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arXiv 0904.4850cond-mat.dis-nn
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非晶态系统的关联长度

Correlation length for amorphous systems

Jorge Kurchan, Dov Levine

摘要:

晶体和准晶体的特征可以由一个顺序,这是一个纯粹的几何性质的瞬时配置,独立于粒子动力学或相互作用。另一方面,玻璃表面上是颗粒的无定形排列。一个自然的和长期存在的问题是,它们是否也有某种形式的几何秩序,尽管是以一种隐藏的方式。在这里,我们定义了一个相干长度,适用于系统的特点是典型的无定形,以及那些传统上有序的。我们认为,这种长度的分歧是符合目前的理论的“理想”的玻璃化转变。

英文摘要:

Crystals and quasicrystals can be characterized by an order that is a purely geometric property of an instantaneous configuration, independent of particle dynamics or interactions. Glasses, on the other hand, are ostensibly amorphous arrangements of particles. A natural and long-standing question has been whether they too have, albeit in a hidden way, some form of geometric order. Here we define a coherence length that applies to systems which are typically characterized as amorphous, as well as to those that are conventionally ordered. We argue that the divergence of such a length is consistent with current theories of the `ideal' glass transition.

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