Excitations of ellipsoid packings near jamming
Excitations of ellipsoid packings near jamming
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DOI：
10.1209/0295-5075/87/26001
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发表时间：
2009-04
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通讯作者：
Z. Zeravcic;N. Xu;A. Liu;S. Nagel;W. V. S. I. Lorentz;Leiden University;The Netherlands.;James Franck Institute;D. Physics;U. Chicago;I. Chicago;Astronomy;U. Pennsylvania;P. Philadelphia
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文献类型：
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作者：
Z. Zeravcic;N. Xu;A. Liu;S. Nagel;W. V. S. I. Lorentz;Leiden University;The Netherlands.;James Franck Institute;D. Physics;U. Chicago;I. Chicago;Astronomy;U. Pennsylvania;P. Philadelphia
本文研究了旋转软椭球体三维堵塞填料的振动模式随颗粒长径比ε和填充率的变化。在椭球的干扰过渡处，与使用ε=1的球体的理想情况不同，存在许多无约束和非平凡的旋转自由度。这些构成了一组零频率模式，这些模式逐渐移动到新的旋转带中，|ε-1|增大非常令人惊讶的是，由于这个新的频带通过间隙与零频率分离，并且低于平移振动的起始频率ω*，这些新的自由度的存在使得平移谱仅由平均接触数确定的基本情况不变。事实上，ω* 仅取决于配位，就像它对球体的压缩填充一样。我们还讨论了大规模的|ε-1|，两个带合并的地方。
We study the vibrational modes of three-dimensional jammed packings of soft ellipsoids of revolution as a function of particle aspect ratio ε and packing fraction. At the jamming transition for ellipsoids, as distinct from the idealized case using spheres where ε=1, there are many unconstrained and nontrivial rotational degrees of freedom. These constitute a set of zero-frequency modes that are gradually mobilized into a new rotational band as |ε-1| increases. Quite surprisingly, as this new band is separated from zero frequency by a gap, and lies below the onset frequency for translational vibrations, ω*, the presence of these new degrees of freedom leaves unaltered the basic scenario that the translational spectrum is determined only by the average contact number. Indeed, ω* depends solely on coordination as it does for compressed packings of spheres. We also discuss the regime of large |ε-1|, where the two bands merge.