The adsorption of weakly charged polyelectrolytes at planar and opposi
tely charged surfaces was modeled by using a mean-field lattice theory
for flexible polyelectrolytes in solution. The nature of the adsorpti
on was described in terms of volume fraction profiles, adsorbed amount
; thickness of adsorbed layer, and conformational characteristics at d
ifferent salt concentrations. The effect on the adsorption of (i) poly
electrolyte length, (ii) linear charge density of the polyelectrolyte,
(iii) volume fraction of the polyelectrolyte, (iv) nonelectrostatic p
olyelectrolyte-surface interaction, and (v) surface potential or surfa
ce charge density, all at different salt concentrations and different
surface conditions, was investigated. In most cases, as the salt conce
ntration is increased, the adsorbed amount is reduced but the thicknes
s of the adsorbed layer is increased. At low salt concentration and at
constant surface charge density, the amount adsorbed is governed by t
he surface charge density through a polyelectrolyte-surface charge mat
ching. At constant surface potential, a more diverse picture has emerg
ed. A less regular distribution of the charges along the polyelectroly
te chain facilitates the adsorption.