Glass Transition in a 2D Lattice Model
Statistical Mechanics
2009-10-31 v1
Abstract
The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling process terminates at a glassy phase with a limiting coverage density \rho_{rcp}=0.171626(3), lower than the density of closest packing \rho_{cp}=0.2, and the long time filling rate vanishes like (\rho_{rcp}-\rho(t))^2. For the entire density regime the particles form an amorphous phase, devoid of any crystalline order. Therefore, the model supports a stable random packing state, as opposed to the hard disks system. Our results may be relevant to recent experiments studying the clustering of proteins on bilayer lipid membranes.
Cite
@article{arxiv.cond-mat/9910128,
title = {Glass Transition in a 2D Lattice Model},
author = {E. Eisenberg and A. Baram},
journal= {arXiv preprint arXiv:cond-mat/9910128},
year = {2009}
}