Lengthscale dependence of dynamic four-point susceptibilities in glass formers
David Chandler, Juan P. Garrahan, Robert L. Jack, Lutz Maibaum, Albert C. Pan
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.
Create a lesson
Related papers
Chemical potentials from structure factors: II. Charged multi-component mixtures
Xiaoyu Wang, Roya Savoj, Musahid Ahmed et al.
Asymmetry-controlled resonant transport in a Brownian flashing ratchet
Sudipta Mandal, Dipanjan Chakraborty, Debasish Chaudhuri
Branching stochastic mechanics. I. Clustering and connected correlations within a branching-process representation of the Schrödinger equation
Eric Dumonteil, Benoît Bischoff, Alain Letourneau et al.
Representation Transitions Reveal Predictive Structure in Complex Systems: A Trajectory-Level Reconstruction in a Critical System
Jiaqi Pan
Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder
Rodolfo Rocha, Leticia F. Cugliandolo, Marco Picco
Ornstein-Uhlenbeck Process Driven by Multiple Dichotomous Noises
Silvio Kalaj, Dongho Lee, Enzo Marinari et al.