Dynamic heterogeneity in a glass forming fluid: susceptibility, structure factor and correlation length
Abstract
We investigate the growth of dynamic heterogeneity in a glassy hard-sphere mixture for volume fractions up to and including the mode-coupling transition. We use an 80 000 particle system to test a new procedure to evaluate a dynamic correlation length xi(t): we determine the ensemble independent dynamic susceptibility chi4(t) and use it to facilitate evaluation of xi(t) from the small wave vector behavior of the four-point structure factor. We analyze relations between the alpha relaxation time taualpha, chi4(taualpha), and xi(taualpha). We find that mode-coupling like power laws provide a reasonable description of the data over a restricted range of volume fractions, but the power laws' exponents differ from those predicted by the inhomogeneous mode-coupling theory. We find xi(taualpha) ~ ln(taualpha) over the full range of volume fractions studied, which is consistent with Adams-Gibbs-type relation.
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