摘要翻译：
研究了自由冷却颗粒气体中速度、切应力和热流密度的电流自相关函数的长时间行为。结果表明，速度和切应力的相关函数具有长时间尾，服从$\tau^{-d/2}$,而热流密度的相关函数随无量纲冷却速率$\zeta^*$,空间维数$d$和标度时间$tau$而衰减为$\tau^{-(d+2)/2}exp(-\zeta^*\tau)$。对自由冷却颗粒气体的数值模拟结果与理论预测一致。
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英文标题：
《Long-time tails in freely cooling granular gases》
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作者：
Hisao Hayakawa and Michio Otsuki
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最新提交年份：
2007
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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
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
  The long-time behavior of the current auto-correlation functions for the velocity, the shear stress and the heat flux is investigated in freely cooling granular gases. It is found that the correlation functions for the velocity and the shear stress have the long-time tails obeying $\tau^{-d/2}$, while the correlation function of heat flux decays as $\tau^{-(d+2)/2} \exp(-\zeta^* \tau)$ with the dimensionless cooling rate $\zeta^*$, the spatial dimension $d$ and the scaled time $\tau$ in terms of the collision frequency. The result of our numerical simulation of the freely cooling granular gases is consistent with the theoretical prediction.
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PDF链接：
https://arxiv.org/pdf/706.3956