Tricritical wedge filling transitions with short-ranged forces

Details Tricritical wedge filling transitions with short-ranged forces Tricritical wedge filling transitions with short-ranged forces

2005-10-24

arxiv.org/abs/cond-mat/0510623v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures, 6th Liquid Matter Conference Proceedings (to be published in J. Phys.: Condens. Matter)

Scientific paper

10.1088/0953-8984/17/45/038

We show that the 3D wedge filling transition in the presence of short-ranged interactions can be first-order or second order depending on the strength of the line tension associated with to the wedge bottom. This fact implies the existence of a tricritical point characterized by a short-distance expansion which differs from the usual continuous filling transition. Our analysis is based on an effective one-dimensional model for the 3D wedge filling which arises from the identification of the breather modes as the only relevant interfacial fluctuations. From such analysis we find a correspondence between continuous 3D filling at bulk coexistence and 2D wetting transitions with random-bond disorder.

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