Critical wetting in power-law wedge geometries

Details Critical wetting in power-law wedge geometries Critical wetting in power-law wedge geometries

2002-09-11

arxiv.org/abs/cond-mat/0209266v1

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 3 figures, Submitted to J. Phys.: Cond. Matt

Scientific paper

10.1088/0953-8984/14/41/102

We investigate critical wetting transitions for fluids adsorbed in wedge-like geometries where the substrate height varies as a power-law, $z(x,y) \sim |x| ^\gamma$, in one direction. As $\gamma$ is increased from 0 to 1, the substrate shape is smoothly changed from a planar-wall to a linear wedge. The continuous wetting and filling transitions pertinent to these limiting geometries are known to have distinct phase boundaries and critical singularities. We predict that the intermediate critical wetting behaviour occurring for $0<\gamma< 1$ falls into one of {\it{three}} possible regimes depending on the values of $\gamma$, p and q. The unbinding behaviour is characterised by a high degree of non-universality, strongly anisotropic correlations and enhanced interfacial roughness. The shift in phase boundary and emergence of universal critical behaviour in the linear wedge limit is discussed in detail.

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