An exact matrix calculation for a two-dimensional model of the steam-water-ice system: bulk and boundary properties

Publisher Website
Google Scholar
Abstract
The model studied consists of a two-dimensional triangular lattice of which some sites are occupied by the centres of molecules. The lattice is wrapped around a semi-infinite cylinder terminating in a row of boundary sites. Maxima of the isothermal compressibility are located and it is shown that these maxima become steeper as the width of the lattice increases. The 'phase diagram' of these maxima is compared with the corresponding phase diagram obtained from first-order calculations. The probabilities for different types of occupation of the boundary sites are determined by the interaction with the environment and the successive occupations of the sites of the lattice, proceeding in a direction away from the boundary, are given by a stationary Markov chain.

This publication has 19 references indexed in Scilit: