Perturbed Gouy-Chapman

Bulk Model Perturbed Gouy-Chapman Approximation... 

The perturbed Gouy-Chapman expression of Eq. [152] may also be used to derive an apparent Debye-Hiickel potential similar to Eq. [308]. Using the approximate solution for az z electrolyte given by either Eqs. [147] and [149] or Eqs. [152] and [154], we can obtain an apparent DH potential far from a slightly curved charged surface. The two leading terms in the asymptotic expansion of Eq. [152] are... 

GC Gouy-Chapman PB, Poisson-Boltzmann DH, Debye-Huckel ADH, apparent Debye-Hflckel NLDH, nonlinear Debye-Huckel PGC, perturbed Gouy-Chapman DIT, dressed-ion theory... 

A polyelectrolyte solution contains the salt of a polyion, a polymer comprised of repeating ionized units. In dilute solutions, a substantial fraction of sodium ions are bound to polyacrylate at concentrations where sodium acetate exhibits only dissoci-atedions. Thus counterion binding plays a central role in polyelectrolyte solutions [1], Close approach of counterions to polyions results in mutual perturbation of the hydration layers and the description of the electrical potential around polyions is different to both the Debye-Huckel treatment for soluble ions and the Gouy-Chapman model for a surface charge distribution, with Manning condensation of ions around the polyelectrolyte. 

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