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Recent work has demonstrated the strong qualitative differences between thedynamics near a glass transition driven by short-ranged repulsion and onegoverned by short-ranged attraction. Here, we study in detail the behavior ofnon-linear, higher-order correlation functions that measure the growth oflength scales associated with dynamical heterogeneity in both types of systems.We find that this measure is qualitatively different in the repulsive andattractive cases with regards to the wave vector dependence as well as the timedependence of the standard non-linear four-point dynamical susceptibility. Wediscuss the implications of these results for the general understanding ofdynamical heterogeneity in glass-forming liquids.

Dynamical Heterogeneity and Nonlinear Susceptibility in Short-Ranged Attractive Supercooled Liquids