摘要翻译：
我们研究了被驱动颗粒气体的动力学理论，同时考虑了平移和旋转两个自由度。我们得到了定常二元能量分布的高能尾，它依赖于总能量E和转动能E_w与总能量之比X=SQRT{E_w/E}。极高能粒子有一个独特而明确的分布f(x)，它有几个显著的特征：x不像分子气体那样均匀分布；f(x)不是光滑的，而是有多个奇点。后者对碰撞参数、转动惯量和碰撞速率等材料性质敏感。有趣的是，旋转能量与总能量之比是有优势的。一般情况下，f(x)与能量密切相关，偏离均匀分布的偏差随能量的增加而增大。我们还求解了自由冷却麦克斯韦分子的能量分布，并发现了定性相似的行为。
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英文标题：
《Singular Energy Distributions in Granular Media》
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作者：
E. Ben-Naim and A. Zippelius
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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：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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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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英文摘要：
  We study the kinetic theory of driven granular gases, taking into account both translational and rotational degrees of freedom. We obtain the high-energy tail of the stationary bivariate energy distribution, depending on the total energy E and the ratio x=sqrt{E_w/E} of rotational energy E_w to total energy. Extremely energetic particles have a unique and well-defined distribution f(x) which has several remarkable features: x is not uniformly distributed as in molecular gases; f(x) is not smooth but has multiple singularities. The latter behavior is sensitive to material properties such as the collision parameters, the moment of inertia and the collision rate. Interestingly, there are preferred ratios of rotational-to-total energy. In general, f(x) is strongly correlated with energy and the deviations from a uniform distribution grow with energy. We also solve for the energy distribution of freely cooling Maxwell Molecules and find qualitatively similar behavior.
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PDF链接：
https://arxiv.org/pdf/704.152