Anisotropic structure factor for a hard-sphere fluid confined between hard planar surfaces. (a) Theoretical and (b) experimental S(q ⊥, q ‖) are shown for a reduced slit width of L = 2.10σ and bulk number density n 0 = 0.75σ−3. The dark red feature at q ‖ = 0 in the experimental data is diffraction from the confining channel array, which should be neglected in the comparison. The experimental data are taken from Ref. 29 . (c) The corresponding isotropic bulk S(q) for n 0 = 0.75σ−3.
Theoretical anisotropic structure factor as in Fig. 1 , but for different slit widths. The reduced slit widths are (a) L = 1.05σ, (b) 1.60σ, (c) 2.05σ, (d) 2.55σ, (e) 3.00σ, and (f) 3.50σ.
Number density profiles n(z) for the hard-sphere fluid confined between hard planar surfaces. The reduced slit widths range from L = 1.05σ to 4.00σ.
Excess adsorption Γ and average volume fraction ϕ av of hard spheres in the slit between two surfaces as functions of surface separation. The dashed curve shows the volume fraction in bulk.
Ensemble-averaged local density correlation function ⟨n(z)h(z, R, 0)⟩ for the reduced slit width L = 1.05σ. In the bottom part of the figure a contour plot of the function is shown and in the top part the same plot is illustrated in a 3D manner with peak heights proportional to the function value. The gray color denotes a narrow interval around the value zero.
Ensemble-averaged local density correlation function ⟨n(z)h(z, R, 0)⟩ corresponding to the anisotropic structure factors of Fig. 2 . The reduced slit widths are (a) L = 1.05σ, (b) 1.60σ, (c) 2.05σ, (d) 2.55σ, (e) 3.00σ, and (f) 3.50σ.
Local density n(z 1)g(z 1, z 2, R 12) at coordinate (R 12, z 1) around a particle in the slit between two hard surfaces, when the particle is located on the z axis at coordinate z 2. Data are shown for the reduced slit width L = 2.05σ and three different particle positions: (a) in contact with one surface, (b) at the density minimum, and (c) in the slit center. The gray region depicts the excluded volume around the particle.
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