A percolation model for slow dynamics in glass-forming materials

Details A percolation model for slow dynamics in glass-forming materials A percolation model for slow dynamics in glass-forming materials

2008-09-05

arxiv.org/abs/0809.1044v1

Phys. Rev. Lett. 102, 015702 (2009).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.102.015702

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 $1/3 \leq \beta \leq 1$ and the functional dependence of the structural relaxation time $\tau_\alpha$ and exponent $\beta$ on temperature, density, and wave number.

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