Figure 4.

Correlation between the order parameter μ from Eq. 9 and modes of the exact solution of the PE equation for nonspherical geometries shown in Fig. 2. The values of μ_ij and Ψ are computed for a set of locations of the source q_i and test charges q_j inside the low dielectric solute space. Locations of q_i are (x = 0, z = z₀) for the plates geometry or (θ = 0, z = z₀) for the concentric spheres, where z₀ uniformly spans the interval a/10 < z₀ < 0.9a. Locations of q_j span the same set of points along the z axis, and vary from x = 0.1a to x = 5a for the plates (from θ = 0 to θ = π for the concentric spheres) in the longitudinal direction. Here a is the structure size, see Fig. 2. All quantities are computed (numerically) exactly.