THE REPLICA ORNSTEIN-ZERNIKE EQUATIONS AND THE STRUCTURE OF PARTLY QUENCHED MEDIA

We derive the replica Ornstein-Zernike equations (ROZ) satisfied by the two-point correlation functions for a partly quenched system, i.e., a system in which some of the particles are quenched, or frozen in place, and some are annealed, or allowed to equilibrate. A formally exact closure for these equations is given. A set of integral equations given by Madden and Glandt are recovered as an approximation to the exact ROZ equations. We discuss the fundamental status of this approximation. We also present new exact relations that express the thermodynamic quantities of partly quenched media using the canonical ensemble in terms of the correlation functions in such media.