Interfacial correlation function for adsorption on a disc
arXiv:cond-mat/0309339 · doi:10.1016/j.physa.2003.10.068
Abstract
Within the Landau-Ginzburg-Wilson approach we derive the effective Hamiltonian governing fluctuations of an interface between two phases, one of them adsorbed on a disclike substrate. For large disc radii and for temperatures close to the wetting temperature of the corresponding planar substrate the expressions for the hight-hight correlation function and the accompanying correlation angle are derived. Their dependence on the disc radius and the reduced temperature is discussed and the relevant scaling regimes are identified.