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Abstract
Cluster formation in manybody systems is very common, yet still not fully understood. We employ direct confocal microscopy to measure the size distribution and reconstruct the shapes of permanent gel clusters formed by sticky colloidal spheres in a twodimensional (2D) suspension; the linear dimensions of the clusters are then measured by their radii of gyration Rg. We compare these nonergodic clusters with the shortlived clusters, which reversibly form and deform, in a thermodynamicallyequilibrated system of spherical colloids which interact solely by repulsions. Surprisingly, a similar behavior is observed for both types of clusters. In both cases, the average Rg of large clusters consisting of M particles scales as 〈Rg〉 M1/2, which indicates that these clusters are solid, while the smaller clusters are much more ramified. A simple lattice model with a single free parameter quantitatively describes this complex behavior of 〈Rg(M)〉. The experimental size distribution P(M) of our clusters is a (truncated) power law M−α, where the index α scales with colloid density and depends on the interparticle interactions. Strikingly, the observed behavior cannot be described by the common theoretical models which predict shorter correlation lengths and a densityindependent value of α; thus, further theoretical efforts are necessary to fully understand the physics of clustering in this simple and fundamental system.
Original language  English 

Pages (fromto)  29242929 
Number of pages  6 
Journal  Soft Matter 
Volume  10 
DOIs  
Publication status  Published  14 Mar 2012 
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Projects
 1 Finished

Edinbugrh Soft Matter and Statistical Physics Programme Grant Renewal
Cates, M., Poon, W., Ackland, G., Clegg, P., Evans, M., MacPhee, C. & Marenduzzo, D.
1/10/07 → 31/03/12
Project: Research