A study of annealed and quenched averaging of the thermodynamic potential in a disordered system: an augmented space approach

Abstract

We use the augmented space method, introduced by one of us, to study the configurational average of the thermodynamic potential of electrons in a disordered system. Invoking the relationship between the scattering diagram summation and the algebraic approaches to cluster generalizations of the coherent potential approximation, we indicate how such an approximation may be carried out on the thermodynamic potential. We also study the difference between annealed and quenched averaging from the scattering diagrammatic approach, to obtain insight into the difference between the two processes.