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EN
In this work, we have examined the dynamics of dust particles in the electronegative plasma sheath. For this, we have developed a 1D stationary and unmagnetized model. The electrons and the negative ions are considered in thermodynamic equilibrium, while the positive ions and the impurities (dust grains) are described by fluid equations model. The impurities are considered to have spherical forms; moreover their size distribution is given by Gaussian distribution. Several forces acting on the dust particles are taken into account. The numerical results show that the contribution of the neutral drag force is negligible compared to others forces. In addition, the electrostatic force acting on the nm particles is dominant. Also, we found that the suspension of dust grains in electrostatic sheath is only for a small dust radius interval for which the electrostatic force is balanced by the gravity and the ion drag forces.
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EN
In this work we have established a one dimensional, stationary and non-magnetized theoretical model that describes the electrostatic sheath formation [M. Moisan, J. Pelletier, Physique des Plasmas Collisionnels, Application aux Décharges Haute Fréquence, EDP Sciences, 2006]. The sheath thickness is assessed. For this, we have assumed that all species are described by fluid equations. Dust grains are considered spherical particles with constant radii. Their charge is modeled by the orbit motion limited model [P.K. Shukla, A.A. Mamun, Introduction to Dusty Plasma Physics, Institute of Physics, Bristol 2001; A. Bouchoule, Dusty Plasmas, Physics, Chemistry and Technological Impacts in Plasma Processing, Wiley, Chichester 1999]. The solution of the obtained set of differential equations is found using the shooting method. The numerical results show that the sheath thickness depends considerably on the solid surface potential, as well as physical parameters, such as particle densities and temperatures, gas pressure, etc. The calculated electrostatic sheath thickness is greater than the thickness predicted by Child-Langmuir law [M.A. Lieberman, A.J. Lichtenberg, Principles of Plasma Discharges and Materials Processing, Wiley, New York 1994].
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