论文标题
一维通道中硬盘的略微堵塞状态
Marginally jammed states of hard disks in a one-dimensional channel
论文作者
论文摘要
我们已经在狭窄的通道中的硬盘系统中研究了一类边缘堵塞的状态---一个准二维系统 - 它们的指数不是在无限尺寸限制中有效的理论预测的指数。描述小差距的分布的指数$γ$将值$ 1 $而不是无限尺寸值$ 0.41269 \点$。我们的作品表明，在阿什温（Ashwin）和鲍尔斯（Bowles）的平铺方法中没有发现困扰的国家。这些边际状态中最密集的是渐近结晶的异常物质状态。
We have studied a class of marginally jammed states in a system of hard disks confined in a narrow channel---a quasi-one-dimensional system---whose exponents are not those predicted by theories valid in the infinite dimensional limit. The exponent $γ$ which describes the distribution of small gaps takes the value $1$ rather than the infinite dimensional value $0.41269\dots$. Our work shows that there exist jammed states not found within the tiling approach of Ashwin and Bowles. The most dense of these marginal states is an unusual state of matter that is asymptotically crystalline.
