ABSTRACT
The density distributions and contact angles of nanodrops on smooth solid surfaces are calculated on the basis of a nonlocal density functional theory in wide ranges of temperature and parameters of the Lennard-Jones potentials representing the fluid-fluid and fluid-solid interactions. A simple linear dependence of the contact angle on the fluid-solid energy parameter ϵ fs was found for various temperatures, hard core fluid-solid parameters σ fs, and average fluid density of the system. A simple expression is suggested which represents all the above results in a unified form that relates the contact angle θ to the parameters of the interaction potentials and temperature. The most intriguing feature was that for each considered σ fs there is a value https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429401848/07e61596-d871-4168-9433-7efd43350ea8/content/equ1_8_0001.tif"/> of ϵ fs for which the contact angle θ = θ 0 can be considered independent of temperature and of σ fs. It is shown that ϵ fs= https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429401848/07e61596-d871-4168-9433-7efd43350ea8/content/equ1_8_0002.tif"/> divides the materials for which θ increases from those for which θ decreases with increasing temperature. The results obtained for the dependence of the contact angle on the parameters of the model are in qualitative agreement with known molecular dynamics results. © 2009 American Institute of Physics. [DOI: 10.1063/1.3068406]
