  By extending the theoretical framework derived in our previous study [Y.
Imaizumi et al., J. Chem. Phys. 153, 034701 (2020)], we successfully calculated
the solid-liquid (SL) and solid-vapor (SV) interfacial tensions of a simple
Lennard-Jones fluid around solid cylinders with nanometer-scale diameters from
single equilibrium molecular dynamics (MD) systems, in which a solid cylinder
was 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 balance
relations on fluid-containing control volumes set around the bottom and top of
the solid cylinder, which are subject to the fluid stress and the force from
the solid. % The theoretical contact angle calculated by Young's equation using
these interfacial tensions agreed well with the apparent contact angle
estimated by the analytical solution fitted to the meniscus shape, showing that
Young's equation holds even for the menisci around solids with nanoscale
curvature. % We have also found that the curvature effect on the contact angle
was surprisingly small while it was indeed large on the local forces exerted on
the solid cylinder near the contact line. In addition, the present results
showed that the curvature dependence of the SL and SV interfacial free
energies, which are the interfacial tensions, is different from that of the
corresponding interfacial potential energies.

Soft Condensed Matter;Chemical Physics