In addition to RF oscillations, intrinsic stochastic fluctuations due to the discreteness of electrons and ions could be important to the charging of a dust particle in RF discharges. These fluctuations are studied in the present work for three cases [M. Bacharis et al., Plasma Sources Sci. Technol. 19, 025002 (2010)] relevant to RF discharges employing a recently proposed model [B. Shotorban, Phys. Rev. E 83, 066403 (2011)] valid for stochastic charging at nonstationary states. The cases are concerned with a time varying electron number density relevant to sheaths, a time varying electric field relevant to the bulk plasma, and a time-dependent bi-Maxwellian distribution of electrons in a low pressure discharge. Two dust particles with different sizes are individually studied in each case. The radius of one is ten times larger than the radius of the other. In all of the cases, for the larger dust particle, the root-mean-squre of charge stochastic fluctuations is about an order of magnitude smaller than the amplitude of RF charge oscillations, while for the smaller dust particle, they are comparable in magnitude.
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May 2012
Research Article|
May 17 2012
Stochastic fluctuations of dust particle charge in RF discharges
B. Shotorban
B. Shotorban
a)
Department of Mechanical and Aerospace Engineering,
The University of Alabama in Huntsville
, Huntsville, Alabama 35899, USA
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a)
Electronic mail: [email protected].
Phys. Plasmas 19, 053702 (2012)
Article history
Received:
January 18 2012
Accepted:
April 19 2012
Citation
B. Shotorban; Stochastic fluctuations of dust particle charge in RF discharges. Phys. Plasmas 1 May 2012; 19 (5): 053702. https://doi.org/10.1063/1.4717722
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