Distribution of ions near a charged selective surface in critical binary solvents. Alina Ciach 1 and Anna MacioGLYPH<suppress>lek 2, 3, 1 $^{1}$Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, PL-01-224 Warsaw, Poland. $^{2}$Max-Planck-Institut f¨ ur Metallforschung, Heisenbergstr. 3, D-70569 Stuttgart, Germany. $^{3}$Institut f¨ ur Theoretische und Angewandte Physik, Universit¨ at Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. (Dated: November 20, 2018) Near-critical binary mixtures containing ionic solutes near a charged wall preferentially adsorbing one component of the solvent are studied. Within the Landau-Ginzburg approach extended to include electrostatic interactions and the chemical preference of ions for one component of the solvent, we obtain a simple form for the leading-order correction to the Debye-H¨ uckel theory result for the charge density profile. Our result shows that critical adsorption influences significantly distribution of ions near the wall. This effect may have important implications for the screening of electrostatic interactions between charged surfaces immersed in binary near-critical solvents. Abstract arXiv:1001.1721v1 [cond-mat.stat-mech] 11 Jan 2010 1