论文标题
关于低密度硬球的碰撞簇的基数
On the cardinality of collisional clusters for hard spheres at low density
论文作者
论文摘要
我们恢复了调查，始于Arxiv：1408.6571，介绍了落后簇的统计数据，其气体为$ n $ hard Shard of小直径$ \ VAREPSILON $。向后簇定义为直接或间接参与给定标记球体的向后动力学的粒子组。我们获得了群集平均基数相对于平衡度量的平均基数，全球时间，$ \ varepsilon，n $，n $，n $ for $ \ varepsilon^2 n = 1 $（Boltzmann-Grad制度）。
We resume the investigation, started in arXiv:1408.6571, of the statistics of backward clusters in a gas of $N$ hard spheres of small diameter $\varepsilon$. A backward cluster is defined as the group of particles involved directly or indirectly in the backwards-in-time dynamics of a given tagged sphere. We obtain an estimate of the average cardinality of clusters with respect to the equilibrium measure, global in time, uniform in $\varepsilon, N$ for $\varepsilon^2 N=1$ (Boltzmann-Grad regime).
