GLASSY, LIQUID-LIKE, AND FRACTAL STRUCTURES IN COLLOIDAL AGGREGATES

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A Monte Carlo procedure is used to examine the structure of equilibrium, colloidal aggregates governed by hard-disk (or hard-sphere) or square-well interparticle interactions. The resulting aggregates consist of a core with a liquid-like topological structure embedded in a fractal. The core extends over three to four particle diameters and its structure and range are determined by the interaction forces. The sheath surrounding the core has a fractal dimension of 1.93, corresponding to that of continuum percolation clusters, in the case of two-dimensional aggregates and a dimension of about 2.9 in the case of three dimensions. The occurrence of liquid-like cores and fractal sheaths is consistent with recently reported results (based on small-angle neutron-scattering studies) on silica dispersions flocculated by weakly charged or uncharged polymers of large molecular weight. The procedure outlined here can be readily extended to other interaction potentials through importance-sampling techniques and can be used for interpreting small-angle radiation-scattering data on colloidal, biological and other dispersions.
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