R. Van Roij et al., Phase diagram of charge-stabilized colloidal suspensions: van der Waals instability without attractive forces, PHYS REV E, 59(2), 1999, pp. 2010-2025
A careful analysis of the classic Derjaguin-Landau-Verwey-Overbeek theory o
f the interaction energy in a suspension of charge-stabilized, spherical co
lloidal particles (polyions) in the presence of salt shows that in addition
to the usual screened-Coulomb effective pair interaction between polyions,
there exists a structure-independent but state-dependent contribution (the
"volume" term), which has almost invariably been overlooked. A variational
procedure based on the Gibbs-Bogoliubov inequality is used to calculate th
e contribution of the polyion pair interactions to the free energy of the s
uspension. The latter is then combined with the ''volume'' term to derive t
he phase diagram of the colloidal suspension. Although the effective pair i
nteraction between polyions is purely repulsive, it is shown that the volum
e term may drive a van der Waals-like instability in highly deionized suspe
nsions (salt concentrations less than 20 mu M) for experimentally relevant
choices of the polyion radius and charge. If the latter are sufficiently la
rge, the fluid-fluid phase separation is preempted by the fluid-solid freez
ing transition which broadens considerably. Reentrant behavior is predicted
on the solid side of the phase diagram. The predicted phase diagrams may p
rovide an explanation of some surprising recent experimental results. They
also show that the observation of a fluid-fluid phase separation in a charg
e-stabilized colloidal dispersion does not necessarily imply the existence
of an attractive component in the effective pair interaction between highly
charged polyions.