摘要翻译：
研究了由非弹性硬球或硬圆盘组成的颗粒流体在均匀冷却状态下的时效现象。由于n$-粒子分布函数的标度特性，从测量开始到现在，归一化两次相关函数的衰减随时间的延长而减缓。这一结果通过分子动力学模拟得到了证实。在低密度极限下，这种一致性也是定量的，并导出了时间相关函数的显式解析形式。本文的结果也支持了HCS作为n粒子Liouville方程解的存在性。
---
英文标题：
《Scaling and aging in the homogeneous cooling state of a granular fluid
  of hard particles》
---
作者：
J. J. Brey, A. Prados, M. I. Garcia de Soria and P. Maynar
---
最新提交年份：
2007
---
分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--

---
英文摘要：
  The presence of the aging phenomenon in the homogeneous cooling state (HCS) of a granular fluid composed of inelastic hard spheres or disks is investigated. As a consequence of the scaling property of the $N$-particle distribution function, it is obtained that the decay of the normalized two-time correlation functions slows down as the time elapsed since the beginning of the measurement increases. This result is confirmed by molecular dynamics simulations for the particular case of the total energy of the system. The agreement is also quantitative in the low density limit, for which an explicit analytical form of the time correlation function has been derived. The reported results also provide support for the existence of the HCS as a solution of the N-particle Liouville equation.
---
PDF链接：
https://arxiv.org/pdf/709.1035