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

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

2003-11-11

arxiv.org/abs/cond-mat/0311246v1

Physics

Condensed Matter

Statistical Mechanics

14 two-column pages, 3 figures, submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.69.061604

Interfacial structure and correlation functions near a two-dimensional (2D) 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.

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