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We evaluate the elasticity of arrested short-ranged attractive colloids bycombining an analytically solvable elastic model with a hierarchical arrestscheme into a new approach, which allows to discriminate the microscopic(primary particle-level) from the mesoscopic (cluster-level) contribution tothe macroscopic shear modulus. The results quantitatively predict experimentaldata in a wide range of volume fractions and indicate in which cases therelevant contribution is due to mesoscopic structures. On this basis we proposethat different arrested states of short-ranged attractive colloids can bemeaningfully distinguished as homogeneous or heterogeneous colloidal glasses interms of the length-scale which controls their elastic behavior.

Elasticity of arrested short-ranged attractive colloids: homogeneous and heterogeneous glasses