Abstract
To elucidate slow dynamics in glassy materials, we introduce the figure-8 model in which N hard blocks undergo Brownian motion around a circuit in the shape of a figure 8. This system undergoes kinetic arrest at a critical packing fraction ϕ = ϕ g <1 , and for ϕ ≈ ϕ g long-time diffusion is controlled by rare, cooperative, ” junction-crossing” particle rearrangements. We find that the average time between junction crossings τ JC , and hence the structural relaxation time, does not simply scale with the configurational volume Ω c of transition states, because τ JC also depends on the time to complete a junction crossing. The importance of these results in understanding cage-breaking dynamics in glassy systems is discussed.
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