Relation between structure of blocked clusters and relaxation dynamics in kinetically constrained models

Eial Teomy, Yair Shokef

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7 Scopus citations

Abstract

We investigate the relation between the cooperative length and relaxation time, represented, respectively, by the culling time and the persistence time, in the Fredrickson-Andersen, Kob-Andersen, and spiral kinetically constrained models. By mapping the dynamics to diffusion of defects, we find a relation between the persistence time, τp, which is the time until a particle moves for the first time, and the culling time, τc, which is the minimal number of particles that need to move before a specific particle can move, τp=τcγ, where γ is model- and dimension-dependent. We also show that the persistence function in the Kob-Andersen and Fredrickson-Andersen models decays subexponentially in time, P(t)=exp-t/τβ, but unlike previous works, we find that the exponent β appears to decay to 0 as the particle density approaches 1.

Original languageEnglish
Article number032133
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number3
DOIs
StatePublished - 24 Sep 2015

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