Distribution function of finite-size lattice systems per particle in the grand canonical ensemble

The relationship of the size of finite lattice systems and their distribution functions per particle in the grand canonical ensemble is considered. Connections between the conditional distribution functions of the one-dimensional systems of different sizes are expressed in terms of recursion expressions for different boundary conditions. The application of the proposed method of computation of distribution functions per particle in the grand canonical ensemble shows that for one-dimensional finite-size systems with interactions between nearest-neighbors, phenomena analogous to first-order phase transitions can be observed. © 1991 American Chemical Society.