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

Authors

  • D. Kaur Amity Institute of Applied Sciences, Amity University, Sector 125, Noida 201313, Uttar Pradesh
  • Suresh C. Sharma Department of Applied Physics, Delhi Technological University, Bawana Road, Delhi 110042
  • R. S. Pandey Amity Institute of Applied Sciences, Amity University, Sector 125, Noida 201313, Uttar Pradesh

DOI:

https://doi.org/10.26713/jamcnp.v5i2.922

Keywords:

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

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.

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Published

2018-08-30
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How to Cite

Kaur, D., Sharma, S. C., & Pandey, R. S. (2018). Excitation of a Gould-Trivelpiece (TG) Mode by Relativistic Electron Beam (REB) in Magnetized Dusty Plasma. Journal of Atomic, Molecular, Condensed Matter and Nano Physics, 5(2), 81–96. https://doi.org/10.26713/jamcnp.v5i2.922

Issue

Vol. 5 No. 2 (2018)

Section

Research Article

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