2006
DOI: 10.1063/1.2201538
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Charging properties of a dust grain in collisional plasmas

Abstract: Charging related properties of a small spherical grain immersed in a collisional plasma are investigated. Asymptotic expressions for charging fluxes, grain surface potential, long range electrostatic potential, and the properties of grain charge fluctuations due to the discrete nature of the charging process are obtained. These analytical results are in reasonable agreement with the available results of numerical modeling.

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Cited by 79 publications
(59 citation statements)
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“…21 For further analysis, it is convenient to introduce the following normalized units: the dimensionless grain charge z = ͉Q ͉ e / aT e , the electron-to-ion temperature ratio = T e / T i , the thermal Mach number for drifting ions M T = u / v T i , normalized ion mean-free path = ᐉ i / D , and the so-called scattering parameter 35,36 ␤ = z͑a / D ͒. Furthermore, let us use a well-known asymptotic expression for the ion flux on a infinitesimally small grain ͑a D ͒ in the continuum limit ͑ᐉ i a͒, which can be written as 17,20,37 …”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…21 For further analysis, it is convenient to introduce the following normalized units: the dimensionless grain charge z = ͉Q ͉ e / aT e , the electron-to-ion temperature ratio = T e / T i , the thermal Mach number for drifting ions M T = u / v T i , normalized ion mean-free path = ᐉ i / D , and the so-called scattering parameter 35,36 ␤ = z͑a / D ͒. Furthermore, let us use a well-known asymptotic expression for the ion flux on a infinitesimally small grain ͑a D ͒ in the continuum limit ͑ᐉ i a͒, which can be written as 17,20,37 …”
Section: Resultsmentioning
confidence: 99%
“…In isotropic collisional plasmas, the elctrostatic potential around an absorbing body in the absence of ionization/recombination processes in its vicinity has an even more slowly decaying ϰr −1 long-range asymptote. [17][18][19][20][21] However, complex plasmas are very often subject to self-consistent large-scale electric fields that induce plasma fluxes relative to the ͑often stationary͒ grain component. These flows, in addition to a direct dragging influence, are also responsible for the generation of collective plasma processes such as wake formation downstream from the grains, which strongly modify the electrostatic interaction compared to the isotropic case.…”
Section: Introductionmentioning
confidence: 99%
“…This is borne out by new theoretical analyses of the charging mechanism of the dust particles -in particular the role of ion flows in these systems. Recent theoretical works by Lampe and co-workers, [113], [114], [115] Khrapak and co-workers, [104], [116], [117] and Hutchinson and co-workers, [118], [119], [120] have been part of a concentrated effort to provide new insights that will drive the next generation of experimental studies.…”
Section: Microparticle Chargingmentioning
confidence: 97%
“…To our knowledge little specific work on the KE regime is available, and the reader is referred to Ref. [19] for some preliminary considerations.…”
Section: Previous Approaches To the "Dust" Problemmentioning
confidence: 99%