New low-frequency waves and negative mass instability in dusty plasmas

D. P. Resendes, R. Bingham, S. Mota, V. N. Tsytovich

Research output: Contribution to journalArticle

Abstract

Low-frequency dusty plasma waves with frequencies much smaller than the frequency of charging collisions of plasma particles with dust particles are considered taking into account elastic and charging collisions of plasma particles with dust and neutrals. The usual dust sound waves with an upper frequency equal to the dust plasma frequency are found to be present only for wavelengths much smaller than the plasma particle effective mean free path due to the effective collision frequency. The effectice collision frequency is found to be inversely proportional to the square root of the product of the charging frequency and the frequency of particle momentum losses, involving processes due to elastic plasma particle-dust collisions and collisions with neutrals. It is shown that when the wavelength of the wave is much larger than the mean free path for effective collisions, the properties of the waves are different from those considered previously. A negative mass instability is found in this domain of frequencies when the effective mean free path of ions is larger than the effective mean free path of electrons. In the absence of neutrals, this appears to be possible only if the temperature of ions exceeds the electron temperature. This can occur in laboratory experiments and space plasmas but not in plasma-etching experiments. In the absence of instability, a new dust oscillation, a dust charging mode, is found, whose frequency is almost constant over a certain range of wave numbers. It is inversely proportional to the dust mass and charging frequency of the dust. A new dust electron sound wave is found for frequencies less than the frequency of the dust charging mode. The velocity of the dust electron sound wave is determined by the electron temperature but not the ion temperature, as for the usual dust sound waves, with the electron temperature substantially exceeding the ion temperature.

LanguageEnglish
Pages929-937
Number of pages9
JournalJournal of Plasma Physics
Volume76
Issue number6
Early online date18 Aug 2010
DOIs
Publication statusPublished - Dec 2010

Fingerprint

dusty plasmas
dust
low frequencies
charging
collisions
sound waves
mean free path
electron energy
ion temperature
space plasmas
electrons
plasma etching
plasma frequencies
plasma waves
wavelengths
ions
elastic scattering

Keywords

  • charging collision
  • collision frequency
  • dust oscillations
  • dust particle
  • dust plasmas
  • dusty plasmas
  • ion temperature
  • laboratory experiments
  • low frequency
  • low-frequency waves
  • mean free path
  • particle momentum
  • plasma particles
  • sound waves
  • space plasmas
  • square roots
  • wave numbers

Cite this

Resendes, D. P. ; Bingham, R. ; Mota, S. ; Tsytovich, V. N. / New low-frequency waves and negative mass instability in dusty plasmas. In: Journal of Plasma Physics. 2010 ; Vol. 76, No. 6. pp. 929-937.
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New low-frequency waves and negative mass instability in dusty plasmas. / Resendes, D. P.; Bingham, R.; Mota, S.; Tsytovich, V. N.

In: Journal of Plasma Physics, Vol. 76, No. 6, 12.2010, p. 929-937.

Research output: Contribution to journalArticle

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T1 - New low-frequency waves and negative mass instability in dusty plasmas

AU - Resendes, D. P.

AU - Bingham, R.

AU - Mota, S.

AU - Tsytovich, V. N.

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AB - Low-frequency dusty plasma waves with frequencies much smaller than the frequency of charging collisions of plasma particles with dust particles are considered taking into account elastic and charging collisions of plasma particles with dust and neutrals. The usual dust sound waves with an upper frequency equal to the dust plasma frequency are found to be present only for wavelengths much smaller than the plasma particle effective mean free path due to the effective collision frequency. The effectice collision frequency is found to be inversely proportional to the square root of the product of the charging frequency and the frequency of particle momentum losses, involving processes due to elastic plasma particle-dust collisions and collisions with neutrals. It is shown that when the wavelength of the wave is much larger than the mean free path for effective collisions, the properties of the waves are different from those considered previously. A negative mass instability is found in this domain of frequencies when the effective mean free path of ions is larger than the effective mean free path of electrons. In the absence of neutrals, this appears to be possible only if the temperature of ions exceeds the electron temperature. This can occur in laboratory experiments and space plasmas but not in plasma-etching experiments. In the absence of instability, a new dust oscillation, a dust charging mode, is found, whose frequency is almost constant over a certain range of wave numbers. It is inversely proportional to the dust mass and charging frequency of the dust. A new dust electron sound wave is found for frequencies less than the frequency of the dust charging mode. The velocity of the dust electron sound wave is determined by the electron temperature but not the ion temperature, as for the usual dust sound waves, with the electron temperature substantially exceeding the ion temperature.

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KW - mean free path

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KW - plasma particles

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KW - space plasmas

KW - square roots

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