A percolation model for slow dynamics in glass-forming materials

Abstract

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 $1/3\le \beta \le 1$ and the functional dependence of the structural relaxation time ${\tau }_{\alpha }$ and exponent $\beta$ on temperature, density, and wave number.

4 pages, 1 figure

References in corpus (3)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Caging dynamics in a granular fluid
• Anomalous diffusion and stretched exponentials in heterogeneous glass-forming liquids: Low-temperature behavior

Cited by in corpus (1)

• The glass transition of dense fluids of hard and compressible spheres