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arXiv 0903.4380cond-mat.softcond-mat.stat-mech
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受限硬盘的完整干扰图

The Complete Jamming Landscape of Confined Hard Discs

S. S. Ashwin, Richard k. Bowles

摘要:

一个完整的干扰景观的精确描述是为一个系统的硬盘直径$σ$,被限制在两条线分开的距离$1+\sqrt{3/4} < H/σ< 2$。通过考虑所有可能的局部堆积排列,利用转移矩阵方法得到了堵塞态的广义系综配分函数,从而计算了堆积的组态熵和状态方程.探索结构有序性与堆积密度之间的关系,我们发现局部堆积环境之间的几何挫折在决定堵塞态的密度分布中起着重要的作用,结构的“随机性”是堆积密度的非单调函数.分子动力学模拟表明,平衡液体的性质与景观的性质密切相关。

英文摘要:

An exact description of the complete jamming landscape is developed for a system of hard discs of diameter $σ$, confined between two lines separated by a distance $1+\sqrt{3/4} < H/σ< 2$. By considering all possible local packing arrangements, the generalized ensemble partition function of jammed states is obtained using the transfer matrix method, which allows us to calculate the configurational entropy and the equation of state for the packings. Exploring the relationship between structural order and packing density, we find that the geometric frustration between local packing environments plays an important role in determining the density distribution of jammed states and that structural "randomness" is a non-monotonic function of packing density. Molecular dynamics simulations show that the properties of the equilibrium liquid are closely related to those of the landscape.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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