Lengthscale dependence of dynamic four-point susceptibilities in glass formers

2006/05/31 by David Chandler, Juan P. Garrahan, Robert L. Jack +2 · 8 citations
Materials Science · Physics and Astronomy · #Glass properties and applications #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.74.051501

published as Phys. Rev. E 74, 051501 (2006) · 10 pages, 8 figures, v3 has minor revisions

openalex publication_date 2006/11/02 · arxiv created 2006/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 lengthscales that necessarily form part of their definition. The behavior 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.

Citations

• Dynamical exchanges in facilitated models of supercooled liquids
• Dynamical Heterogeneity Close to the Jamming Transition in a Sheared Granular Material
• Glassy dynamics of kinetically constrained models
• Spatially Heterogeneous Dynamics in Supercooled Liquids

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