The European Physical Journal E

, Volume 23, Issue 3, pp 265–274

Electrostatic image effects for counterions between charged planar walls

Regular Article

DOI: 10.1140/epje/i2007-10187-2

Cite this article as:
Kanduč, M. & Podgornik, R. Eur. Phys. J. E (2007) 23: 265. doi:10.1140/epje/i2007-10187-2

Abstract.

We study the effect of dielectric inhomogeneities on the interaction between two planparallel charged surfaces with oppositely charged mobile charges in between. The dielectric constant between the surfaces is assumed to be different from the dielectric constant of the two semiinfinite regions bounded by the surfaces, giving rise to electrostatic image interactions. We show that on the weak-coupling level the image charge effects are generally small, making their mark only in the second-order fluctuation term. However, in the strong-coupling limit, the image effects are large and fundamental. They modify the interactions between the two surfaces in an essential way. Our calculations are particularly useful in the regime of parameters where computer simulations would be difficult and extremely time consuming due to the complicated nature of the long-range image potentials.

PACS.

87.15.Nn Properties of solutions; aggregation and crystallization of macromolecules87.15.-v Biomolecules: structure and physical properties82.70.Dd Colloids

Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Theoretical PhysicsJ. Stefan InstituteLjubljanaSlovenia
  2. 2.Department of Physics, Faculty of Mathematics and PhysicsUniversity of LjubljanaLjubljanaSlovenia