Summary: EUROPHYSICS LETTERS
Europhys. Lett., 32 (6), pp. 499-504(1995)
20 November 1995
Polyelectrolyte Solutions between Charged Surfaces.
I. BORUKHOV(*), D.ANDELMAN(*)(§) and H. ORLAND(**)(@)
(*) School of Physics and Astronomy
Raymond and Beverly Sackler Faculty of Exact Sciences, Tel-Awiv University
Ramat-Awiv 69978, Tel-Awiv, Israel
(**) Service de Physique Thdorique, CE-Saclay - 91191 Gifsur-Yvette Cedex, France
(received 4 July 1995;accepted in final form 5 October 1995)
PACS. 61.25Hq - Macromolecular and polymer solutions; polymer melts.
PACS. 68.10-m - Fluid surfaces and fluid-fluid interfaces.
Abstract. - The effect of electrostatic interactions on the distribution of polymers in a good
solvent is investigated for semi-dilute solutions containing charged polymers (polyelectrolytes)
and small ions. A m a n field approach is used to derive two coupled differential equations: a
modified Poisson-Boltzmnnequation for the electrostatic potential, and a self-consistentfield
equation for the polymer order parameter, We compare several monomer charge distributions;
smeared, annealed and quenched. The polymers are confined between two charged surfaces, and
are in contact with a reservoir of polymers and electrolyte. This makes the annealed and
quenched cases equivalent. Non-monotonous profiles are obtained for the case of competing