Electric double layers interactions under condition of variable dielectric permittivity

  • Payam, Amir Farrokh (Nano-Electronics Center of Excellence, Faculty of Electrical and Computer Engineering, Campus #2, University of Tehran) ;
  • Fathipour, Morteza (Nano-Electronics Center of Excellence, Faculty of Electrical and Computer Engineering, Campus #2, University of Tehran)
  • Received : 2010.01.25
  • Accepted : 2010.05.22
  • Published : 2010.06.25


In this paper, a theoretical method has been developed for the electric double layer interaction under condition of the variable dielectric permittivity of water. Using Poisson-Boltzmann equation (PBE), for one plate and two plates having similar or dissimilar constant charge or constant potential, we have investigated the electric double layer potential, its gradient and the disjoining pressure as well as the effect of variation of dielectric permittivity on these parameters. It has been assumed that plates are separated by a specific distance and contain a liquid solution in between. It is shown that reduction of the dielectric permittivity near the interfaces results in compression of electric double layers and affects the potential and its gradient which leads to a decreased electrostatic repulsion. In addition, it is shown that variation of dielectric permittivity in the case of higher electrolyte concentration, leads to a greater change in potential distribution between two plates.


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