%0 Journal Article %T Electrokinetic Instability near Charge-Selective Hydrophobic Surfaces %A V. S. Shelistov %A E. A. Demekhin %A G. S. Ganchenko %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevE.90.013001 %X The influence of the texture of a hydrophobic surface on the electro-osmotic slip of the second kind and the electrokinetic instability near charge-selective surfaces (permselective membranes, electrodes, or systems of micro- and nanochannels) is investigated theoretically using a simple model based on the Rubinstein-Zaltzman approach. A simple formula is derived to evaluate the decrease in the instability threshold due to hydrophobicity. The study is complemented by numerical investigations both of linear and nonlinear instabilities near a hydrophobic membrane surface. Theory predicts a significant enhancement of the ion flux to the surface and shows a good qualitative agreement with the available experimental data. %U http://arxiv.org/abs/1402.3494v1