We identify a link between the glass transition and percolation of mobile regions in configuration space. We find that many hallmarks of glassy dynamics, for example stretched-exponential response functions and a diverging structural relaxation time, are consequences of the critical properties of mean-field percolation. Specific predictions of the percolation model include the range of possible stretching exponents 1/3≤β≤1 and the functional dependence of the structural relaxation time τα and exponent β on temperature, density, and wave number.
@article{arxiv.0809.1044,
title = {A percolation model for slow dynamics in glass-forming materials},
author = {Gregg Lois and Jerzy Blawzdziewicz and Corey S. O'Hern},
journal= {arXiv preprint arXiv:0809.1044},
year = {2009}
}