Abstract
We investigate thermodynamic and geometrical conditions for the formation of aliquid bridge between a planar and conical walls modeling atomic force microscope(AFM). Our macroscopic analysis is based on the grand canonical functional ofthe shape of the liquid–vapor interface which contains the relevant bulk, surfaceand line free energies. The phase diagram of such a confined fluid displays theexistence of two phases: one with a liquid bridge connecting the walls, and theother without a bridge. The structure of the corresponding coexistence line isdetermined and its dependence on the value of the line tension coefficient is discussed.
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