摘要翻译：
讨论了两种颗粒气体模型的Green-Kubo关系。在任意维的麦克斯韦模型中，由Green-Kubo关系得到的有效温度与频率无关，等于平均动能，即颗粒温度。第二个模型是平均场颗粒气体，颗粒的碰撞速率与速度成正比。计算了该模型在高频极限下的Green-Kubo关系式，结果表明该极限下的有效温度等于颗粒温度。这一结果与前人的结果相结合，表明零频率下的有效温度（爱因斯坦关系式）与颗粒温度之间存在差异，表明颗粒气体的格林-久保关系式被违反。
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英文标题：
《Frequency-dependent fluctuation-dissipation relations in granular gases》
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作者：
Guy Bunin, Yair Shokef, and Dov Levine
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最新提交年份：
2008
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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：
  The Green-Kubo relation for two models of granular gases is discussed. In the Maxwell model in any dimension, the effective temperature obtained from the Green-Kubo relation is shown to be frequency independent, and equal to the average kinetic energy, known as the granular temperature. In the second model analyzed, a mean-field granular gas, the collision rate of a particle is taken to be proportional to its velocity. The Green-Kubo relation in the high frequency limit is calculated for this model, and the effective temperature in this limit is shown to be equal to the granular temperature. This result, taken together with previous results, showing a difference between the effective temperature at zero frequency (the Einstein relation) and the granular temperature, shows that the Green-Kubo relation for granular gases is violated.
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PDF链接：
https://arxiv.org/pdf/712.0779