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We revisit the well-known topics of self- and induced-screening in an otherwise isotropic neutral plasma/colloid. It is pointed out that the standard Debye–Hückel (DH) theory (ignoring finite size effects) suffers from many ambiguities related to net ionic numbers, total charge of the system, role of the electrostatic Gauss law, short-distance behaviour of the potential and incorrectly normalized...
We demand that the Gauss law at the edge must be obeyed by the electric potential ϕ(r) generated within a neutral plasma/electrolyte of strictly finite size by the introduction of a test charge qb. Our proposal has the nice features that total ionic numbers are conserved, the point-Coulomb behaviour of ϕ(r) is guaranteed at short-distance, and accumulation of induced charges near the centre and...
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