Cluster Variation for Spatially Distributed Heterogeneous Systems

Abstract Fundamentals of cluster variation (CV) are developed for locally heterogeneous spatially distributed systems. The theory is based on the principles homogeneous CV in which all variants location basis a lattice additionally considered when it translated over system. structure statistical sum shown to remain upon moving or lattice. However, cofactors sum, previously corresponded clusters, must now consider arrangements sites inside each cluster. general approach use layered transitional region with variable density between vapor and fluid planar square Explicit expressions given 3 × Using 2 cluster, how an explicit equation equilibrium particle distribution can be obtained from sum. A gradual increase size m n converges exact solution.