H. Lowen et E. Allahyarov, THE ROLE OF EFFECTIVE TRIPLET INTERACTIONS IN CHARGED COLLOIDAL SUSPENSIONS, Journal of physics. Condensed matter, 10(19), 1998, pp. 4147-4160
The traditional theory of the effective interactions between charged c
olloidal particles ('macro-ions') treats the screening of the counter-
ions on a linear response level resulting in the well-known screened C
oulomb pair potential proposed by Derjaguin, Landau, Verwey and Overbe
ek. In general, however, due to non-linear counter-ion screening, the
effective interactions involve many-body contributions. Using molecula
r dynamics simulation of the highly asymmetric primitive model with th
ree macro-ions, we calculate the effective triplet forces and compare
them with the pairwise contributions. Near touching of a macro-ion tri
pler, the triplet interaction represents a significant attractive corr
ection to the repulsive pairwise interaction while it is small for lar
ge inter-particle separations. Furthermore, we compare our simulation
results for the triplet forces with an analytical expression gained fr
om a density functional perturbation approach. Upon performing a suita
ble renormalization, we find reasonable agreement for situations of we
ak and strong coupling as well as for situations with added salt ions.