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By extending the theoretical framework derived in our previous study [Y.Imaizumi et al., J. Chem. Phys. 153, 034701 (2020)], we successfully calculatedthe solid-liquid (SL) and solid-vapor (SV) interfacial tensions of a simpleLennard-Jones fluid around solid cylinders with nanometer-scale diameters fromsingle equilibrium molecular dynamics (MD) systems, in which a solid cylinderwas vertically immersed into a liquid pool. The SL and SV interfacial tensions$\gamma_\mathrm{SL} - \gamma_\mathrm{S0}$ and $\gamma_\mathrm{SV} -\gamma_\mathrm{S0}$ relative to that for bare solid surface$\gamma_\mathrm{S0}$, respectively were obtained by simple force balancerelations on fluid-containing control volumes set around the bottom and top ofthe solid cylinder, which are subject to the fluid stress and the force fromthe solid. % The theoretical contact angle calculated by Young's equation usingthese interfacial tensions agreed well with the apparent contact angleestimated by the analytical solution fitted to the meniscus shape, showing thatYoung's equation holds even for the menisci around solids with nanoscalecurvature. % We have also found that the curvature effect on the contact anglewas surprisingly small while it was indeed large on the local forces exerted onthe solid cylinder near the contact line. In addition, the present resultsshowed that the curvature dependence of the SL and SV interfacial freeenergies, which are the interfacial tensions, is different from that of thecorresponding interfacial potential energies.

Curvature dependence of the interfacial tensions around nanoscale cylinder: Young's equation still holds