Disordered contact networks in jammed packings of frictionless disks
Disordered contact networks in jammed packings of frictionless disks
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无摩擦盘堵塞填料中的无序接触网络
DOI：
10.1088/1742-5468/2016/11/114002
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
B. Chakraborty
中科院分区：
文献类型：
--
作者：
K. Ramola;B. Chakraborty
本文分析了无摩擦软圆盘填料在非阻塞过渡区附近形成的接触网络的性质。我们构建多边形平铺和三角剖分的接触网络，分区空间成凸区域，要么覆盖或未覆盖。这使我们能够使用定义良好的几何对象来表征过渡附近的包装的局部空间结构。我们构造边界上的多边形和三角形向量，出现在这样的包装。我们研究这些网络使用模拟的双分散磁盘通过单边线性弹簧势相互作用。我们发现，几个基本的几何分布是可重复的，并显示自平均属性。我们发现，总覆盖面积是一个可靠的真实的空间参数，可以作为替代的包装分数。我们发现，非干扰过渡发生在覆盖面积的一小部分AG_∞ =0.446（1）。我们确定了当系统能量趋近于零EG→0+，配位数趋近于均衡值ΔZ=<$zg <$− <$zg <$iso→0+时，超额覆盖面积的标度指数。我们发现ΔAG <$Δ EG 0.28（1）和ΔAG <$Δ Z 1.00（1）代表新的结构临界指数。我们使用局部区域的分布函数来研究潜在的几何无序的包装。我们发现，一个有限的分数阶为<$O <$=0.369（1）持续接近过渡。
We analyse properties of contact networks formed in packings of soft frictionless disks near the unjamming transition. We construct polygonal tilings and triangulations of the contact network that partitions space into convex regions which are either covered or uncovered. This allows us to characterize the local spatial structure of the packing near the transition using well-defined geometric objects. We construct bounds on the number of polygons and triangulation vectors that appear in such packings. We study these networks using simulations of bidispersed disks interacting via a one-sided linear spring potential. We find that several underlying geometric distributions are reproducible and display self averaging properties. We find that the total covered area is a reliable real space parameter that can serve as a substitute for the packing fraction. We find that the unjamming transition occurs at a fraction of covered area AG∗=0.446(1). We determine scaling exponents of the excess covered area as the energy of the system approaches zero EG→0+, and the coordination number 〈zg〉 approaches its isostatic value ΔZ=〈zg〉−〈zg〉iso→0+. We find ΔAG∼ΔEG0.28(1) and ΔAG∼ΔZ1.00(1), representing new structural critical exponents. We use the distribution functions of local areas to study the underlying geometric disorder in the packings. We find that a finite fraction of order ΨO∗=0.369(1) persists as the transition is approached.
粒状统计力学中体积函数的失败和替代公式。
影响因子：
8.6
作者：
Blumenfeld R
通讯作者：
Blumenfeld R