Skip to main content Accessibility help
×
Home

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

  • Daljeet Kaur (a1), Suresh C. Sharma (a2), R.S. Pandey (a1) and Ruby Gupta (a3)

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.

Copyright

Corresponding author

Author for correspondence: R. Gupta, Department of Physics, Swami Shraddhanand College, University of Delhi, Alipur, Delhi-110 036, India. E-mail: rubyssndu@gmail.com

References

Hide All
Barkan, A, D'angelo, N and Merlino, RL (1994) Charging of dust grains in a plasma. Physical Review Letters 73, 30933096.
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, 487504.
Chen, FF (2006) Introduction to Plasma Physics and Controlled Fusion. New York, USA: Springer.
Chow, VW and Rosenberg, M (1995) Electrostatic ion cyclotron instability in dusty plasmas. Planetary and Space Science 43, 613618.
Dahamni, MS, Fentazi, S and Annou, R (2005) Weibel instability of counter-streaming dust beams. AIP Conference Proceedings, Vol. 799. pp. 307–310.
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.
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, 012061101206114.
Fried, BD (1959) Mechanism for instability of transverse plasma waves. Physics of Fluids 2, 337337.
Furth, HP (1963) Prevalent instability of nonthermal plasmas. Physics of Fluids 6, 4857.
Ghorbanalilu, M (2006) The Weibel instability on strongly magnetized microwave produced plasma. Physics of Plasmas 13, 10211011021105.
Guskov, SY (2005) Thermonuclear gain and parameters of fast ignition ICF-targets. Laser and Particle Beams 23, 255260.
Hamasaki, S (1968) Electromagnetic microinstabilities of plasmas in a uniform magnetic induction. Physics of Fluids 11, 27242727.
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, 173176.
Ibscher, D and Schlickeiser, R (2014) Solar wind kinetic instabilities at small plasma betas. Physics of Plasmas 21, 02211010221104.
Jana, MR, Sen, A and Kaw, PK (1993) Collective effects due to charge fluctuation dynamics in a dusty plasma. Physical Review E 48, 39303933.
Ji-Wei, L and Wen-Bing, P (2005) Effect of guiding magnetic field on Weibel instability. Chinese Physics Letters 22, 19761979.
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, 168174.
Lui, ATY, Yoon, PH, Mok, C and Ryu, C-M (2008) Inverse cascade feature in current disruption. Journal of Geophysical Research 113, A00C061A00C0612.
Pokhotelov, OA and Balikhin, MA (2012) Weibel instability in a plasma with non-zero external magnetic field. Annales Geophysicae 30, 10511054.
Prakash, V and Sharma, SC (2009) Excitation of surface plasma waves by an electron beam in a magnetized dusty plasma. Physics of Plasmas 16, 093703093712.
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, 411418.
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, 161168.
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, 145005114500510.
Rubab, N, Erkaev, NV and Biernat, HK (2009) Dust kinetic Alfven and acoustic waves in a Lorentzian plasma. Physics of Plasmas 16, 10370411037046.
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, 07370110737018.
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, 18741885.
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, 444448.
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, 073706073711.
Treumann, RA and Baumjohann, W (2014) Brief communication: Weibel, firehose and mirror mode relations. Nonlinear Processes in Geophysics 21, 143148.
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, 10500211050024.
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, 4346.
Weibel, ES (1959) Spontaneously growing transverse waves in a plasma due to an anisotropic velocity distribution. Physical Review Letters 2, 8384.
Whipple, EC, Northdrop, TG and Mendis, DA (1985) The electrostatics of dusty plasma. Journal of Geophysical Research 90, 74057413.
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, 031503031506.

Keywords

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

  • Daljeet Kaur (a1), Suresh C. Sharma (a2), R.S. Pandey (a1) and Ruby Gupta (a3)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.