The cross correlation properties of composite systems

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 v...

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Autores principales:	Zhifu Huang, Shuqing Zheng
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/99c419cc8d3d42a08388d05d684bcc28
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spelling	oai:doaj.org-article:99c419cc8d3d42a08388d05d684bcc282021-12-02T15:08:04ZThe cross correlation properties of composite systems10.1038/s41598-017-18135-x2045-2322https://doaj.org/article/99c419cc8d3d42a08388d05d684bcc282018-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-18135-xhttps://doaj.org/toc/2045-2322Abstract 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.Zhifu HuangShuqing ZhengNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-6 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Zhifu Huang Shuqing Zheng The cross correlation properties of composite systems
description	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.
format	article
author	Zhifu Huang Shuqing Zheng
author_facet	Zhifu Huang Shuqing Zheng
author_sort	Zhifu Huang
title	The cross correlation properties of composite systems
title_short	The cross correlation properties of composite systems
title_full	The cross correlation properties of composite systems
title_fullStr	The cross correlation properties of composite systems
title_full_unstemmed	The cross correlation properties of composite systems
title_sort	cross correlation properties of composite systems
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/99c419cc8d3d42a08388d05d684bcc28
work_keys_str_mv	AT zhifuhuang thecrosscorrelationpropertiesofcompositesystems AT shuqingzheng thecrosscorrelationpropertiesofcompositesystems AT zhifuhuang crosscorrelationpropertiesofcompositesystems AT shuqingzheng crosscorrelationpropertiesofcompositesystems
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The cross correlation properties of composite systems

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