English

Correlation length for amorphous systems

Disordered Systems and Neural Networks 2009-05-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0904.4850,
  title  = {Correlation length for amorphous systems},
  author = {Jorge Kurchan and Dov Levine},
  journal= {arXiv preprint arXiv:0904.4850},
  year   = {2009}
}
R2 v1 2026-06-21T12:56:55.916Z