Equilibrium composition of symmetric binary fluids: bbc (∗) and cubic (+) lattice fluids; off-lattice fluids with Gaussian and (◼); Yukawa and Lennard–Jones (▾); Yukawa and (▴). Flory–Huggins mean-field result is plotted for comparison as the solid line (Ref. 17): .
Relative error in values predicted by Eq. (21) compared to Eq. (6) as a function of the potential width (related to the number of interacting neighbors per particle). Here , corresponding to a single homogeneous phase; .
Comparison of radial distribution functions with (points) and 0 (lines) for Gaussian (G) and Yukawa–LJ systems.
Error in predicted by Eq. (21) as a function of the homogeneous potential strength . Here , corresponding to . Gaussian potentials.
Comparison of the exact [Eq. (7)] to the approximate equations indicated on the plot. Results are for a symmetric mixture with binary interactions and an externally imposed plane wave composition field with wavelength .
Comparison of to the Gaussian distribution, both integrated over spherical angular coordinates and normalized to unity in . The system is described in Sec. IV C.
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