Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-04-29
Phil. Mag. B 87, 425 (2007)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figures, Conference Proceedings for X International Workshop on Disordered Systems
Scientific paper
10.1080/14786430600851760
We create mechanically stable (MS) packings of bidisperse disks using an algorithm in which we successively grow or shrink soft repulsive disks followed by energy minimization until the overlaps are vanishingly small. We focus on small systems because this enables us to enumerate nearly all distinct MS packings. We measure the probability to obtain a MS packing at packing fraction $\phi$ and find several notable results. First, the probability is highly nonuniform. When averaged over narrow packing fraction intervals, the most probable MS packing occurs at the highest $\phi$ and the probability decays exponentially with decreasing $\phi$. Even more striking, within each packing-fraction interval, the probability can vary by many orders of magnitude. By using two different packing-generation protocols, we show that these results are robust and the packing frequencies do not change qualitatively with different protocols.
Blawzdziewicz Jerzy
Gao Guo-Jie
O'Hern Corey S.
No associations
LandOfFree
Enumeration of distinct mechanically stable disk packings in small systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Enumeration of distinct mechanically stable disk packings in small systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enumeration of distinct mechanically stable disk packings in small systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-298882