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The Relation Between the Structure of Blocked Clusters and the Relaxation Dynamics in Kinetically-constrained Models by Teomy, Eial; Shokef, Yair is a scholarly article available to read on EtoBox.

What is The Relation Between the Structure of Blocked Clusters and the Relaxation Dynamics in Kinetically-constrained Models about?

We investigate the relation between the cooperative length and the 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, $\tau_{p}$, which is the time until a particle moves for the first time, and the culling time, $\tau_{c}$, which is the minimal number of particles that need to move before a specific particle can move, $\tau_{p}=\tau^{\gamma}_{c}$, where $\gamma$ is model- and dimension dependent. We also show that the persistence function in the Kob-Andersen and Fredrickson-Andersen models decays subexponentially in time, $P(t)=exp[-(t/\tau)^{\beta}]$, but unlike previous works we find that the exponent $\beta$ appears to decay to 0 as the particle density approaches 1.

Author

Teomy, Eial; Shokef, Yair

Published

2015

Language

EN