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

Abstract

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

5 pages, 3 figures

References in corpus (10)

• Direct experimental evidence of a growing length scale accompanying the glass transition
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Predicting the long time dynamic heterogeneity in a supercooled liquid on the basis of short time heterogeneities
• Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Logarithmic Relaxation in Glass-Forming Systems
• Lengthscale dependence of dynamic four-point susceptibilities in glass formers
• Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses
• On the relationship between structure and dynamics in a supercooled liquid
• Sensitivity of arrest in mode-coupling glasses to low-q structure

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• Dynamical heterogeneity in a glass forming ideal gas
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• Three-point susceptibilities ${\chi }_n(k;t)$ and ${\chi }_n^s(k;t)$: mode-coupling approximation
• Packing hard spheres with short-range attraction in infinite dimension: Phase structure and algorithmic implications
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• Glasses in Colloidal Systems. Attractive Interactions and Gelation
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