English

Binary mixture of hard disks as a model glass former: Caging and uncaging

Disordered Systems and Neural Networks 2015-05-30 v1

Abstract

I have proposed a measure for the cage effect in glass forming systems. A binary mixture of hard disks is numerically studied as a model glass former. A network is constructed on the basis of the colliding pairs of disks. A rigidity matrix is formed from the isostatic (rigid) sub--network, corresponding to a cage. The determinant of the matrix changes its sign when an uncaging event occurs. Time evolution of the number of the uncaging events is determined numerically. I have found that there is a gap in the uncaging timescales between the cages involving different numbers of disks. Caging of one disk by two neighboring disks sustains for a longer time as compared with other cages involving more than one disk. This gap causes two--step relaxation of this system.

Keywords

Cite

@article{arxiv.1108.5523,
  title  = {Binary mixture of hard disks as a model glass former: Caging and uncaging},
  author = {Sin-iti Sirono},
  journal= {arXiv preprint arXiv:1108.5523},
  year   = {2015}
}