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Despite its importance, the understanding of ionic cloud distribution closeto a charged macroion under physiological salt conditions has remained verylimited especially for strongly coupled systems with, for instance, multivalentcounterions. Here we present a formalism that predicts both counterion andcoion distributions in the vicinity of a charged macroion for an arbitraryamount of added salt and in both limits of mean field and strong coupling. Thedistribution functions are calculated explicitly for ions next to an infiniteplanar charged wall. We present a schematic phase diagram identifying differentphysical regimes in terms of electrostatic coupling parameter and bulk saltconcentration.

Ionic Cloud Distribution close to a Charged Surface in the Presence of Salt