The dust charging effect on electrostatic ion waves in a dusty plasma with trapped electrons

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Abstract
The effect of the dust charging and the influence of the ion density and temperature on electrostatic nonlinear ion waves in a dusty plasma having trapped electrons are investigated by numerical calculation. The nonlinear structure of the dust charging is examined, and it is shown that the characteristics of the dust charge number sensitively depend on the electrostatic potential, Mach number, trapped electrontemperature, ion density, and temperature. An increase of the ion temperature decreases the dust charging rate and the propagation speed of ion waves. It turns out that a decrease of the trapped electrontemperature increases the charging rate of dust grains. It is found that the existence of ion waves sensitively depends on the ion to electron density ratio. New findings of variable-charge dust grain particles, ion density, and temperature in a dusty plasma with trapped electrons are predicted.