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. Author manuscript; available in PMC: 2012 Dec 7.

Published in final edited form as: Soft Matter. 2008 Nov 7;5(6):1251–1262. doi: 10.1039/b810031d

FIG. 4 — Estimate of the regime of collective motion for the 2d attractive lattice gas for the given values of cluster size n and diffusion exponent α. We show the intersection of the ‘clustodal’ (locus of _coll(n) = 1) with surfaces of constant cluster size n as a function of T and φ₀. For given n and α, collective motion dominates the behavior of clusters of size n (or smaller) in the region below the corresponding line. Hence, collective motion dominates this kinetic phase diagram for a broad range of temperatures and particle concentrations, with quantitative differences evident upon changing the exponent α (governing cluster diffusivity) from 1/2 to 1. We assume constant coordination number z_n = 2.5.

Inline graphic — Estimate of the regime of collective motion for the 2d attractive lattice gas for the given values of cluster size n and diffusion exponent α. We show the intersection of the ‘clustodal’ (locus of _coll(n) = 1) with surfaces of constant cluster size n as a function of T and φ₀. For given n and α, collective motion dominates the behavior of clusters of size n (or smaller) in the region below the corresponding line. Hence, collective motion dominates this kinetic phase diagram for a broad range of temperatures and particle concentrations, with quantitative differences evident upon changing the exponent α (governing cluster diffusivity) from 1/2 to 1. We assume constant coordination number z_n = 2.5.