Apparent Gouy-Chapman length

The apparent Debye-Hiickel (ADH) potential written in terms of the apparent Gouy-Chapman length is... 

The apparent Gouy-Chapman length for which the Debye-Hiickel potential asymptotically matches the PB profile, subject to the accuracy of Eq. [152], as shown for a sphere in Figure 18, is... 

We will see that this generalization works well for charged cylinders. To estimate the surface potential from the apparent Gouy-Chapman length within the PGC approximation, we simply solve Eq. [321] for w and use Eq. [316]. The apparent PGC surface charge density is obtained from the analog of... 

Inserting expressions for the surface potential from Eqs. [89] and [28] into Eq. [91] along with the definition of the Debye-Gouy-Chapman length in Eq. [27], we obtain the following relationship between apparent and actual Gouy-Chapman lengths ... 

---