It can be obtained from the colloids' radial distribution functions, g(r), through the relation (15,23):
We shall use equation (6) to obtain the PMF for the ZBP model, using the radial distribution functions calculated in reference (22), and compare with the models shown in equations (4) and (5).
Here, we show that a clearer understanding of the conditions for stability of a colloidal dispersion can be obtained from analysis of the PMF, which can be obtained directly from radial distribution functions and reduces to analytical thermodynamics calculations.
Figure 8a shows the radial distribution function with the radial distance scaled by the particle effective diameter, the geometric diameter plus two times the Debye screen length (d + 2 [[kappa].
NOMENCLATURE 2-D two-dimensional A particle area fraction d diameter of particles g(r) radial distribution function [J.
Figures 3 and 4 show the results of the Monte Carlo simulations for the particle configurations; the corresponding radial distribution functions [g(r)] for the air-water interfacial particles at the area fractions of A = 0.