Lengthscale dependence of dynamic four-point susceptibilities in glass formers

Abstract

Dynamical four-point susceptibilities measure the extent of spatial correlations in the dynamics of glass forming systems. We show how these susceptibilities depend on the length scales that necessarily form part of their definition. The behaviour of these susceptibilities is estimated by means of an analysis in terms of renewal processes within the context of dynamic facilitation. The analytic results are confirmed by numerical simulations of an atomistic model glass-former, and of two kinetically constrained models. Hence we argue that the scenario predicted by the dynamic facilitation approach is generic.

10 pages, 8 figures, v3 has minor revisions

References in corpus (5)

• Glassy dynamics of kinetically constrained models
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• Dynamical Exchanges in Facilitated Models of Supercooled liquids
• Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
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