Diagrammatic approach to response problems in composite systems

Details Diagrammatic approach to response problems in composite systems Diagrammatic approach to response problems in composite systems

2008-01-06

arxiv.org/abs/0801.0835v1

Physics

Condensed Matter

Statistical Mechanics

to be published in J. Stat. Mech

Scientific paper

10.1088/1742-5468/2008/01/P01025

The bulk macroscopic response of a system of particles or inclusions with field-induced forces is studied. The susceptibilities and transport coefficients in such a system are expressed as averages of a multiple scattering expansion. A special diagrammatic method is developed to analyze the structure of the expansion. The concept of irreducibility is discussed in detail and shown to be crucial in obtaining macroscopic equations characterizing the system response with coefficients depending solely on local properties of the medium. Due to the representation of particles by lines in diagrams, irreducibility is given a particularly simple topological interpretation in the diagrammatic language. The method is illustrated by a discussion of response problems in colloidal suspensions in presence of hydrodynamic interactions.

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