低密度流体的非泊松统计
Non Poissonian statistics in a low density fluid
摘要：
我们的兴趣是研究任意相互作用流体中的碰撞统计。我们表明，即使在低密度的限制和天真的期望相反，在给定的时间内所经历的标记粒子的碰撞数不服从泊松定律，相反，自由飞行时间分布不是一个简单的指数。作为例子，详细计算了硬球流体的情况。对于这个模型，我们量化分析这些偏差，并成功地比较我们的预测对分子动力学模拟。
英文摘要：
Our interest goes to the collisional statistics in an arbitrary interacting fluid. We show that even in the low density limit and contrary to naive expectation, the number of collisions experienced by a tagged particle in a given time does not obey Poisson law, and that conversely, the free flight time distribution is not a simple exponential. As an illustration, the hard sphere fluid case is worked out in detail. For this model, we quantify analytically those deviations and successfully compare our predictions against molecular dynamics simulations.
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