相关高斯介质中平均值的分布作为估计团簇大小分布的工具
Distribution of averages in a correlated Gaussian medium as a tool for the estimation of the cluster distribution on size
摘要：
针对不同的情况，计算了有限域中高斯随机场平均值的分布。计算结果表明，分布的宽度对场的空间相关性有很强的依赖性。与模拟结果的集群的大小分布的比较表明，平均场的分布可以作为一个有用的工具，用于估计的渐近行为的集群的大小分布的“深”集群的值在每个站点上的字段是远远大于均方根的混乱。
英文摘要：
Calculation of the distribution of the average value of a Gaussian random field in a finite domain is carried out for different cases. The results of the calculation demonstrate a strong dependence of the width of the distribution on the spatial correlations of the field. Comparison with the simulation results for the distribution of the size of the cluster indicates that the distribution of an average field could serve as a useful tool for the estimation of the asymptotic behavior of the distribution of the size of the clusters for "deep" clusters where value of the field on each site is much greater than the rms disorder.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
