Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-10-08
Jour. Phys. A 33, 1729 (2000)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1088/0305-4470/33/9/302
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.
Baram Asher
Eisenberg Eli
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