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arXiv 1006.0216cond-mat.soft
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准二维颗粒气体的扩散率和弱聚团

Diffusivity and Weak Clustering in a Quasi 2D Granular Gas

Centro de Investigación y de Estudios Avanzados del IPN(墨西哥国家研究中心);Universidad Autónoma de San Luis Potosí(圣路易斯波托西自治大学)

J. A. Perera-Burgos, G. Perez-Angel, Y. Nahmad-Molinari

摘要:

我们提出了一个准二维耗散颗粒状气体,保持在一个非凝聚的稳定状态,通过在粗糙的基板上的垂直振动的详细模拟结果。这种气体在其对分布函数(PDF)的尾部显示出弱的幂律衰减,表明分形,因此倾向于在几个尺寸尺度上形成集群。这种聚集单调地依赖于耗散系数,当球-球碰撞是保守的时,这种聚集消失。聚类也是敏感的包装分数。这种气体也显示出类似系统的标准非平衡特性,包括非麦克斯韦速度分布。扩散系数的计算在所有的条件下的模拟,它被发现,稀释的气体更扩散较小的恢复系数。

英文摘要:

We present results from a detailed simulation of a quasi-2D dissipative granular gas, kept in a non-condensed steady state via vertical shaking over a rough substrate. This gas shows a weak power-law decay in the tails of its Pair Distribution Functions (PDF's), indicating fractality and therefore a tendency to form clusters over several size scales. This clustering depends monotonically on the dissipation coefficient, and disappears when the sphere-sphere collisions are conservative. Clustering is also sensitive to the packing fraction. This gas also displays the standard nonequilibrium characteristics of similar systems, including non-Maxwellian velocity distributions. The diffusion coefficients are calculated over all the conditions of the simulations, and it is found that diluted gases are more diffusive for smaller restitution coefficients.

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