title: Accurate determination of the vapor-liquid-solid contact line tension and the viability of Young equation.
abstract: In this work, we present a theoretical method to determine the line tension of nanodroplets on homogeneous substrates via decomposing the grand free energy into volume, interface and line contributions. With the obtained line tension, we check the viability of Young equation and find that the chemical potential dependence (or equivalently, droplet curvature dependence) of the interface tensions is crucial for the viability of modified Young equation at the nanometer scale. In particular, the linear relationship between the cosine of contact angle and the curvature of the contact line, which is often used to determine the line tension, is found to be incorrect at the nanometer scale.
authors.affiliation: Division of Molecular and Materials Simulation, State Key Laboratory of Organic-Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, China.
authors.forename: Yawei
authors.initials: Y
authors.lastname: Liu
authors.forename: Jianjun
authors.initials: J
authors.lastname: Wang
authors.forename: Xianren
authors.initials: X
authors.lastname: Zhang