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arXiv 1205.0187cond-mat.soft
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利用互信息度量模型玻璃形成器的有序度

Using mutual information to measure order in model glass-formers

Andrew J. Dunleavy, Karoline Wiesner, C. Patrick Royall

摘要:

是否有增长的静态秩序伴随着动态的异质性和增加的松弛时间在玻璃体系中看到的是一个有争议的问题。解决这个问题的障碍是,该顺序预计是无定形的,因此不服从简单的序参量。我们使用互信息来提供对多粒子相关性敏感的阶的一般测量。我们将其应用到两个玻璃形成系统(2D的硬盘与不同的尺寸比的二元混合物,以提供不同量的六角有序),并表明,在没有结晶秩序的系统中,有一点无定形秩序的增长。在这两种情况下,我们测量的动态长度与四点关联函数,并发现它增加显着快于系统中的静态长度作为密度的增加。我们进一步表明,我们可以恢复已知的缩放的动力学约束模型,2-TLG的动态相关长度。

英文摘要:

Whether or not there is growing static order accompanying the dynamical heterogeneity and increasing relaxation times seen in glassy systems is a matter of dispute. An obstacle to resolving this issue is that the order is expected to be amorphous and so not amenable to simple order parameters. We use mutual information to provide a general measurement of order that is sensitive to multi-particle correlations. We apply this to two glass-forming systems (2D binary mixtures of hard disks with different size ratios to give varying amounts of hexatic order) and show that there is little growth of amorphous order in the system without crystalline order. In both cases we measure the dynamical length with a four-point correlation function and find that it increases significantly faster than the static lengths in the system as density is increased. We further show that we can recover the known scaling of the dynamic correlation length in a kinetically constrained model, the 2-TLG.

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