  Understanding the electrodes' surface morphology influence on the ions'
distribution is essential for designing the supercapacitors with enhanced
energy density characteristics. We develop a model for the structure of
electrolytes near the rough surface of electrodes. The model describes an
effective electrostatic field's increase and associated intensification of
ions' spatial separation at the electrode-electrolyte interface. These
adsorption-induced local electric and structure properties result in notably
increased values and sharpened form of the DC dependence on the applied
potential. Such capacitance behavior is observed in many published simulations,
and its description is beyond the capabilities of the established
flat-electrodes theories. The proposed approach could extend the quantitatively
verified models providing a new instrument of the electrodes surface-parameters
optimization for specific electrolytes.
