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2018 | OriginalPaper | Chapter

Chaotic to Periodic Phenomena of Dust-Ion-Acoustic Waves in a Collisional Dusty Plasma

Authors : Tushar Kanti Das, Prasanta Chatterjee

Published in: Advanced Computational and Communication Paradigms

Publisher: Springer Singapore

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Abstract

The existence of chaotic and periodic structures of dust-ion-acoustic nonlinear waves (DIAWs) is reported through dynamical system approach in a dusty plasma with dust-ion collision effect. Employing the reduction perturbation technique (RPT), the damped modified Korteweg-de Vries (DmKdV) equations are derived. The nonlinear wave phenomena of perturbed DmKdv equation is studied in presence of an applied external force. Chaotic behavior is found in some critical composition for the said perturbed system. It is seen that dust-ion collisional frequency acts as a controlling parameter to chaos and changes the structure from chaotic motion to periodic motion.

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Literature
1.
Verheest, F.: Waves in Dusty Space Plasmas. Kluwer Academic, Dordrecht (2000)CrossRef
2.
Shukla, P.K., Mamun, A.A.: Introduction to Dusty Plasma Physics. IOP, Bristol (2002)CrossRef
3.
Barkan, A., D’Angelo, N., Merlino, R.L.: Experiments on ion-acoustic waves in dusty plasmas. Planet Space Sci. 44, 239 (1996)CrossRef
4.
Wang, X., Bhattacharjee, A., Gou, S.K., Goree, J.: Ionization instabilities and resonant acoustic modes. Phys. Plasmas 8, 5018 (2001)CrossRef
5.
Mendis, D.A.: Progress in the study of dusty plasmas. Plasma Sources Sci. Technol. 11, A219 (2002)CrossRef
6.
El-Labany, S.K., Shalaby, M., El-Shamy, E.F., El-Sherif, L.S.: Effects of two-temperature electrons, external oblique magnetic field, concentration of charged dust grains and higher-order nonlinearity on dust ion-acoustic solitary waves in Saturn’s E-ring. Planet Space Sci. 57, 1246 (2009)CrossRef
7.
Shukla, P.K., Silin, V.P.: Dust ion-acoustic wave. Phys. Scr. 45, 508 (1992)CrossRef
8.
Barkan, A., Merlino, R.L., D’Angelo, N.: Laboratory observation of the dustacoustic wave mode. Phys. Plasmas 2, 3563 (1995)CrossRef
9.
Hayashi, Y., Tachibana, K.: Observation of Coulomb-crystal formation from carbon particles grown in a methane plasma. Jpn. J. Appl. Phys. 33, L804 (1994)CrossRef
10.
Thomas, H., Morfill, G.E., Demmel, V., Goree, J., Feuerbacher, B., Mhlmann, M.: Plasma crystal: Coulomb crystallization in a dusty plasma. Phys. Rev. Lett. 73, 652 (1994)CrossRef
11.
Shukla, P.K., Mamun, A.A.: Dust-acoustic shocks in a strongly coupled dusty plasma. IEEE Trans. Plasma Sci. 29, 221 (2001)CrossRef
12.
Mamun, A.A., Eliasson, B.P.: Dust-acoustic solitary and shock waves in a strongly coupled liquid state dusty plasma with a vortex-like ion distribution. Phys. Lett. A 332, 412 (2004)CrossRef
13.
Rahaman, M.S., Shikha, B., Mamun, A.A.: Time-dependent non-planar dust-acoustic solitary and shock waves in strongly coupled adiabatic dusty plasma. J. Plasma Phys. 79(3), 249–255 (2013)CrossRef
14.
Garai, S., Banerjee, B., Janaki, M.S., Chakrabarti, N.: Velocity shear effect on the longitudinal wave in a strongly coupled dusty plasma. Astrophys. Space Sci 349, 789–798 (2014)CrossRef
15.
Chakrabarti, N., Ghosh, S.: Longitudinal dust acoustic solitary waves in a strongly coupled complex (dusty) plasma. J. Plasma Phys. 81, 905810310 (2015)CrossRef
16.
Ghosh, S., Sarkar, S., Khan, M., Gupta, M.R.: Nonlinear properties of small amplitude dust ion acoustic solitary waves. Phys. Plasmas 7, 3594 (2000)CrossRef
17.
Moslem, M.: Linear and nonlinear properties of dust-acoustic waves in collisional, magnetized dusty plasmas. Phys. Plasmas 10, 3168 (2003)CrossRef
18.
Zahibo, N., Pelinovsky, E., Sergeeva, A.: Weakly damped KdV soliton dynamics with the random force. Chaos Solitons Fractals 39, 1645–1650CrossRef
19.
El-Labany, S.K., Shalaby, M., El-Shamy, E.F., Khaled, M.A.: The dust ion acoustic waves propagation in collisional dusty plasmas with dust charge fluctuations: effect of ion loss and ionization. J. Plasma Phys. 77, 95 (2010)CrossRef
20.
Misra, A.P., Adhikary, N.C., Shukla, P.K.: Ion-acoustic solitary waves and shocks in a collisional dusty negative-ion plasma. Phys. Rev. E 86, 056406 (2012)
21.
Maitra, S., Banerjee, G.: Dust ion acoustic solitary waves in a collisional dusty plasma with dust grains having Gaussian distribution. Phys. Plasmas 21, 113707 (2014)CrossRef
22.
Samanta, U.K., Saha, A., Chatterjee, P.: Bifurcations of dust ion acoustic travelling waves in a magnetized dusty plasma with a q-nonextensive electron velocity distribution. Phys. Plasmas 20, 022111 (2013)
23.
Saha, A., Chatterjee, P.: Dust ion acoustic travelling waves in the framework of a modified Kadomtsev-Petviashvili equation in a magnetized dusty plasma with superthermal electrons. Astrophys. Space Sci. 349, 813 (2014)CrossRef
24.
Saha, A.: Solitonic, periodic, quasiperiodic and chaotic structures of dust ion acoustic waves in nonextensive dusty plasmas. Eur. Phys. J. D 69, 203 (2015)CrossRef
25.
Saha, A., Chatterjee, P.: Electron acoustic blow up solitary waves and periodic waves in an unmagnetized plasma with kappa distributed hot electrons. Astrophys. Space Sci. 353, 163 (2014)CrossRef
26.
Saha, A., Tamang, J.: Qualitative analysis of the positron-acoustic waves in electron-positron-ion plasmas with deformed Kaniadakis distributed electrons and hot positrons. Phys. Plasmas 24, 082101 (2017)CrossRef
27.
Bains, A.S., Tribeche, M., Gill, T.S.: Modulational instability of ion-acoustic waves in a plasma with aq-nonextensive electron velocity distribution. Phys. Plasmas 18, 022108 (2011)CrossRef
28.
Boccaletti, S., Grebogi, C., Lai, Y.C., Mancini, H., Maza, D.: The control of chaos: theory and applications. Phys. Rep. 329, 103–197 (2000)MathSciNetCrossRef
29.
Garfinkel, A., Spano, M., Ditto, W., Weiss, J.: Controlling cardiac chaos. Science 257, 1230 (1992)CrossRef
30.
Garfinkel, A., Weiss, J., Ditto, W., Spano, M.: Chaos control of cardiac arrhythmias. Trends Cardiovasc. Med. 5, 76 (1995)CrossRef
31.
Singer, J., Bau, H.H.: Active control of convection. Phys. Fluids A 3, 2859 (1991)CrossRef
32.
Singer, J., Wang, Y.Z., Bau, H.H.: Controlling a chaotic system. Phys. Rev. Lett. 66, 1123 (1991)CrossRef
33.
Colet, P., Roy, R.: Digital communication with synchronized chaotic lasers. Opt. Lett. 19, 2056 (1994)CrossRef
34.
Alsing, P.M., Gavrielides, A., Kovanis, V., Roy, R., Thornburg, K.S.: Encoding and decoding messages with chaotic lasers. Phys. Rev. E 56, 6302 (1997)CrossRef
Metadata
Title
Chaotic to Periodic Phenomena of Dust-Ion-Acoustic Waves in a Collisional Dusty Plasma
Authors
Tushar Kanti Das
Prasanta Chatterjee
Copyright Year
2018
Publisher
Springer Singapore
Book
Advanced Computational and Communication Paradigms

Print ISBN: 978-981-10-8236-8

Electronic ISBN: 978-981-10-8237-5

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-8237-5_39