J. Stafiej et al., A SIMPLE-MODEL TO INVESTIGATE THE EFFECTS OF NON-COULOMBIC INTERACTIONS ON THE STRUCTURE OF CHARGED INTERFACES, The Journal of chemical physics, 109(9), 1998, pp. 3607-3618
A simple field theoretical model is considered for an electrified inte
rface in which the electrolyte solution is in contact with a charged h
ard wall. The model for the electrolyte includes Coulombic interaction
s, local ideal entropy, functional and specific nonlocal interactions.
For the specific nonlocal interactions, the simplest form of the squa
re gradient term is selected. The charged hard wall is characterized b
y an additional short range potential reduced to the form of a Dirac f
unction. An exact relation, analogous to Maxwell relations in thermody
namics, is derived describing the effect of the wall specificity on th
e electric properties. In the mean held theory, the consistency equati
ons for the ionic profiles are solved analytically in the Limit of sma
ll charge densities and weak wall potentials. The electric double laye
r structure is discussed in terms of two characteristic lengths-Debye
length for electrostatics and the characteristic length for the specif
ic interaction. We also present and discuss charge and density profile
s of ions calculated numerically by it differential equation solver. W
ith the results thus obtained we find a behavior much different from t
he classical Gouy-Chapman theory. (C) 1998 American Institute of Physi
cs.