Two-Time Correlations for Probing the Aging Dynamics of Jammed Colloids

TL;DR

This study investigates the aging dynamics of jammed 2D colloids through simulations, revealing hyperbolic deceleration of irreversible events and demonstrating that record dynamics explains the observed two-time displacement behavior.

Contribution

The paper introduces a simple criterion for irreversible events, links aging behavior to record dynamics, and validates this with an on-lattice model that reproduces experimental results.

Findings

Irreversible event rate decelerates hyperbolically.

Displacement distributions show two-time dependence and data collapse.

Record dynamics effectively explains aging behavior.

Abstract

We present results for the aging dynamics of a jammed 2D colloidal system obtained with molecular dynamics simulations. We performed extensive simulations to gather detailed statistics about rare rearrangement events. With a simple criterion for identifying irreversible events based on Voronoi tessellations, we find that the rate of those events decelerates hyperbolically. We track the probability density function for particle displacements, the van-Hove function, with sufficient statistics as to reveal its two-time dependence that is indicative of aging. Those displacements, measured from a waiting time $t_{w}$ after the quench up to times $t=t_{w}+\Delta t$, exhibit a data collapse as a function of $\Delta t/t_{w}$. These findings can be explained comprehensively as manifestations of "record dynamics", i.e., a relaxation dynamic driven by record-breaking fluctuations. We show that an on-lattice model of a colloid that was built on record dynamics indeed reproduces the experimental results in great detail.