1995
DOI: 10.1063/1.359451
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Particle charging in low-pressure plasmas

Abstract: Particles embedded in a plasma acquire a net charge as a result of collisions with electrons and ions. Due to the stochastic nature of encounters between particle and charged species, the instantaneous charge fluctuates. The static properties of the charge fluctuations are quantified for particles surrounded by an undisturbed plasma in orbital motion limit. For particles that satisfy the condition e2/4πε0RkTe≪1 the charge distribution is a Gaussian function whose average and variance is related to the ion and … Show more

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Cited by 206 publications
(179 citation statements)
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“…Assuming that the number of charges on a dust grain has a Poisson distribution, to a reasonable approximation, with Q 0 representing the average value, we will have the standard deviation of the charges to be ∼ √ Q 0 . This implies that the relative magnitude of charge fluctuations is ∼1/ √ Q 0 , which is a small quantity (Matsoukas and Russell, 1995). We can usually ignore the statistical variations in the number of elementary charges on dust grains when their scale sizes are larger than the Debye length.…”
Section: Figmentioning
confidence: 99%
“…Assuming that the number of charges on a dust grain has a Poisson distribution, to a reasonable approximation, with Q 0 representing the average value, we will have the standard deviation of the charges to be ∼ √ Q 0 . This implies that the relative magnitude of charge fluctuations is ∼1/ √ Q 0 , which is a small quantity (Matsoukas and Russell, 1995). We can usually ignore the statistical variations in the number of elementary charges on dust grains when their scale sizes are larger than the Debye length.…”
Section: Figmentioning
confidence: 99%
“…It is possible to use a charge of the microparticles that depends on the position -however, in the simulations presented in this paper, all microparticles carry the same charge. Typically, we estimate the average microparticle charge q with Matsoukas and Russel [84]'s approximation…”
Section: Molecular Dynamics Model Of the Microparticlesmentioning
confidence: 99%
“…CNPs of few nm have a charge close to unity. This enables stochastic charge fluctuations to briefly produce neutral or even positively charged CNPs [73], leading to higher collision rates. When the CNP density reaches a critical value [24], a rapid agglomeration phase is therefore initiated enhanced by long-range Coulomb interactions which leads to relative big particles and a decrease of their density.…”
Section: Discussionmentioning
confidence: 99%