A New Model For Incorporating the Variations of the Dielectric   Permittivity of the Medium: Part (1)Potential Distribution of an Electrical   Double Layer in Rectangular Nano channel by Applying Finite Element Method   Technique
  The effect of the dielectric permittivity of the electrolytic medium in the Electrical Double Layer (EDL) in Nanochannel is an important factor that requires a correction, before the application of the model in various chemical and biomedical examinations. However very few efforts are put forth to accommodate this into the mathematics of the EDL Models developed hitherto, even though it was realized by a host of authors for the past half a century or even more. Most of the Nanoc hannel made lab-on-chips in a rectangular cross section require suitable impregnation of this. The effect of the EDL in a nanochannel isimportant in various chemical and biomedical examinations. Most of the nanochannelmadelab on chips in a rectangular cross section. The EDL insuch a nanochannel is governed by two dimensional Gouy Chapman (GC)equation. 
Rajendra Padidhapu, Shahnaz Bathul, V.Brahmajirao
cond-mat.soft