Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-07-04
Physics
Condensed Matter
Statistical Mechanics
(14 pages, 2 figures) Submitted J. Phys. Condens. Matter
Scientific paper
10.1088/0953-8984/19/41/416105
In our first paper, we showed how a non-local effective Hamiltionian for short-ranged wetting may be derived from an underlying Landau-Ginzburg-Wilson model. Here, we combine the Green's function method with standard perturbation theory to determine the general diagrammatic form of the binding potential functional beyond the double-parabola approximation for the Landau-Ginzburg-Wilson bulk potential. The main influence of cubic and quartic interactions is simply to alter the coefficients of the double parabola-like zig-zag diagrams and also to introduce curvature and tube-interaction corrections (also represented diagrammatically), which are of minor importance. Non-locality generates effective long-ranged many-body interfacial interactions due to the reflection of tube-like fluctuations from the wall. Alternative wall boundary conditions (with a surface field and enhancement) and the diagrammatic description of tricritical wetting are also discussed.
Bernardino N. R.
Parry A. O.
Rascon C.
Romero-Enrique Jose Manuel
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