Electrostatic interactions in thin film Coulomb systems with periodic boundary conditions

Author: Cichocki B.   Felderhof B.U.  

Publisher: Taylor & Francis Ltd

ISSN: 1362-3028

Source: Molecular Physics, Vol.67, Iss.6, 1989-08, pp. : 1373-1384

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Abstract

We study the effective interaction between charges located in a slab, with periodic boundary conditions applied along the slab. When the distance between particles perpendicular to the slab is large, a Fourier representation of the interaction may be used. We derive a closed expression for the interaction for small perpendicular distance which provides a very good approximation to the actual interaction. The expression allows for fast numerical computation.