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For a film of liquid on a solid surface, the binding potential $g(h)$ givesthe free energy as a function of the film thickness $h$ and also the closelyrelated structural disjoining pressure $\Pi = - \partial g / \partial h$. Thewetting behaviour of the liquid is encoded in the binding potential and theequilibrium film thickness corresponds to the value at the minimum of $g(h)$.Here, the method we developed in [J. Chem. Phys. 142, 074702 (2015)], andapplied with a simple discrete lattice-gas model, is used with continuumdensity functional theory (DFT) to calculate the binding potential for aLennard-Jones fluid and other simple liquids. The DFT used is based onfundamental measure theory and so incorporates the influence of the layeredpacking of molecules at the surface and the corresponding oscillatory densityprofile. The binding potential is frequently input in mesoscale models fromwhich liquid drop shapes and even dynamics can be calculated. Here we show thatthe equilibrium droplet profiles calculated using the mesoscale theory are ingood agreement with the profiles calculated directly from the microscopic DFT.For liquids composed of particles where the range of the attraction is muchless than the diameter of the particles, we find that at low temperatures$g(h)$ decays in an oscillatory fashion with increasing $h$, leading to highlystructured terraced liquid droplets.

journal of chemical physics online/the journal of chemical physics/journal of chemical physics

Influence of the fluid structure on the binding potential: comparing  liquid drop profiles from density functional theory with results from  mesoscopic theory