Glassy behavior of the site frustrated percolation model

TL;DR

This paper investigates the slow, glass-like dynamics of a site frustrated percolation model, revealing how high density induces geometrically constrained, sluggish relaxation similar to glass-forming liquids.

Contribution

It introduces a detailed analysis of the dynamical properties of the site frustrated percolation model, highlighting its glassy behavior at high densities.

Findings

Autocorrelation functions show slow decay indicative of glassy dynamics.

Specific volume varies with cooling rate, demonstrating kinetic effects.

Mean square displacement indicates restricted particle mobility at high densities.

Abstract

The dynamical properties of the site frustrated percolation model are investigated and compared with those of glass forming liquids. When the density of the particles on the lattice becomes high enough, the dynamics of the model becomes very slow, due to geometrical constraints, and rearrangement on large scales is needed to allow relaxation. The autocorrelation functions, the specific volume for different cooling rates, and the mean square displacement are evaluated, and are found to exhibit glassy behavior.