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Effect of the pressure of the dust grains in strongly coupled dusty plasma on the head-on collision between two nonlinear waves

Published online by Cambridge University Press:  28 February 2020

Ling-Ling Tao Open the ORCID record for Ling-Ling Tao [Opens in a new window] ,
Fang-Ping Wang ,
Dong-Ning Gao ,
Heng Zhang  and
Wen-Shan Duan
Ling-Ling Tao
Affiliation:
Northwest Normal University, Lanzhou 730070, PR China
Fang-Ping Wang
Affiliation:
Northwest Normal University, Lanzhou 730070, PR China
Dong-Ning Gao
Affiliation:
Lanzhou City University, Lanzhou 730070, PR China
Heng Zhang*
Affiliation:
Northwest Normal University, Lanzhou 730070, PR China
Wen-Shan Duan*
Affiliation:
Northwest Normal University, Lanzhou 730070, PR China
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

The head-on collision between two dust-acoustic solitary waves in a non-magnetized, collisionless and strongly coupled dust plasma has been studied. The application scope of the analytical solution of the head-on collision is given in the present paper by using the particle-in-cell simulation method. It is noted that the analytical results are valid if the amplitudes of both of the solitary waves are small enough. The effects of the coupling parameters on both the head-on collision and the waveform are also studied in the present paper.

Keywords

strongly coupled plasmasplasma simulationplasma waves
Type
Research Article
Information
Journal of Plasma Physics , Volume 86 , Issue 1 , February 2020 , 905860111
Copyright
© Cambridge University Press 2020

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References

Borah, P., Bhattacharjee, S. & Das, N. 2016 Dust ion acoustic solitary and shock waves in strongly coupled dusty plasma in presence of attractive interparticle interaction potential. Phys. Plasmas 23 (10), 103706.CrossRefGoogle Scholar
Cousens, S. E., Yaroshenko, V. V., Sultana, S., Hellberg, M. A., Verheest, F. & Kourakis, I. 2014 Dust-acoustic shocks in strongly coupled dusty plasmas. Phys. Rev. E 89 (4), 043103.Google ScholarPubMed
Dresselhaus, G., Kip, A. F. & Kittel, C. 1955 Plasma resonance in crystals: observations and theory. Phys. Rev. 100 (2), 618–625.CrossRefGoogle Scholar
El-Labany, S. K., El-Taibany, W. F., El-Shamy, E. F., El-Depsy, A. & Zedan, N. A. 2012 Head-on-collision of modulated dust acoustic waves in strongly coupled dusty plasma. Phys. Plasmas 19 (10), 103708.CrossRefGoogle Scholar
EL-Shamy, E. F. & Al-Asbali, A. M. 2014 Head-on collision of dust-acoustic shock waves in strongly coupled dusty plasmas. Phys. Plasmas 21 (9), 093701.CrossRefGoogle Scholar
Fortov, V. E. & Morfill, G. E. 2009 Complex and Dusty Plasmas: From Laboratory to Space. CRC Press.CrossRefGoogle Scholar
Gardner, C. S., Greener, J. M., Kruskal, M. D. & Miura, R. M. 1967 Method for solving the Korteweg–deVries equation. Phys. Rev. Lett. 19 (19), 1095–1097.CrossRefGoogle Scholar
Ghosh, S., Gupta, M. R., Chakrabarti, N. & Chaudhuri, M. 2011 Nonlinear wave propagation in a strongly coupled collisional dusty plasma. Phys. Rev. E 83 (6), 066406.Google Scholar
Goertz, C. K. 1989 Dusty plasmas in the solar system. Rev. Geophys. 27, 271–292.CrossRefGoogle Scholar
Han, J.-N., Yang, X.-X., Tian, D.-X. & Duan, W.-S. 2008 Head-on collision of ion-acoustic solitary waves in a weakly relativistic electron–positron–ion plasma. Phys. Lett. A 372, 4817–4821.CrossRefGoogle Scholar
Heidemann, R., Zhdanov, S., Sutterlin, R., Thomas, H. M. & Morfill, G. E. 2009 Dissipative dark soliton in a complex plasma. Phys. Rev. Lett. 102 (13), 135002.CrossRefGoogle Scholar
Huang, G. & Velarde, M. G. 1996 Head-on collision of two concentric cylindrical ion acoustic solitary waves. Phys. Rev. E 53 (3), 2988–2991.Google ScholarPubMed
Ikezi, H. 1986 Coulomb solid of small particles in plasmas. Phys. Fluids 29 (6), 1764.CrossRefGoogle Scholar
Jaiswal, S., Bandyopadhyay, P. & Sen, A. 2014 Theoretical study of head-on collision of dust acoustic solitary waves in a strongly coupled complex plasma. Phys. Plasmas 21 (5), 053701.CrossRefGoogle Scholar
Jeffery, A. & Kawahawa, T. 1982 Asymptotic Methods in Nonlinear Wave Theory. Pitman.Google Scholar
Kaw, P. K. & Sen, A. 1998 Low frequency modes in strongly coupled dusty plasmas. Phys. Plasmas 5 (10), 3552–3559.CrossRefGoogle Scholar
Korteweg, D. J. & de Vries, G. 1895 On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves. Phil. Mag. 39 (5), 422–443.CrossRefGoogle Scholar
Kumar, S., Tiwari, S. K. & Das, A. 2017 Observation of the Korteweg–de Vries soliton in molecular dynamics simulations of a dusty plasma medium. Phys. Plasmas 24 (3), 033711.CrossRefGoogle Scholar
Mamun, A. A., Ashrafi, K. S. & Shukla, P. K. 2010 Effects of polarization force and effective dust temperature on dust-acoustic solitary and shock waves in a strongly coupled dusty plasma. Phys. Rev. E 82 (2), 026405.Google Scholar
Mamun, A. A. & Shukla, P. K. 2009 Arbitrary-amplitude dust-acoustic solitary waves in a strongly coupled dusty plasma. Europhys. Lett. 87, 55001.CrossRefGoogle Scholar
MelandsØ, F. 1996 Lattice waves in dust plasma crystals. Phys. Plasmas 3 (11), 3890–3901.CrossRefGoogle Scholar
Melzer, A., Trottenberg, T. & Piel, A. 1994 Experimental determination of the charge on dust particles forming Coulomb lattices. Phys. Lett. A 191, 301–308.CrossRefGoogle Scholar
Mendis, D. A. & Rosenberg, M. 1994 Cosmic dusty plasmas. Annu. Rev. Astron. Astrophys. 32, 419–463.CrossRefGoogle Scholar
Mishra, A., Kaw, P. K. & Sen, A. 2000 Instability of shear waves in an inhomogeneous strongly coupled dusty plasma. Phys. Plasmas 7 (8), 3188–3193.CrossRefGoogle Scholar
Nosenko, V., Goree, J. & Piel, A. 2006 Cutoff wave number for shear waves in a two-dimensional Yukawa system (dusty plasma). Phys. Rev. Lett. 97 (11), 115001.CrossRefGoogle Scholar
Rao, N. N. 1999 Dust–Coulomb waves in dense dusty plasmas. Phys. Plasmas 6 (12), 4414–4417.CrossRefGoogle Scholar
Rao, N. N., Shukla, P. K. & Yu, M. Y. 1990 Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38 (4), 543–546.CrossRefGoogle Scholar
Samsonov, D. & Goree, J. 1999 Instabilities in a dusty plasma with ion drag and ionization. Phys. Rev. E 59 (1), 1047–1058.Google Scholar
Shahmansouri, M. & Mamun, A. A. 2015 Effects of strong electrostatic interaction on multi-dimensional instability of dust-acoustic solitary waves in a magnetized strongly coupled dusty plasma. Phys. Plasmas 22 (7), 073709.CrossRefGoogle Scholar
Sharma, S. K., Boruah, A. & Bailung, H. 2014 Head-on collision of dust-acoustic solitons in a strongly coupled dusty plasma. Phys. Rev. E 89 (1), 013110.Google Scholar
Sheridan, T. E., Nosenko, V. & Goree, J. 2008 Experimental study of nonlinear solitary waves in two-dimensional dusty plasma. Phys. Plasmas 15 (7), 073703.CrossRefGoogle Scholar
Shukla, P. K. & Silin, V. P. 1992 Dust ion-acoustic wave. Phys. Scr. 45 (5), 508.CrossRefGoogle Scholar
Slattery, W. L., Doolen, G. D. & DeWitt, H. E. 1980 Improved equation of state for the classical one-component plasma. Phys. Rev. A 21 (6), 2087–2095.CrossRefGoogle Scholar
Slattery, W. L., Doolen, G. D. & DeWitt, H. E. 1982 $N$ dependence in the classical one-component plasma Monte Carlo calculations. Phys. Rev. A 26 (4), 2255–2258.CrossRefGoogle Scholar
Su, C. H. & Mirie, R. M. 1980 On head-on collisions between two solitary waves. Fluid Mech. 98 (3), 509–525.CrossRefGoogle Scholar
Thomas, H. M. & Morfill, G. E. 1996 Melting dynamics of a plasma crystal. Nature 379 (6568), 806–809.CrossRefGoogle Scholar
Tiwari, S. K., Das, A., Sen, A. & Kaw, P. 2015 Molecular dynamics simulations of soliton-like structures in a dusty plasma medium. Phys. Plasmas 22 (3), 033706.CrossRefGoogle Scholar
Veeresha, B. M., Tiwari, S. K., Sen, A., Kaw, P. K. & Das, A. 2010 Nonlinear wave propagation in strongly coupled dusty plasmas. Phys. Rev. E 81 (3), 036407.Google ScholarPubMed
Verheest, F., Hellberg, M. A. & Hereman, W. A. 2012 Head-on collisions of electrostatic solitons in nonthermal plasmas. Phys. Rev. E 86 (3), 036402.Google ScholarPubMed
Xie, B. S. & Yu, M. Y. 2000 Dust acoustic waves in strongly coupled dissipative plasmas. Phys. Rev. E 62 (6), 8501–8507.Google ScholarPubMed
Xue, J.-K. 2004 Head-on collision of dust-acoustic solitary waves. Phys. Rev. E 69 (1), 016403.Google ScholarPubMed
Zabusky, N. J. & Kruskal, M. D. 1965 Interaction of ‘solitons’ in a collisionless plasma and the recurrence of initial states. J. Phys. Rev. Lett. 15 (6), 240–243.CrossRefGoogle Scholar
Zhang, J., Yang, Y., Xu, Y.-X., Yang, L., Qi, X. & Duan, W. S. 2014 The study of the Poincare–Lighthill–Kuo method by using the particle-in-cell simulation method in a dusty plasma. Phys. Plasmas 21 (10), 103706.CrossRefGoogle Scholar