Dynamic percolation and Slow Relaxation in Glass-like Materials

TL;DR

This paper introduces a dynamic percolation model to explain the slow relaxation and two-step relaxation phenomena observed in glass-like materials, emphasizing the role of dynamically correlated clusters.

Contribution

It presents a novel dynamic percolation framework that accounts for the slow relaxation behavior in glass-like systems, incorporating size-dependent relaxation times.

Findings

Reproduces the two-step relaxation process observed experimentally.

Predicts the divergence of relaxation times near the dynamic transition.

Highlights the significance of dynamic correlations in glassy dynamics.

Abstract

Glass-like materials are nonequilibrium systems where the relaxation time may exceed reasonable time scales of observations. In the present paper a dynamic percolation model is introduced in order to explain the principal properties of glass-like materials near the dynamic transition. Here, contrary to conventional percolation problems, clusters are groups of particles dynamically correlated. Introducing a size dependent relaxation time and the scaling hypothesis for the distribution of dynamically correlated clusters the two step relaxation predicted by the mode coupling theory and observed in experiments is obtained.