title: Derivation of a non-local interfacial Hamiltonian for short-ranged wetting: II. General diagrammatic structure.
abstract: In our first paper, we showed how a non-local effective Hamiltonian 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 zigzag 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.
authors.affiliation: Department of Mathematics, Imperial College London, London SW7 2BZ, UK.
authors.forename: A O
authors.initials: AO
authors.lastname: Parry
authors.forename: C
authors.initials: C
authors.lastname: Rascón
authors.forename: N R
authors.initials: NR
authors.lastname: Bernardino
authors.forename: J M
authors.initials: JM
authors.lastname: Romero-Enrique