Аннотация
We study the formation and the shape of a liquid meniscus in a wedge with
opening angle \$2\phi\$ which is exposed to a vapor phase. By applying a suitable
effective interface model, at liquid-vapor coexistence and at a temperature
\$T\_\phi\$ we find a filling transition at which the height of the meniscus
becomes macroscopically large while the planar walls of the wedge far away from
its center remain nonwet up to the wetting transition occurring at
\$T\_w>T\_\phi\$. Depending on the fluid and the substrate potential the filling
transition can be either continuous or discontinuous. In the latter case it is
accompanied by a prefilling line extending into the vapor phase of the bulk
phase diagram and describing a transition from a small to a large, but finite,
meniscus height. The filling and the prefilling transitions correspond to
nonanalyticities in the surface and line contributions to the free energy of
the fluid, respectively.
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