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

Published online by Cambridge University Press:  18 August 2010

D. P. RESENDES
Affiliation:
Instituto de Plasmas e Fusão Nuclear/Instituto Superior Técnico (IPFN/IST), Lisbon, Portugal (resendes@ist.utl.pt)
R. BINGHAM
Affiliation:
Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 OQX, U.K.
S. MOTA
Affiliation:
Instituto de Plasmas e Fusão Nuclear/Instituto Superior Técnico (IPFN/IST), Lisbon, Portugal (resendes@ist.utl.pt)
V. N. TSYTOVICH
Affiliation:
General Physics Institute, Russian Academy of Sciences, Moscow 117942, Russia
Corresponding
E-mail address:

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.

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Copyright
Copyright © Cambridge University Press 2010

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References

Havnes, O. and Tsytovich, V. N. 1993 Comments Plasma Phys. Control. Fusion 15, 267.Google Scholar
Khodataev, Y., Tsytovich, V. N. and Bingham, R. 1996 Comments Plasma Phys. Control. Fusion 17, 249.Google Scholar
Tsytovich, V. N. 1994 Comments Plasma Phys. Control. Fusion 15, 349.Google Scholar
Bernstein, I. B. and Rabinovich, I. N. 1959 Phys. Fluids 2, 112.CrossRefGoogle Scholar
Tsytovich, V. N., Bingham, R., Resendes, D. P. and Khodataev, Y. K. 1996 Comments Plasma Phys. Control. Fusion 17, 287.Google Scholar
Ginzburg, V. L. 1970 The Propagation of Electromagnetic Waves in Plasmas, 2nd edn.Oxford, New York: Pergamon Press.Google Scholar

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