Effective interfacial Hamiltonian theories of correlation functions at wetting transitions

Publisher Website
Google Scholar
Abstract
The Fisher-Jin crossing criterion derivation of the effective interfacial Hamiltonian for wetting transitions is generalized to consider surfaces of fixed magnetization that may remain bound to the wall in the limit of infinite adsorption. It is shown that an infinite set of such effective Hamiltonians is required to construct the mean-field order-parameter correlation function G(r1, r2). Surfaces that remain bound to the wall in the limit of complete wetting are shown to exhibit fluctuations which have a coherent quality. The author emphasizes that the construction of G from an infinite set of effective Hamiltonians is required for full thermodynamic consistency.