Abstract
There is no consensus on whether the macroscopic Laplace Equation of capillarity is applicable for nanoscale systems. The microscopic expression for the radius and surface tension of the surface of tension for cylindrical liquid were deduced on Gibbs theory of capillarity. The radii and tensions of the surfaces of tension and the differences between internal and outside pressure for several argon liquid cylinders consisting of different numbers of atoms with Lennard-Jones (LJ) potential under the temperature of 90 K were obtained by combination of molecular dynamics simulation and calculation. The results suggested that Laplace equation could be applicable in nanoscale with fairly good approximation.
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