The interfacial tension γ in units of k B T/b 2 as a function of the curvature J in units b −1 (1/R, 2/R for cylindrical and spherical geometries, respectively).
(Left) A schematic drawing of the Im3m cubic phase. The “inner” phase (phase rich in A) is in dark gray, meaning that you cannot look through it. The interface is in light gray and drawn lines. On the left top we have given the elementary cell used in the SCF analysis. We refer to this as the SCF-box. On the top corner of this SCF box the sphere 1, gives the eye angle direction of the SCF results presented on the right. (Right) The volume fraction distribution of the A-segments φ A (x, y, z) together with slices onto which the equi-density contour plots are drawn. Phase rich in B is given by the blue color. Standard conditions χ AB = 2.05, The amount of A equals that of B. The box size is the same in all three directions, i.e., m ≡ m x = m y = m z = 100.
The Gaussian bending modulus for the liquid-liquid interface found by the grand potential of the interface curved in the saddle shape as in the Im3m cubic phase as a function of Δχ which is a measure for the distance from the critical point, in double logarithmic coordinates. Results for various values of the SCF box size m are given ranging from m = 20 to m = 40. The arrows point in the direction of curves with increasing values of m. The dotted line has a slope of 0.5 and is drawn to guide the eye.
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