Charge fluctuation instability of the dust lattice wave

G. Morfill; A. V. Ivlev; J. R. Jokipii

doi:10.1103/PhysRevLett.83.971

Charge fluctuation instability of the dust lattice wave

G. Morfill, A. V. Ivlev, J. R. Jokipii

Lunar and Planetary Lab

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

Taking into account the statistical charge fluctuations on microspheres embedded in a low-pressure gas discharge, a stochastic differential equation for the one-dimensional dust lattice wave is derived. Using this equation, the nonstochastic differential equations for the mean particle displacement and for the second moments of the displacement and velocity are obtained. The analysis of the equation for the second moments shows that for sufficiently small gas pressure the charge fluctuations can result in exponential growth of the average energy of lattice oscillations.

Original language	English (US)
Pages (from-to)	971-974
Number of pages	4
Journal	Physical review letters
Volume	83
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.83.971
State	Published - Jan 1 1999

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.83.971

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abstract = "Taking into account the statistical charge fluctuations on microspheres embedded in a low-pressure gas discharge, a stochastic differential equation for the one-dimensional dust lattice wave is derived. Using this equation, the nonstochastic differential equations for the mean particle displacement and for the second moments of the displacement and velocity are obtained. The analysis of the equation for the second moments shows that for sufficiently small gas pressure the charge fluctuations can result in exponential growth of the average energy of lattice oscillations.",

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AU - Jokipii, J. R.

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N2 - Taking into account the statistical charge fluctuations on microspheres embedded in a low-pressure gas discharge, a stochastic differential equation for the one-dimensional dust lattice wave is derived. Using this equation, the nonstochastic differential equations for the mean particle displacement and for the second moments of the displacement and velocity are obtained. The analysis of the equation for the second moments shows that for sufficiently small gas pressure the charge fluctuations can result in exponential growth of the average energy of lattice oscillations.

AB - Taking into account the statistical charge fluctuations on microspheres embedded in a low-pressure gas discharge, a stochastic differential equation for the one-dimensional dust lattice wave is derived. Using this equation, the nonstochastic differential equations for the mean particle displacement and for the second moments of the displacement and velocity are obtained. The analysis of the equation for the second moments shows that for sufficiently small gas pressure the charge fluctuations can result in exponential growth of the average energy of lattice oscillations.

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Charge fluctuation instability of the dust lattice wave

Abstract

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