The nonlinear dynamic plasma screening effects on the elastic electron-dust grain collision are investigated in dusty plasmas. The results show that the nonlinear dynamic screening effect significantly increases the magnitude of the eikonal phase shift. It is also found that the magnitude of the phase shift decreases with an increase of the thermal energy. In addition, it is found that the differential eikonal cross section shows the oscillatory behavior, and the oscillating peaks approach to the collision center with increasing thermal energy. It is also found that the total eikonal cross section decreases with an increase of the thermal energy.
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