Abstract
Large-scale simulations of two-dimensional bidisperse granular fluids allow us to determine spatial correlations of slow particles via the four-point structure factor . Both cases, elastic () and inelastic () collisions, are studied. As the fluid approaches structural arrest, i.e., for packing fractions in the range , scaling is shown to hold: . Both the dynamic susceptibility and the dynamic correlation length evaluated at the relaxation time can be fitted to a power law divergence at a critical packing fraction. The measured widely exceeds the largest one previously observed for three-dimensional (3d) hard sphere fluids. The number of particles in a slow cluster and the correlation length are related by a robust power law, , with an exponent . This scaling is remarkably independent of , even though the strength of the dynamical heterogeneity at constant volume fraction depends strongly on .
- Received 18 December 2013
DOI:https://doi.org/10.1103/PhysRevLett.113.025701
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