence of grain-charge perturbations in dusty plasmas. Phys. Rev. E 47, 3612.
Verheest, F. 2000 Waves in Dusty Space Plasmas. Kluwer Academic, Dordrecht, pp. 4166.
Xie, B., He, K. and Huang, Z. 1999 Dust-acoustic solitary waves and double layers in dusty plasma with variable dust charge and two-temperature ions. Phys. Plasmas 6, 3808.
Yadav, L. L., Tiwari, R. S., Maheshwari, K. P. and Sharma, S. R. 1995 Ion-acoustic nonlinear periodic waves in a two-electron-temperature plasma. Phys. Rev. E 52, 3045.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Related content

Powered by UNSILO

Dust–acoustic nonlinear periodic waves in a dusty plasma with charge fluctuation

  • L. L. YADAV (a1), S. V. SINGH (a2) and R. BHARUTHRAM (a3)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.