动力学阻滞的极小模型
A minimal model for kinetic arrest
摘要：
为了阐明玻璃材料中的慢动力学，我们引入了{ \it Figure-8模型}，其中$N$硬块围绕一个Figure-8形状的电路进行布朗运动。该系统经历动力学逮捕在一个关键的包装分数$ϕ=ϕ_g < 1$，并为$ϕ\approxϕ_g$长时间扩散控制罕见的，合作的“交界处交叉”粒子重排。我们发现，结交叉点之间的平均时间$τ_{JC}$，因此结构弛豫时间，不简单地与过渡态的构型体积$\OmegaLow$的比例，因为$τ_{JC}$也取决于完成一个结交叉的时间。这些结果的重要性，在理解玻璃体系中的破笼动力学进行了讨论。
英文摘要：
To elucidate slow dynamics in glassy materials, we introduce the {\it 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 $ϕ\approxϕ_g$ 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 $\OmegaLow$ 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
