自然科学版
陕西师范大学学报(自然科学版)
生物医学与信息工程专题
时间不可逆系统的量化分析
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王俊1*, 李俊俊2, 姚文坡2*
(1 南京邮电大学 江苏省智慧健康大数据分析与位置服务工程实验室,江苏 南京 210023;2 电子科技大学 生命科学与技术学院,四川 成都 611731)
王俊,男,教授,博士生导师,研究方向为生物医学信号处理、复杂系统分析。E-mail:wangj@njupt.edu.cn姚文坡,男,助理研究员,博士,研究方向为复杂系统分析。E-mail:yaowpo@hotmail.com
摘要:
时间不可逆是衡量系统非平衡性特征的有效指标,其在非线性特征分析中也发挥了重要作用,本文综述了时间不可逆量化分析的概念及相关问题。首先从统计学角度对正反序列联合概率的差异性和序列对称向量的概率差异性的一致问题进行验证,之后对联合概率简化估计的主要方法(包括排列法和可视图)进行概述,并对基于减法的差异性参数进行比较分析。进一步针对排列时间不可逆量化方法,分析了空排列、等值元素的影响,并对量化分析中对称向量的有效排列方式进行了讨论。本文厘清了时间不可逆相关的统计概念和量化分析方法,为进一步分析非平衡系统的不可逆特征提供了理论基础。
关键词:
时间不可逆;时间非对称;排列;非平衡性;幅度不可逆
收稿日期:
2020-08-20
中图分类号:
O231.5;O424.21
文献标识码:
A
文章编号:
1672-4291(2020)06-0063-06
基金项目:
国家自然科学基金(31671006, 61771251)
Doi:
The quantification of time irreversibility systems
WANG Jun1*,LI Junjun2,YAO Wenpo2*
(1 Smart Health Big Data Analysis and Location Services Engineering Lab of Jiangsu Province,Nanjing University of Posts and Telecommunications, Nanjing 210023, Jiangsu, China;2 School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu 611731, Sichuan, China)
Abstract:
Time irreversibility is an effective measure of the non-equilibrium characteristic, and it also plays an important role in nonlinear analysis.Some issues on the quantitative time irreversibility are reviewed. It can be demonstrated that it is equivalent to measure the probabilistic difference between forward-backward vectors and between the symmetric vectors.The simplified quantitative time irreversibility methods, based on permutation and visibility graph are reviewed,and the subtraction-based measures for probabilistic difference are analyzed. As for the permutation time irreversibility, some neglected issues such as: the forbidden symbols, equal values are analyzed.Overall, issues related to some theoretical and practical aspects for the quantitative time irreversibility are summarized.
KeyWords:
time irreversibility; temporal asymmetry; permutation nonequilibrium; amplitude irreversibility