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 (10)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture II: Intermediate Scattering Function and Dynamic Susceptibility
• Models of traps and glass phenomenology
• Dynamical Heterogeneity close to the Jamming Transition in a Sheared Granular Material
• Subdiffusion and the cage effect studied near the colloidal glass transition
• Hopping in a Supercooled Lennard-Jones Liquid: Metabasins, Waiting Time Distribution, and Diffusion
• Caging dynamics in a granular fluid
• Random close packing revisited: How many ways can we pack frictionless disks?
• Connected Network of Minima as a Model Glass: Long Time Dynamics
• Anomalous diffusion and stretched exponentials in heterogeneous glass-forming liquids: Low-temperature behavior

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• The glass transition of dense fluids of hard and compressible spheres
• Random Close Packing of Disks and Spheres in Confined Geometries
• Spin-glass behavior in Ni-doped La1:85Sr0:15CuO4
• Bifurcation of Stretched Exponential Relaxation in Microscopically Homogeneous Glasses
• Protein folding on rugged energy landscapes: Conformational diffusion on fractal networks
• Alternative criterion for two-dimensional wrapping percolation
• Dynamic Simulation of Random Packing of Polydispersive Fine Particles
• Influence of the Long-Range Forces in Non-Gaussian Random-Packing Dynamics
• Effects of the long-range cohesive forces in binary particle packing dynamics