Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T12:17:35.893Z Has data issue: false hasContentIssue false
  • English
  • Français

Weibel instability oscillation in a dusty plasma with counter-streaming electrons

Published online by Cambridge University Press:  17 January 2020

Daljeet Kaur ,
Suresh C. Sharma ,
R.S. Pandey  and
Ruby Gupta Open the ORCID record for Ruby Gupta [Opens in a new window]
Daljeet Kaur
Affiliation:
Amity Institute of Applied Sciences, Amity University, Sector-125, Noida, Uttar Pradesh201313, India
Suresh C. Sharma
Affiliation:
Department of Applied Physics, Delhi Technological University, Delhi110042, India
R.S. Pandey
Affiliation:
Amity Institute of Applied Sciences, Amity University, Sector-125, Noida, Uttar Pradesh201313, India
Ruby Gupta*
Affiliation:
Department of Physics, Swami Shraddhanand College, University of Delhi, Alipur, Delhi110 036, India
*
Author for correspondence: R. Gupta, Department of Physics, Swami Shraddhanand College, University of Delhi, Alipur, Delhi-110 036, India. E-mail: rubyssndu@gmail.com
Get access Rights & Permissions [Opens in a new window]

Abstract

We investigate the Weibel instability (WI) in a dusty plasma which is driven to oscillation by the addition of dust grains in the plasma. Our analysis predicts the existence of three modes in a dusty plasma. There is a high-frequency electromagnetic mode, whose frequency increases with an increase in the relative number density of dust grains and which approaches instability due to the presence of dust grains. The second mode is a damping mode which exists due to dust charge fluctuations in plasma. The third mode is the oscillating WI mode. The dispersion relation and the growth rate of various modes in the dusty plasma are derived using the first-order perturbation theory. The effect of dust grain parameters on frequency and growth rate is also studied and reported.

Keywords

Dusty plasmaelectromagneticinstabilityoscillationstreaming
Type
Research Article
Information
Laser and Particle Beams , Volume 38 , Issue 1 , March 2020 , pp. 8 - 13
Copyright
Copyright © The Author(s) 2020. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barkan, A, D'angelo, N and Merlino, RL (1994) Charging of dust grains in a plasma. Physical Review Letters 73, 3093–3096.CrossRefGoogle ScholarPubMed
Bashir, MF and Murtaza, G (2012) Effect of temperature anisotropy on various modes and instabilities for a magnetized non-relativistic bi-Maxwellian plasma. Brazilian Journal of Physics 42, 487–504.CrossRefGoogle Scholar
Chen, FF (2006) Introduction to Plasma Physics and Controlled Fusion. New York, USA: Springer.Google Scholar
Chow, VW and Rosenberg, M (1995) Electrostatic ion cyclotron instability in dusty plasmas. Planetary and Space Science 43, 613–618.CrossRefGoogle Scholar
Dahamni, MS, Fentazi, S and Annou, R (2005) Weibel instability of counter-streaming dust beams. AIP Conference Proceedings, Vol. 799. pp. 307–310.CrossRefGoogle Scholar
Davidson, RC (1983). Kinetic waves and instabilities in a uniform plasma. In Rosenbluth, MN and Sagdeev, RZ (eds), Handbook of Plasma Physics. Amsterdam, North Holland: Elsevier, p. 519.Google Scholar
Dong, QL, Yuan, D, Gao, L, Liu, X, Chen, Y, Jia, Q, Hua, N, Qiao, Z, Chen, M, Zhu, B, Zhu, J, Zhao, G, Ji, H, Sheng, Z-M and Zhang, J (2016) Filamentation due to the Weibel instability in two counterstreaming laser ablated plasmas. Journal of Physics: Conference Series 717, 0120611–01206114.Google Scholar
Fried, BD (1959) Mechanism for instability of transverse plasma waves. Physics of Fluids 2, 337–337.CrossRefGoogle Scholar
Furth, HP (1963) Prevalent instability of nonthermal plasmas. Physics of Fluids 6, 48–57.CrossRefGoogle Scholar
Ghorbanalilu, M (2006) The Weibel instability on strongly magnetized microwave produced plasma. Physics of Plasmas 13, 1021101–1021105.CrossRefGoogle Scholar
Guskov, SY (2005) Thermonuclear gain and parameters of fast ignition ICF-targets. Laser and Particle Beams 23, 255–260.CrossRefGoogle Scholar
Hamasaki, S (1968) Electromagnetic microinstabilities of plasmas in a uniform magnetic induction. Physics of Fluids 11, 2724–2727.CrossRefGoogle Scholar
Huntington, CM, Fiuza, F, Ross, JS, Zylstra, AB, Drake, RP, Froula, DH, Gregori, G, Kugland, NL, Kuranz, CC, Levy, MC, Li, CK, Meinecke, J, Morita, T, Petrasso, R, Plechaty, C, Remington, BA, Ryutov, DD, Sakawa, Y, Spitkovsky, A, Takabe, H and Park, H-S (2015) Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows. Nature Physics 11, 173–176.CrossRefGoogle Scholar
Ibscher, D and Schlickeiser, R (2014) Solar wind kinetic instabilities at small plasma betas. Physics of Plasmas 21, 0221101–0221104.CrossRefGoogle Scholar
Jana, MR, Sen, A and Kaw, PK (1993) Collective effects due to charge fluctuation dynamics in a dusty plasma. Physical Review E 48, 3930–3933.CrossRefGoogle Scholar
Ji-Wei, L and Wen-Bing, P (2005) Effect of guiding magnetic field on Weibel instability. Chinese Physics Letters 22, 1976–1979.CrossRefGoogle Scholar
Lazar, M, Schlickeiser, R, Poedts, S and Tautz, RC (2008) Counterstreaming magnetized plasmas with kappa distributions—I. Parallel wave propagation. Monthly Notices of the Royal Astronomical Society 390, 168–174.CrossRefGoogle Scholar
Lui, ATY, Yoon, PH, Mok, C and Ryu, C-M (2008) Inverse cascade feature in current disruption. Journal of Geophysical Research 113, A00C061–A00C0612.CrossRefGoogle Scholar
Pokhotelov, OA and Balikhin, MA (2012) Weibel instability in a plasma with non-zero external magnetic field. Annales Geophysicae 30, 1051–1054.CrossRefGoogle Scholar
Prakash, V and Sharma, SC (2009) Excitation of surface plasma waves by an electron beam in a magnetized dusty plasma. Physics of Plasmas 16, 093703–093712.CrossRefGoogle Scholar
Prakash, V, Sharma, SC, Vijayshri, V and Gupta, R (2013) Surface wave excitation by a density modulated electron beam in a magnetized dusty plasma cylinder. Laser and Particle Beams, 31, 411–418.Google Scholar
Prakash, V, Sharma, SC, Vijayshri, V and Gupta, R (2014) Effect of dust grain parameters on ion beam driven ion cyclotron waves in a magnetized plasma. Progress in Electromagnetics Research M 36, 161–168.CrossRefGoogle Scholar
Ross, JS, Park, HS, Berger, R, Divol, L, Kugland, NL, Rozmus, W, Ryutov, D and Glenzer, SH (2013) Collisionless coupling of ion and electron temperatures in counterstreaming plasma flows. Physical Review Letters 110, 1450051–14500510.CrossRefGoogle ScholarPubMed
Rubab, N, Erkaev, NV and Biernat, HK (2009) Dust kinetic Alfven and acoustic waves in a Lorentzian plasma. Physics of Plasmas 16, 1037041–1037046.CrossRefGoogle Scholar
Rubab, N, Erkaev, NV, Biernat, HK and Langmayr, D (2011) Kinetic Alfven wave instability in a Lorentzian dusty plasma: non-resonant particle approach. Physics of Plasmas 18, 0737011–0737018.CrossRefGoogle Scholar
Rubab, N, Chian, AC-L and Jatenco-Pereira, V (2016) On the ordinary mode Weibel instability in space plasmas: a comparison of three-particle distributions. Journal of Geophysical Research: Space Physics 121, 1874–1885.Google Scholar
Sharma, SC and Sugawa, M (1999) The effect of dust charge fluctuations on ion cyclotron wave instability in the presence of an ion beam in a plasma cylinder. Physics of Plasmas 7, 444–448.CrossRefGoogle Scholar
Sharma, SC, Sharma, K and Walia, R (2012) Ion beam driven ion-acoustic waves in a plasma cylinder with negatively charged dust grains. Physics of Plasmas 19, 073706–073711.CrossRefGoogle Scholar
Treumann, RA and Baumjohann, W (2014) Brief communication: Weibel, firehose and mirror mode relations. Nonlinear Processes in Geophysics 21, 143–148.CrossRefGoogle Scholar
Tzoufras, M, Ren, C, Tsung, FS, Tonge, JW, Mori, WB, Fiore, M, Fonseca, RA and Silva, LO (2006) Space-charge effects in the current-filamentation or Weibel instability. Physical Review Letters 96, 1050021–1050024.CrossRefGoogle ScholarPubMed
Velarde, P, Ogando, F, Eliezer, S, Martinez-Val, JM, Perlado, JM and Murakami, M (2005) Comparison between jet collision and shell impact concepts for fast ignition. Laser and Particle Beams 23, 43–46.CrossRefGoogle Scholar
Weibel, ES (1959) Spontaneously growing transverse waves in a plasma due to an anisotropic velocity distribution. Physical Review Letters 2, 83–84.CrossRefGoogle Scholar
Whipple, EC, Northdrop, TG and Mendis, DA (1985) The electrostatics of dusty plasma. Journal of Geophysical Research 90, 7405–7413.CrossRefGoogle Scholar
Zhou, CT and He, XT (2007) Influence of a large oblique incident angle on energetic protons accelerated from solid-density plasmas by ultraintense laser pulses. Applied Physics Letters 90, 031503–031506.CrossRefGoogle Scholar