Poisson Statistics in Distributions of Coalescing Droplets
Poisson Statistics in Distributions of Coalescing Droplets
复制标题
聚结液滴分布的泊松统计
DOI：
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发表时间：
1967
期刊：
影响因子：
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通讯作者：
W. T. Scott
中科院分区：
文献类型：
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作者：
W. T. Scott
摘要利用主函数讨论了按体积分布的云滴集合的统计行为，并可能讨论了云滴在空间中的位置。基本的考虑表明，泊松统计是正确的液滴的数量在小范围内的体积或其他参数，是一个很好的近似扩展范围。一个定理被证明有关的程度减少的相关性作为液滴收集的收益。给出了一个数学而不是物理兴趣的数值例子。
Abstract The statistical behavior of a collection of cloud droplets distributed by volume and possibly also with position in space is discussed by the use of master functions. Elementary considerations show that Poisson statistics are correct for the number of droplets in small ranges of volume or other parameters, and are a good approximation for extended ranges. A theorem is proved concerning the reduction in degree of correlation as droplet collection proceeds. A single numerical example of mathematical rather than physical interest is given.