Percolation and critical behavior in many body systems

Earlier studies of percolation processes have been extended and the techniques applied to make a comprehensive study of the critical properties of random mixtures in three dimensions. Because of the theoretical interest, particularly in scaling theory, the investigation has been further extended to hyperdimensional mixtures and also to mixtures which are not random but determined by energetic considerations. The basic data has also been used for studies of the lattice gas model and the droplet model of condensation. A method of deriving series expansions for spin glasses has been developed. Thirteen appendices are attached to the original copy of this Technical Report. All are available in the open scientific literature. Copies can also be obtained on request from the controlling office.