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

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.

References in corpus (2)

• Caging dynamics in a granular fluid
• Anisotropic spatially heterogeneous dynamics in a model glass-forming binary mixture

Cited by in corpus (2)

• A Free Energy Landscape for Cage Breaking of Three Hard Disks
• How the overlap of excluded volume determines the configurational energy landscape and "thermodynamics" in the "one to five hard disks in a box" system