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We poorly understand the macroscopic properties of complex fluids and ofamorphous bodies in general. This is mainly due to the interplay betweenphenomena at different levels and length-scales. In particular, it is notnecessarily true that the microscopic level (dominated by direct interactions)coincides with the level where the continuum description comes into play. Thisis typically the case in the presence of structural inhomogeneities which areinherent to all structurally disordered states of matter below close packing.As a consequence, the macroscopic response to external fields of either fluidor arrested disordered states is not well understood. In order to disentanglethis complexity, in this work we build upon a simple yet seemingly powerfulconcept. This can be summarized as follows: the mesoscopic length-scale ofstructural inhomogeneities is assumed to be the characteristic length-scale ofthe effective building blocks, while the degrees of freedom of the primaryparticles are integrated out. Theoretical results are derived, in the presentwork, for the macroscopic response of fluid and dynamically arrested modelcolloidal states in fields of shear. The predictions of the coarse-grainedtheories and the applicability of the principle are tested in comparison withoriginal simulation and experimental data.

On a Coarse-Graining Concept in Colloidal Physics with Application to Fluid and Arrested Colloidal Suspensions in Shearing Fields