Abstract
The bulk macroscopic response of a system of particles or inclusions with field-inducedforces is studied. The susceptibilities and transport coefficients in such a system areexpressed as averages of a multiple-scattering expansion. A special diagrammaticmethod is developed for analyzing the structure of the expansion. The concept ofirreducibility is discussed in detail and shown to be crucial in obtaining macroscopicequations characterizing the system response with coefficients depending solely onlocal properties of the medium. Due to the representation of particles by lines indiagrams, irreducibility is given a particularly simple topological interpretation in thediagrammatic language. The method is illustrated by a discussion of responseproblems in colloidal suspensions in the presence of hydrodynamic interactions.
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