**General solution to the electric double layer with discrete interfacial
charges**

S Vangaveti and A Travesset, JOURNAL OF CHEMICAL PHYSICS, 137, 064708 (2012).

DOI: 10.1063/1.4739300

We provide extensive molecular dynamics simulations of counterion and
coion distributions near an impenetrable plane with fixed discrete
charges. The numerical results are described by an explicit solution
that distinguishes the plasma (root A(c)/sigma > 3) and the binding
regime (root A(c)/sigma < 3) where sigma is the ion diameter and A(c) =
vertical bar e/nu vertical bar (nu is the surface charge density). In
the plasma regime, the solution consists of a product of two functions
that can be computed from simpler models and reveals that the effects of
the discreteness of the charge extends over large distances from the
plane. The solution in the binding regime consists of a Stern layer of
width a and a diffuse layer, but contrary to standard approaches, the
strong correlations between ions within the Stern layer and the diffuse
layer require a description in terms of a "displaced" diffuse layer. The
solution is found to describe electrolytes of any valence at all
concentrations investigated (up to 0.4M) and includes the case of
additional specific interactions such as van der Waals attraction and
other generalizations. We discuss some open questions. (C) 2012 American
Institute of Physics. **http://dx.doi.org/10.1063/1.4739300**

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