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arXiv 0812.1234cond-mat.softcond-mat.stat-mech
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无干扰椭圆粒子系统的干扰

Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles

Mitch Mailman, Carl F. Schreck, Corey S. O'Hern, Bulbul Chakraborty

摘要:

我们研究了堵塞的椭圆填料的结构和力学性质,发现这些系统中的堵塞过渡的性质是根本不同的球形颗粒。椭圆形填充是一种具有比约束多的自由度的实体填充。低能激发谱在一定的长径比范围内具有两个能隙和三个不同的分支。在零压缩极限下,最低支模的能量随变形幅度{ \it四次方}增加,态密度在零频率下具有$δ$函数.我们确定的缩放关系,崩溃的低频部分的频谱不同的纵横比。最后,我们发现实静性的程度取决于堆积的四次模的数目。

英文摘要:

We study the structural and mechanical properties of jammed ellipse packings, and find that the nature of the jamming transition in these systems is fundamentally different from that for spherical particles. Ellipse packings are generically hypostatic with more degrees of freedom than constraints. The spectra of low energy excitations possess two gaps and three distinct branches over a range of aspect ratios. In the zero compression limit, the energy of the modes in the lowest branch increases {\it quartically} with deformation amplitude, and the density of states possesses a $δ$-function at zero frequency. We identify scaling relations that collapse the low-frequency part of the spectra for different aspect ratios. Finally, we find that the degree of hypostaticity is determined by the number of quartic modes of the packing.

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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