Excitation of a Gould-Trivelpiece (TG) Mode by Relativistic Electron Beam (REB) in Magnetized Dusty Plasma

D. Kaur, Suresh C. Sharma, R. S. Pandey

Abstract


Gould-Trivelpiece (TG) mode is excited by a relativistic electron beam (REB) via  Cerenkov interaction in a magnetized dusty plasma and dusty plasma cylinder. The unstable wave's frequency increases with relative density of negatively charged dust grains \(\delta\) \((=n_{i0}/n_{e0})\), where \(n_{i0}\) is the equilibrium ion density, \(n_{e0}\) is the equilibrium electron density, respectively) in both infinite and finite geometry. The growth rate of the unstable mode increases with beam density and scales as one third power of beam density in both the cases. In addition, the growth rate of the unstable mode decreases with relativistic gamma factor. Moreover, comparison between the infinite and finite geometry indicates that the unstable mode's growth rate is more in case of infinite geometry than that of the finite geometry. Our theoretical results are in line  with some of the experimental observations and theoretical findings of previous investigations.


Keywords


Relativistic electron beam; Dust grains; Growth rate; Finite geometry; Infinite geometry

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References


A.W. Trivelpiece and R.W. Gould, Space charge waves in cylindrical plasma columns, Jour. Appl. Phys. 30 (1959), 1784.

J.H. Malmberg and C.B. Wharton, Dispersion of electron plasma waves, Phys. Rev. Lett. 17 (1966), 175.

W.M. Mannheimer, Nonlinear development of an electron plasma wave in a cylindrical waveguide, Phys. Fluids 12 (1969), 2426.

J.P. Lynov, P. Michelsen, H.L. Pecseli, J. Juul Rasmussen, K. Saeki and V.A. Turikov, Observations of solitary structures in a magnetized, plasma loaded waveguide, Phys. Scr. 20 (1979), 328.

H. Schamel, Theory of electron holes, Phys. Scr. 20 (1979), 336.

R.L. Stenzel and J.M. Urrutia, Trivelpiece-Gould modes in a uniform unbounded plasma, Phys. Plasmas 23 (2016), 092103.

G. Praburam and A.K. Sharma, Second-harmonic excitation of a Gould-Trivelpiece mode in a beam-plasma system, J. Plasma Phys. 48 (1992), 3.

S. Seiler, M. Yamada and H. Ikezi, Lower hybrid instability driven by a spiraling ion beam, Phys. Rev. Lett. 37 (1976), 700.

R.P.H. Chang, Lower-hybrid beam-plasma instability, Phys. Rev. Lett. 35 (1975), 28.

S.C. Sharma, M.P. Srivastava, M. Sugawa and V.K. Tripathi, Excitation of lower hybrid waves by a density-modulated electron beam in a plasma cylinder, Phys. Plasmas 5 (1998), 3161.

V. Prakash, R. Gupta, S.C. Sharma and Vijayshri, Excitation of lower hybrid waves by an ion beam in a magnetized plasma, Laser and Particle Beams 31 (2013), 747.

J.B. Pieper and J. Goree, Dispersion of plasma dust acoustic waves in the strong coupling regime, Phys. Rev. Lett. 77 (1996), 3137.

C. Thompson, A. Barkan, N. DAngelo and R.L. Merlino, Dust acoustic waves in a direct current glow discharge, Phys. Plasmas 4 (1997), 2331.

S.C. Sharma, K. Sharma and R. Walia, Ion beam driven ion-acoustic waves in a plasma cylinder with negatively charged dust grains, Phys. Plasmas 19 (2012), 073706.

S.C. Sharma, D. Kaur, A. Gahlot and J. Sharma, Excitation of dust acoustic waves by an ion beam in a plasma cylinder with negatively charged dust grains, Phys. Plasmas 21 (2014), 103702.

A. Barkan, N. D’Angelo and R.L. Merlino, Experiments on ion-acoustic waves in dusty plasmas, Planet. Space Sci. 44 (1996), 239.

M. Rosenberg, Ion-and dust-acoustic instabilities in dusty plasma, Planet. Space Sci. 41 (1993), 229.

C.S. Liu and V.K. Tripathi, Introduction of Electromagnetic Waves With Electron Beams and Plasmas, World Scientific, Singapore (1994).

E.C. Whipple, T.G. Northdrop and D.A. Mendis, The electrostatics of dusty plasma, J. Geophys. Res. 90 (1985), 7405.

M.R. Jana, A. Sen and P.K. Kaw, Collective effects due to charge fluctuation dynamics in a dusty plasma, Phys. Rev. E 48 (1993), 3930.

V. Prakash and S.C. Sharma, Excitation of surface plasma waves by an electron beam in a magnetized dusty plasma, Phys. Plasmas 16 (2009), 093703.

V.K. Jain and P. Khristiansen, Excitation of electron cyclotron harmonic instabilities in a thin beam-plasma system, J. Plasma Phys. and Contr. Fusion 26 (1984), 613.

V.K. Jain and P. Khristiansen, Recurrence of electron cyclotron harmonic wave instability in a beam-plasma system, J. Plasma Phys. and Contr. Fusion 25 (1983), 1169.

A.B. Mikhailovski, Theory of Plasma Instabilities, Vol. 1, Instabilities of a Homogeneous Plasma, New York Consultant Burea (1974).

A. Barkan, N.D’Angelo and R.L. Merlino, Laboratory experiments on electrostatic ion cyclotron waves in a dusty plasma, Planet. Space Sci. 43 (1995), 905.

V.W. Chow and M. Rosenberg, Electrostatic ion cyclotron instability in dusty plasmas, Planet. Space Sci. 43 (1995), 613.

M. Tribeche and T.H. Zerguini, Current-driven dust ion-acoustic instability in a collisional dusty plasma with charge fluctuations, Phys. Plasmas 41 (2001), 394.

K. Ostrikov, U. Cvelbar and A.B. Murphy, Plasma nanoscience: setting directions, tackling grand challenge, J. Phys. Appl. D: Phys. 44 (2011), 174001.

P.A. Bernhardt, G. Ganguli, M.C. Kelley and W.E. Swartz, Enhanced radar backscatter from space shuttle exhaust in the ionosphere, J. Geopys. Res. 100 (1995), 23811.




DOI: http://dx.doi.org/10.26713%2Fjamcnp.v5i2.922

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