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Minimal model for kinetic arrest Export

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 78, No. 1. (2008)

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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 =g<1, and for g long-time diffusion is controlled by rare, cooperative, “junction-crossing” particle rearrangements. We find that the average time between junction crossings JC, and hence the structural relaxation time, does not simply scale with the configurational volume c of transition states, because 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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