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15DUSTY PLASMA VISCOSITY
Kirova E.M.,*1,2 Norman G.E.,2,1 Timofeev A. V.2,1
1 Moscow Inst. of Physics and Technology, Dolgoprudny, Russia Joint Institute for High Temperatures RAS, Moscow, Russia
Dusty plasma consists of an ionized gas and dust particles. The dust particles size varies from tens of nanometers to hundreds of microns. The interaction of dust particles with plasma results in the charging of dust particles. Therefore, dust particles behave as part of plasma.
In this paper, the trajectories of each particle are obtained using the Norman-Timofeev equation [1]. The equation of dusty particles motion takes into account the following effects: the features of gas discharge near-electrode layer, dust particle charge fluctuations, the dependence of the dust particle charge on distance from electrode, and distance from other dust particles.
The simulation is carried out for the three-dimensional homogeneous system that consists of 4, 11 particles. Periodic boundary conditions are used.
The dependence of the shear viscosity on the amplitude of dust particle charge fluctuation is studied using different coefficients of the frictional force. The shear viscosity coefficient is calculated using the Einstein-Helfand equation [2]. The coefficient of the frictional force is considered as the parameter that describes different types of energy exchange. The obtained results are compared with the experimental data. The necessity of taking into account the dust particle charge fluctuation in the dusty plasma model is shown.
The dependence of the shear viscosity coefficient on the number of particles is considered. The number of particles is found, in which case the effect does not depend on the number of dust particles.
The work is supported by Russian Science Foundation (14-19-01295).
1. Norman G E, Stegailov V V and Timofeev A V 2011 JETP 113 887
2. Helfand E 1960 Phys. Rev. 119 1
