Critical Effects at 3D Wedge-Wetting

Details Critical Effects at 3D Wedge-Wetting Critical Effects at 3D Wedge-Wetting

1999-11-26

arxiv.org/abs/cond-mat/9911431v1

Physics

Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.85.345

We show that continuous filling or wedge-wetting transitions are possible in 3D wedge-geometries made from (angled) substrates exhibiting first-order wetting transitions and develop a comprehensive fluctuation theory yielding a complete classification of the critical behaviour. Our fluctuation theory is based on the derivation of a Ginzburg criterion for filling and also an exact transfer-matrix analysis of a novel effective Hamiltonian which we propose as a model for wedge fluctuation effects. The influence of interfacial fluctuations is shown to be very strong and, in particular, leads to a remarkable universal divergence of the interfacial roughness $\xi_{\perp}\sim (T_F-T)^{-1/4}$ on approaching the filling temperature $T_F$, valid for all possible types of intermolecular forces.

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