1212.6583 (Masao Iwamatsu)
Masao Iwamatsu
Wettability of a substrates is characterized by a contact angle. Applicability of the simple formula developed by Derjaguin, which relates to the contact angle and disjoining pressure to nano-scale liquid droplets is reconsidered within the framework of the theory of the first-order wetting transition of volatile liquids. It is concluded that his formula is generally correct for large droplets on an incompletely-wettable substrate. But it can not be applied to nanodroplets, in particular, on a completely-wettable substrate. An effective contact angle can be defined even for the nanaodroplet. A formula similar to the Derjaguin formula is proposed by which we can calculate the contact angle of nanodorplets on both an incompletely- and a completely-wettable substrate for which the whole volume of the droplet is under the influence of the disjoining pressure.
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http://arxiv.org/abs/1212.6583
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