The total and direct correlation function in the interface of the lattice gas in two dimensions

Abstract
The interface between two co-existing phases of a lattice gas in two dimensions in a certain non-zero external potential is studied by a computer simulation, which produces numerically accurate results by the use of a transfer matrix which is constructed numerically. Strips of dimensions 7 x ∞ and 11 x ∞ were studied at T ≼0.5 T c . The two-point distribution function, the two-point correlation function, the direct correlation function of Ornstein–Zernike and their Fourier transforms were computed and are shown and discussed.