Jamming in two-dimensional packings

被引:40
作者
Meyer, Sam [3 ]
Song, Chaoming [1 ,2 ]
Jin, Yuliang [1 ,2 ]
Wang, Kun [1 ,2 ]
Makse, Hernan A. [1 ,2 ]
机构
[1] CUNY City Coll, Levich Inst, New York, NY 10031 USA
[2] CUNY City Coll, Dept Phys, New York, NY 10031 USA
[3] Univ Lyon, CNRS, Phys Lab, ENS Lyon,UMR 5672, Lyon, France
基金
美国国家科学基金会;
关键词
Random packings; Volume function; Disordered system;
D O I
10.1016/j.physa.2010.07.030
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach - based on several approximations to predict the probability distribution of volumes - suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two-dimensional systems. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:5137 / 5144
页数:8
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