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Weakly dissipative dust-ion acoustic wave modulation

  • H. Alinejad (a1) (a2), M. Mahdavi (a1) and M. Shahmansouri (a3)

Abstract

The modulational instability of dust-ion acoustic (DIA) waves in an unmagnetized dusty plasma is investigated in the presence of weak dissipations arising due to the low rates (compared to the ion oscillation frequency) of ionization recombination and ion loss. Based on the multiple space and time scales perturbation, a new modified nonlinear Schrödinger equation governing the evolution of modulated DIA waves is derived with a linear damping term. It is shown that the combined action of all dissipative mechanisms due to collisions between particles reveals the permitted maximum time for the occurrence of the modulational instability. The influence on the modulational instability regions of relevant physical parameters such as ion temperature, dust concentration, ionization, recombination and ion loss is numerically examined. It is also found that the recombination frequency controls the instability growth rate, whereas recombination and ion loss make the instability regions wider.

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Corresponding author

Email address for correspondence: alinejad@nit.ac.ir

References

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Alinejad, H. 2010 Dust ion-acoustic solitary and shock waves in a dusty plasma with non-thermal electrons. Astrophys. Space Sci. 327, 131137.
Alinejad, H. 2012 Influence of arbitrarily charged dust and trapped electrons on propagation of localized dust ion-acoustic waves. Astrophys. Space Sci. 337, 223.
Alinejad, H. & Tribeche, M. 2010 Dust ion-acoustic shock waves in charge varying dusty plasmas with electrons having vortexlike velocity distribution. Phys. Plasmas 17, 123712.
Amin, M. R., Morfill, G. E. & Shukla, P. K. 1998 Modulational instability of dust-acoustic and dust-ion-acoustic waves. Phys. Rev. E 58, 6517.
Bains, A. S., Tribeche, M. & Gill, T. S. 2011 Modulational instability of ion-acoustic waves in a plasma with a q-nonextensive electron velocity distribution. Phys. Plasmas 18, 022108.
Barkan, A., D’Angelo, N. & Merlino, R. L. 1996 Experiments on ion-acoustic waves in dusty plasmas. Planet. Space Sci. 44, 239.
Boufendi, L. & Bouchoule, A. 2002 Industrial developments of scientific insights in dusty plasmas. Plasma Sources Sci. Technol. 11, A211.
Cramer, N. F. & Vladimirov, S. V. 2001 Waves in dusty plasma discharges. Phys. Scr. T 89, 122.
Duan, W.-S., , K.-P. & Zhao, J.-B. 2001 Hot dust acoustic solitary waves in dust plasma with variable dust charge. Chin. Phys. Lett. 18, 1088.
El-Labany, S. K. & El-Taibany, W. F. 2003 Dust acoustic solitary waves and double layers in a dusty plasma with trapped electrons. Phys. Plasmas 10, 4685.
El-Taibany, W. F. & Sabry, R. 2005 Dust-acoustic solitary waves and double layers in a magnetized dusty plasma with nonthermal ions and dust charge variation. Phys. Plasmas 12, 082302.
Fedele, R. & Schamel, H. 2002 Solitary waves in the Madelung’s fluid: connection between the nonlinear Schrödinger equation and the Korteweg–de Vries equation. Eur. Phys. J. B 27, 313.
Fedele, R., Schamel, H. & Shukla, P. K. 2002 Solitons in the Madelung’s fluid. Phys. Scr. 98, 18.
Gharaee, H., Afghah, S. & Abbasi, H. 2011 Modulational instability of ion-acoustic waves in plasmas with superthermal electrons. Phys. Plasmas 18, 032116.
Goree, J., Morfill, G. E., Tsytovich, V. N. & Vladimirov, S. V. 1999 Theory of dust voids in plasmas. Phys. Rev. E 59, 7055.
Jeffery, A. & Kawahara, T. 1982 Asymptotic Methods in Nonlinear Wave Theory. Pitman.
Jukui, X. & He, L. 2003 Modulational instability of cylindrical and spherical dust ion-acoustic waves. Phys. Plasmas 10, 339.
Kako, M. & Hasegawa, A. 1976 Stability of oblique modulation on an ion-acoustic wave. Phys. Fluids 19, 1967.
Kokura, H., Yoneda, S., Nakamura, K., Mitsuhira, N., Nakamura, M. & Sugai, H. 1999 Diagnostic of surface wave plasma for oxide etching in comparison with inductive RF plasma. Jpn. J. Appl. Phys. 1 38, 5226.
Kourakis, I. & Shukla, P. K. 2003 Modulational instability and localized excitations of dust-ion acoustic waves. Phys. Plasmas 10, 3459.
Kourakis, I. & Shukla, P. K. 2004 Finite ion temperature effects on oblique modulational stability and envelope excitations of dust-ion acoustic waves. Eur. Phys. J. D 28, 109.
Kourakis, I. & Shukla, P. K. 2005 Nonlinear compressional electromagnetic ion-cyclotron wavepackets in space plasmas. Nonlinear Process. Geophys. 12, 441.
Luo, Q. Z., D’Angelo, N. & Merlino, R. L. 1999 Experimental study of shock formation in a dusty plasma. Phys. Plasmas 6, 3455.
Mamun, A. A. 2008 Dust–electron–acoustic shock waves due to dust charge fluctuation. Phys. Lett. A 372, 4610.
Misra, A. P., Chowdhury, K. R. & Chowdhury, A. R. 2007 Saddle-node bifurcation and modulational instability associated with the pulse propagation of dust ion-acoustic waves in a viscous dusty plasma: a complex nonlinear Schrödinger equation. Phys. Plasmas 14, 012110.
Moslem, W. M. & El-Taibany, W. F. 2005 Effect of two-temperature trapped electrons to nonlinear dust-ion-acoustic solitons. Phys. Plasmas 12, 122309.
Mushtaq, A., Nasir Khattak, M., Zulfiqar, A. & Qamar, A. 2012 Dust ion acoustic soliton in pair-ion plasmas with non-isothermal electrons. Phys. Plasmas 19, 042304.
Nakamura, Y., Bailung, H. & Shukla, P. K. 1999 Observation of ion-acoustic shocks in a dusty plasma. Phys. Rev. Lett. 83, 1602.
Nakamura, Y. & Sarma, A. 2001 Observation of ion-acoustic solitary waves in a dusty plasma. Phys. Plasmas 8, 3921.
Popel, S. I., Golub, A. P., Losseva, T. V., Ivlev, A. V., Khrapak, S. A. & Morfill, G. 2003 Weakly dissipative dust-ion-acoustic solitons. Phys. Rev. E 67, 056402.
Robinson, P. A. 1997 Nonlinear wave collapse and strong turbulence. Rev. Mod. Phys. 69, 507.
Saini, N. S. & Kourakis, I. 2008 Dust-acoustic wave modulation in the presence of superthermal ions. Phys. Plasmas 15, 123701.
Samsonov, D. & Goree, J. 1999 Instabilities in a dusty plasma with ion drag and ionization. Phys. Rev. E 59, 1047.
Shahmansouri, M. & Alinejad, H. 2013 Dust acoustic shock waves in a suprathermal dusty plasma with dust charge fluctuation. Astrophys. Space Sci. 343, 251.
Shukla, P. K. & Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. IOP.
Shukla, P. K. & Silin, V. P. 1992 Dust ion-acoustic wave. Phys. Scr. 45, 508.
Taniuti, T. & Yajima, N. 1969 Perturbation method for a nonlinear wave modulation. I. J. Math. Phys. 10, 1369.
Tribeche, M. & Boumezoued, G. 2008 Effect of electron nonthermality on nonlinear electrostatic solitary waves in a charge varying dusty plasma. Phys. Plasmas 15, 053702.
Vladimirov, S. V. & Ostrikov, K. N. 2004 Dynamic self-organization phenomena in complex ionized gas systems: new paradigms and technological aspects. Phys. Rep. 393, 175380.
Vladimirov, S. V., Ostrikov, K. N. & Yu, M. Y. 1999 Ion-acoustic waves in a dust-contaminated plasma. Phys. Rev. E 60, 3257.
Wang, Y., Guo, C., Jiang, X., Zhou, Z., Ni, X., Qian, P. & Shen, J. 2010 The effects of nonadiabatic dust charge variation and ultraviolet irradiation on the modulational instability of dust ion acoustic waves. Phys. Plasmas 17, 113701.
Xue, J. K. 2003 Modulation of dust acoustic waves with non-adiabatic dust charge fluctuations. Phys. Lett. A 320, 226.
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Weakly dissipative dust-ion acoustic wave modulation

  • H. Alinejad (a1) (a2), M. Mahdavi (a1) and M. Shahmansouri (a3)

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