Interfacial structure at a two-dimensional wedge filling transition: Exact results and a renormalization group study

Romero-Enrique, J. M. and Parry, A. O. and Greenall, M. J. (2004) Interfacial structure at a two-dimensional wedge filling transition: Exact results and a renormalization group study. Physical Review E, 69 (6). 061604. ISSN 2470-0045

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Abstract

nterfacial structure and correlation functions near a two-dimensional wedge filling transition are studied using effective interfacial Hamiltonian models. An exact solution for short range binding potentials and results for Kratzer binding potentials show that sufficiently close to the filling transition a new length scale emerges and controls the decay of the interfacial profile relative to the substrate and the correlations between interfacial positions above different positions. This new length scale is much larger than the intrinsic interfacial correlation length, and it is related geometrically to the average value of the interfacial position above the wedge midpoint. The interfacial behavior is consistent with a breather mode fluctuation picture, which is shown to emerge from an exact decimation functional renormalization group scheme that keeps the geometry invariant.

Keywords:statistical physics, wetting
Subjects:F Physical Sciences > F300 Physics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:22433
Deposited On:04 Mar 2016 20:14

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