Instability of short wavelength electrostatic electron-cyclotron modes in the presence of an ion density ripple in plasmas

P.K. Shukla

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is shown that short wavelength (in comparison with the ion thermal gyroradius), high-frequency (HF) electrostatic electron-cyclotron (EEC) modes can be excited by the pre-existing ion density ripple across the external magnetic field in a dusty magnetoplasma. For this purpose, we use the Boltzmann distributed ion density perturbation, together with the electron continuity and momentum equations, and derive the standard Mathieu equation. The latter admits unstable solutions, demonstrating that the short wavelength HF-EEC-like modes in dusty magnetoplasmas can be driven due to the free energy in the ion density ripple.
LanguageEnglish
Pages038201
JournalPhysica Scripta
Volume80
Issue number3
DOIs
Publication statusPublished - Sep 2009

Fingerprint

Ripple
ripples
Electrostatics
cyclotrons
Plasma
Electron
Wavelength
electrostatics
wavelengths
Mathieu Equation
Mathieu function
electrons
continuity equation
Ludwig Boltzmann
External Field
Free Energy
Momentum
Unstable
Magnetic Field
free energy

Keywords

  • intense bursts
  • harmonic-waves
  • geotail

Cite this

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Instability of short wavelength electrostatic electron-cyclotron modes in the presence of an ion density ripple in plasmas. / Shukla, P.K.

In: Physica Scripta, Vol. 80, No. 3, 09.2009, p. 038201.

Research output: Contribution to journalArticle

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AB - It is shown that short wavelength (in comparison with the ion thermal gyroradius), high-frequency (HF) electrostatic electron-cyclotron (EEC) modes can be excited by the pre-existing ion density ripple across the external magnetic field in a dusty magnetoplasma. For this purpose, we use the Boltzmann distributed ion density perturbation, together with the electron continuity and momentum equations, and derive the standard Mathieu equation. The latter admits unstable solutions, demonstrating that the short wavelength HF-EEC-like modes in dusty magnetoplasmas can be driven due to the free energy in the ion density ripple.

KW - intense bursts

KW - harmonic-waves

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