Ensemble processing and the global characterization of temporal and spatial fluctuations.
Ensemble processing and the global characterization of temporal and spatial fluctuations.
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集合处理和时空波动的全局表征。
DOI：
10.1103/physreva.39.1376
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
Inoue
中科院分区：
文献类型：
--
作者：
Fujisaka;Inoue
从集成处理的角度重新考虑了以特征函数λ q为中心的针对时空波动全局表征的波动谱理论。构造了阶q系综处理，以提取变量q的统计方面特征。量α (q)[≡d (q λ q)/dq]表示被处理系综中波动的平均值。处理程度的无限小变化的磁化率χ q[≡dα (q)/dq]决定了被处理系综涨落的渐近概率密度。
The fluctuation-spectrum theory aiming at the global characterization of temporal and spatial fluctuations, where the characteristic function λ q plays the central role, is reconsidered from the ensemble-processing viewpoint. The order-q ensemble processing is constructed so as to extract the statistical-aspect characteristic of the variable q. The quantity α (q)[≡ d (q λ q)/dq] is shown to be the average of the fluctuations in the processed ensemble. The susceptibility χ q [≡ dα (q)/dq] for the infinitesimal change of the degree of processing turns out to determine the asymptotic probability density of fluctuations in the processed ensemble.