A close look into the excluded volume effects within a double layer

Abstract

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions, the mean-field Poisson-Boltzmann equation provides an excellent description of the density profiles. For large ions and large surface charges, however, deviations appear. To explore these, we use the density functional theory. We find that local density functionals are not able to account for steric interactions near a wall. Based on the weighted density approximation, we derive a simple analytical expression for the contact electrostatic potential, which allows us to analytically calculate the differential capacitance of the double layer.

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 25, 2012
Source ID
10.1063/1.4761938

Entities

People

  • Derek Frydel
  • Yan Levin

Organizations

  • Air Force Office of Scientific Research
  • Federal University of Rio Grande do Sul

Tags

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Plasma Physics.
  • Quantum Chemistry