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arXiv 0808.2186cond-mat.softcond-mat.dis-nn
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Jamming I:一种用于堵塞物质的音量功能

Jamming I: A volume function for jammed matter

Chaoming Song, Ping Wang, Yuliang Jin, Hernan A. Makse

摘要:

我们引入了一个“汉密尔顿”的功能,称为体积函数,不可或缺的描述合奏堵塞的物质,如颗粒材料和乳液从几何的角度来看。体积函数表示堵塞系统中每个颗粒的可用体积。在微观层面上,我们表明,体积函数是Voronoi体积相关联的每个粒子,反过来,我们提供了一个分析公式的Voronoi体积的接触网络,适用于任何尺寸。然后,我们开发了一个统计理论的概率分布的体积在三维计算平均体积函数粗粒度在介观水平。显着的结果是发现了一个介观体积函数成反比的配位数。我们的分析是第一步的宏观可观测量和状态方程的计算使用的统计力学堵塞的物质,当补充的机械平衡的条件,适当地定义堵塞的物质在合奏水平。

英文摘要:

We introduce a "Hamiltonian"-like function, called the volume function, indispensable to describe the ensemble of jammed matter such as granular materials and emulsions from a geometrical point of view. The volume function represents the available volume of each particle in the jammed systems. At the microscopic level, we show that the volume function is the Voronoi volume associated to each particle and in turn we provide an analytical formula for the Voronoi volume in terms of the contact network, valid for any dimension. We then develop a statistical theory for the probability distribution of the volumes in 3d to calculate an average volume function coarse-grained at a mesoscopic level. The salient result is the discovery of a mesoscopic volume function inversely proportional to the coordination number. Our analysis is the first step toward the calculation of macroscopic observables and equations of state using the statistical mechanics of jammed matter, when supplemented by the condition of mechanical equilibrium of jamming that properly defines jammed matter at the ensemble level.

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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