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复合材料系统的互相关特性。

The cross correlation properties of composite systems.

机构信息

College of Information Science and Engineering, Huaqiao University, Xiamen, 361021, People's Republic of China.

出版信息

Sci Rep. 2018 Jan 22;8(1):1297. doi: 10.1038/s41598-017-18135-x.

DOI:10.1038/s41598-017-18135-x
PMID:29358723
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5778039/
Abstract

A new method is presented for characterizing cross correlations in composite systems described by a couple of time-dependent random variables. This method is based on (i) rescaling the time derivatives of the variables to make their variances unity and then (ii) recombining these rescaled variables into their sum and difference. This manipulation enables one to express the joint probability distribution function in a peculiar way. It is also found that the entropy of composite systems is not equal to the sum of entropy of each subsystem because of the cross correlations.

摘要

本文提出了一种新方法，用于描述由几个时变随机变量描述的组合系统的交叉相关性。该方法基于（i）重新缩放变量的时间导数以使它们的方差为 1，然后（ii）将这些重新缩放的变量组合成它们的和与差。这种操作使得可以以特殊的方式表达联合概率分布函数。还发现由于交叉相关性，复合系统的熵不等于每个子系统的熵的总和。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/e35bacf7af91/41598_2017_18135_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/a68ba8503290/41598_2017_18135_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/36fc56d51fb9/41598_2017_18135_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/ce141eb1c349/41598_2017_18135_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/e35bacf7af91/41598_2017_18135_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/a68ba8503290/41598_2017_18135_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/36fc56d51fb9/41598_2017_18135_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/ce141eb1c349/41598_2017_18135_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ac99/5778039/e35bacf7af91/41598_2017_18135_Fig4_HTML.jpg

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1
Diffusive and Arrestedlike Dynamics in Currency Exchange Markets.货币兑换市场中的扩散与类停滞动力学
Phys Rev Lett. 2017 Feb 10;118(6):068301. doi: 10.1103/PhysRevLett.118.068301.
2
Dynamics of a Ground-State Cooled Ion Colliding with Ultracold Atoms.基态冷却离子与超冷原子碰撞的动力学
Phys Rev Lett. 2016 Dec 9;117(24):243401. doi: 10.1103/PhysRevLett.117.243401. Epub 2016 Dec 7.
3
Experimental Validation of a Nonextensive Scaling Law in Confined Granular Media.受限颗粒介质中一个非广延标度律的实验验证
Phys Rev Lett. 2015 Dec 4;115(23):238301. doi: 10.1103/PhysRevLett.115.238301. Epub 2015 Dec 1.
4
Nonadditive entropies yield probability distributions with biases not warranted by the data.非加性熵产生的概率分布存在偏差，而这些偏差是没有数据支持的。
Phys Rev Lett. 2013 Nov 1;111(18):180604. doi: 10.1103/PhysRevLett.111.180604.
5
Power-law distributions for a trapped ion interacting with a classical buffer gas.与经典缓冲气体相互作用的捕获离子的幂律分布。
Phys Rev Lett. 2009 Feb 13;102(6):063001. doi: 10.1103/PhysRevLett.102.063001. Epub 2009 Feb 10.
6
Scale invariance of human electroencephalogram signals in sleep.睡眠中人类脑电图信号的尺度不变性
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Dec;76(6 Pt 1):061903. doi: 10.1103/PhysRevE.76.061903. Epub 2007 Dec 5.
7
Analysis of self-organized criticality in the Olami-Feder-Christensen model and in real earthquakes.奥拉米-费德-克里斯滕森模型及真实地震中的自组织临界性分析。
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 2):055101. doi: 10.1103/PhysRevE.75.055101. Epub 2007 May 14.
8
Option pricing formulas based on a non-Gaussian stock price model.基于非高斯股票价格模型的期权定价公式。
Phys Rev Lett. 2002 Aug 26;89(9):098701. doi: 10.1103/PhysRevLett.89.098701. Epub 2002 Aug 7.
9
Zipf distribution of U.S. firm sizes.美国公司规模的齐普夫分布。
Science. 2001 Sep 7;293(5536):1818-20. doi: 10.1126/science.1062081.
10
Statistical-mechanical foundation of the ubiquity of Lévy distributions in Nature.自然界中 Lévy 分布普遍存在的统计力学基础。
Phys Rev Lett. 1995 Nov 13;75(20):3589-3593. doi: 10.1103/PhysRevLett.75.3589.