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摘要翻译：
我们考虑用非弹性麦克斯韦模型描述的质点系统的速度涨落。本工作将以往用于获得单粒子速度分布函数的方法推广到两粒子关联的研究。给出了均匀冷却过程和稳态驱动过程的结果。特别地，我们得到了均匀冷却过程标度区内的对关联函数的形式，并证明了它的一些矩是发散的。这一事实对模型的能量涨落行为有影响。
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英文标题：
《Velocity fluctuations in a one dimensional Inelastic Maxwell model》
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作者：
G.Costantini, U. Marini Bettolo Marconi, A. Puglisi
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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：
We consider the velocity fluctuations of a system of particles described by the Inelastic Maxwell Model. The present work extends the methods, previously employed to obtain the one-particle velocity distribution function, to the study of the two particle correlations. Results regarding both the homogeneous cooling process and the steady state driven regime are presented. In particular we obtain the form of the pair correlation function in the scaling region of the homogeneous cooling process and show that some of its moments diverge. This fact has repercussions on the behavior of the energy fluctuations of the model.
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PDF链接：
https://arxiv.org/pdf/708.2983
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