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The relativistic effects on the dust grain charging process and the dust grain electrical potential are investigated by taking into account the relativistic cross section by the orbit-limited motion (OLM) theory, a kinetic model and the relativistic Maxwellian distribution function for currents carried by ions and electrons. The calculations are applied by the numerical analyses to finding the dust grain electrical potential in the dust charging process. It is found that by increasing the dust grains density, dust particles are as a component from conventional multi-ionic plasma that shows the collective behavior. In addition to, it is indicated that the role of mass is more colorful than the ion temperature in the light plasma such as hydrogen versa the heavy plasma such as oxygen in relativistic regime. Moreover, it is showed that, as ions are closer to the ultra-relativistic range, the dust grain electrical potential is increased and the difference between the dust grain electrical potential in oxygen, helium and hydrogen plasmas become more and more.

Keywords: dust electrical potential, dust charging, relativistic Maxwellian distribution, orbit limited motion theory (OLM), dusty plasma

     

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