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Fluctuations and Shape of Cooperative Rearranging Regions in Glass-Forming Liquids

机译：玻璃形成液中协同重排区域的波动和形状

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We develop a theory of amorphous interfaces in glass-forming liquids. We show that the statistical properties of these surfaces, which separate regions characterized by different amorphous arrangements of particles, coincide with the ones of domain walls in the random field Ising model. A major consequence of our results is that supercooled liquids are characterized by two different static lengths: the point-to-set ξ PS , which is a measure of the spatial extent of cooperative rearranging regions, and the wandering length ξ ⊥ , which is related to the fluctuations of their shape. We find that ξ ⊥ grows when approaching the glass transition but slower than ξ PS . The wandering length increases as s c ? 1 / 2 , where s c is the configurational entropy. Our results strengthen the relationship with the random field Ising model found in recent works. They are in agreement with previous numerical studies of amorphous interfaces and provide a theoretical framework for explaining numerical and experimental findings on pinned particle systems and static lengths in glass-forming liquids.
机译：我们开发了一种在玻璃形成液体中无定形界面的理论。我们表明，这些表面的统计特性（其区域以不同的非晶排列形式为特征）与随机场Ising模型中的畴壁相吻合。我们的结果的主要结果是，过冷液体的特征在于两种不同的静态长度：点对集ξPS（它是对协同重排区域的空间范围的度量）和漂移长度ξis与相关形状的波动。我们发现ξ⊥在接近玻璃化转变时会增长，但比ξPS慢。漂移长度随着s c？的增加而增加。 1/2，其中s c是配置熵。我们的结果加强了与最近工作中发现的随机场Ising模型的关系。它们与以前对无定形界面的数值研究相一致，并提供了理论框架来解释关于固定颗粒系统和玻璃形成液体中的静态长度的数值和实验结果。

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