On Dust Charging Equation
Nodar L.Tsintsadze, Levan N.Tsintsadze

TL;DR
This paper presents a comprehensive derivation of the dust grain charging equation, clarifying its applicability and discussing charge fluctuation issues on dust grain surfaces.
Contribution
It provides a general derivation of the dust charging equation and analyzes conditions for its valid use and charge fluctuation phenomena.
Findings
Derived a general dust charging equation
Identified conditions for equation applicability
Discussed charge fluctuation on dust surfaces
Abstract
A general derivation of the charging equation of a dust grain is presented, and indicated where and when it can be used. A problem of linear fluctuations of charges on the surface of the dust grain is discussed.
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