On the dielectric response function and dispersion relation in strongly coupled magnetized dusty plasmas

doi:10.1088/1674-1056/27/10/105206

Abstract

Using the generalized viscoelastic fluid model, we derive the dielectric response function in a strongly coupled dusty magnetoplasma which reveals two different dust acoustic (DA) wave modes in the hydrodynamic and kinetic limits. The effects of the strong interaction of dust grains and the external magnetic on these DA modes, as well as on the shear wave are examined. It is found that both the real and imaginary parts of DA waves are significantly modified in strongly coupled dusty magnetoplasmas. The implications of our results to space and laboratory dusty plasmas are briefly discussed.

Keywords: dusty plasma strongly coupled plasma magnetoplasma dielectric response function

Received: 29 October 2017
Revised: 05 June 2018
Accepted manuscript online:

PACS:	52.27.Lw	(Dusty or complex plasmas; plasma crystals)
	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
	52.25.Xz	(Magnetized plasmas)

Corresponding Authors: M Shahmansouri
E-mail: mshmansouri@gmail.com

Cite this article:

M Shahmansouri, N Khodabakhshi On the dielectric response function and dispersion relation in strongly coupled magnetized dusty plasmas 2018 Chin. Phys. B 27 105206

[1]	Ikezi H 1986 Phys. Fluids 29 1764
[2]	Chu J H and Lin I 1994 Phys. Rev. Lett. 72 4009
[3]	Thomas H, Morfill G E, Demmel V, Goree J, Feuerbacher B and Mohlmann D 1994 Phys. Rev. Lett. 73 652
[4]	Zheng X H and Earnshaw J C 1995 Phys. Rev. Lett. 75 4214
[5]	Thomas H and Morfill G E 1996 J. Vac. Sci. Technol. A 14 501
[6]	Thomas H and Morfill G E 1996 Nature 379 806
[7]	Melandso F 1996 Phys. Plasmas 3 3890
[8]	Wang X and Bhattacharjee A 1997 Phys. Plasmas 4 3759
[9]	Kaw P K and Sen A 1998 Phys. Plasmas 5 3552
[10]	Mamun A A, Shukla P K and Farid T 2000 Phys. Plasmas 7 2329
[11]	Yaroshenko V V, Nosenko V and Morfill G E 2010 Phys. Plasmas 17 103709
[12]	Shukla P K and Mamun A A 2001 IEEE Trans. Plasma Sci. 29 221
[13]	Mamun A A and Cairns R A 2009 Phys. Rev. E 79 055401
[14]	Alinejad H and Mamun A A 2011 Phys. Plasmas 18 073706
[15]	Shahmansouri M and Rezaei M 2014 Astrophys. Space Sci. 351 197
[16]	El-Labany S K, El-Taibany W F, El-Shamy E F, El-Depsy A and Zedan N A 2012 Phys. Plasmas 19 103708
[17]	El-Labany S K, El-Taibany W F, El-Shamy E F and Zedan N A 2014 Phys. Plasmas 21 123710
[18]	Shahmansouri M, Farokhi B and Khodabakhshi N 2017 Commun. Theor. Phys. 68 111
[19]	Rao N N, Shukla P K and Yu M Y 1990 Planet. Space Sci. 38 543
[20]	Barkan A, Merlino R L and D'Angelo N 1995 Phys. Plasmas 2 3563
[21]	Misra A P and Chowdhury A R 2006 Phys. Plasmas 13 062307
[22]	Misra A P and Chowdhury A R 2006 Eur. Phys. J. D 37 105
[23]	Samanta S, Misra A P and Chowdhury A R 2007 Planet. Space Sci. 55 1380
[24]	El-Labany S K, El-Shamy E F, El-Taibany W F and Moslem W M 2007 Chaos, Solitons and Fractals. 34 1393
[25]	Dorranian D and Sabetkar A 2012 Phys. Plasmas 19 013702
[26]	Farid T, Mamun A A, Shukla P K and Mirza A M 2001 Phys. Plasmas 8 1529
[27]	Abulwafa E M, Elhanbaly A M, Mahmoud A A and Al-Araby A F 2017 Phys. Plasmas 24 013704
[28]	Sabetkar A and Dorranian D 2015 Phys. Plasmas 22 083705
[29]	Piel A and Goree J 2006 Phys. Plasmas 13 104510
[30]	Shukla P K and Rahman H U 1998 Planet. Space Sci. 46 541
[31]	Merlino R L, Barkan A, Thompson C and D'Angelo N 1998 Phys. Plasmas 5 1607
[32]	Xie B S and Chen Y P 2004 Phys. Plasmas 11 3519
[33]	Kaw P K 1998 Phys. Plasmas 5 1870
[34]	Banerjee D, Mylavarapu J S and Chakrabarti N 2010 Phys. Plasmas 17 113708
[35]	Pieper J B, Goree and J 1996 Phys. Rev. Lett. 77 3137
[36]	Basko M, Kemp A and Vehn J M 2000 Nucl. Fusion 40 59
[37]	Deutsch C and Popoff R 2009 Nucl. Instrum. Methods Phys. Res. Sect. A 606 212
[38]	Peng F, Brown E F and Truran J W 2007 Astrophys. J. 654 1022
[39]	Gozadinos G, Ivlev A V and Boeuf J P 2003 New J. Phys. 5 32
[40]	Shahmansouri M and Mamun A A 2015 Phys. Plasmas 22 073709
[41]	Melzer A and Puttscher M 2017 Phys. Plasmas 24 053701
[42]	Rosenberg M and Kalman G 1997 Phys. Rev. E 56 7166
[43]	Kählert H, Ott T, Reynolds A, Kalman G J and Bonitz M 2013 Phys. Plasmas 20 057301
[44]	Golden K I, Kalman G and Wyns P 1992 Phys. Rev. A 46 3454
[45]	Murillo M S 1998 Phys. Plasmas 5 3116
[46]	Nambu M and Nitta H 2002 Phys. Lett. A 300 82
[47]	Thomas H, Morfill G E and Tsytovich V N 2003 Plasma Phys. Rep. 29 895
[48]	Popel S I, Andreev S N, Gisko A A, Golub A P and Losseva T V 2004 Plasma Phys. Rep. 30 284
[49]	Ichimaru S, Iyetomi H and Tanaka S 1987 Phys. Rep. 149 91
[50]	Slattery W L, Doolen G D and DeWitt H E 1980 Phys. Rev. A 21 2087
[51]	Slattery W L, Doolen G D and DeWitt H E 1982 Phys. Rev. A 26 2255
[52]	Abe R 1959 Prog. Theor. Phys. 21 475
[53]	Konopka U, Samsonov D, Ivlev A V, Goree J, Steinberg V and Morfill G E 2000 Phys. Rev. E 61 1890
[54]	Bandyopadhyay P, Prasad G, Sen A and Kaw P 2007 Phys. Lett. A 368 491
[55]	Tsytovich V, Sato N and Morfill G E 2003 New J. Phys. 5 43
[56]	Ferrario L, de Martino D and Gänsicke B T 2015 Space Sci. Rev. 191 111
[57]	Tremblay P E, Fontaine G, Freytag B, Steiner O, Ludwig H G, Steffen M, Wedemeyer S and Brassard P 2015 Astrophys. J. 812 19

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On the dielectric response function and dispersion relation in strongly coupled magnetized dusty plasmas

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