ITP OpenIR  > SCI期刊论文
Sun, Yu1; Hu, Gaoke2; Zhang, Yongwen3; Lu, Bo4; Lu, Zhenghui5; Fan, Jingfang6; Li, Xiaoteng7; Deng, Qimin8; Chen, Xiaosong6
Eigen microstates and their evolutions in complex systems
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
AbstractEmergence refers to the existence or formation of collective behaviors in complex systems. Here, we develop a theoretical framework based on the eigen microstate theory to analyze the emerging phenomena and dynamic evolution of complex system. In this framework, the statistical ensemble composed of M microstates of a complex system with N agents is defined by the normalized N x M matrix A, whose columns represent microstates and order of row is consist with the time. The ensemble matrix A can be decomposed as A = Sigma(r)(I=1) sigma U-I(I) circle times V-I , where r = min(N, M), eigenvalue sigma(I) behaves as the probability amplitude of the eigen microstate U-I so that Sigma(r)(I=1) sigma(2)(I) = 1 and U-I evolves following V-I. In a disorder complex system, there is no dominant eigenvalue and eigen microstate. When a probability amplitude sigma(I) becomes finite in the thermodynamic limit, there is a condensation of the eigen microstate U-I in analogy to the Bose-Einstein condensation of Bose gases. This indicates the emergence of U-I and a phase transition in complex system. Our framework has been applied successfully to equilibrium three-dimensional Ising model, climate system and stock markets. We anticipate that our eigen microstate method can be used to study non-equilibrium complex systems with unknown order-parameters, such as phase transitions of collective motion and tipping points in climate systems and ecosystems.
2021
ISSN0253-6102
Volume73Issue:6Pages:65603
Cooperation Status国内
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1088/1572-9494/abf127
Indexed BySCIE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/27315
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
3.Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
4.Kunming Univ Sci & Technol, Data Sci Res Ctr, Kunming 650500, Yunnan, Peoples R China
5.China Meteorol Adm, Lab Climate Studies, Natl Climate Ctr, Beijing 100081, Peoples R China
6.Chinese Acad Sci, Inst Atmospher Phys, CAS Key Lab Reg Climate Environm Temperate East A, Beijing 100029, Peoples R China
7.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China
8.Harvest Fund Management, Beijing 100021, Peoples R China
9.Peking Univ, Sch Phys, Dept Atmospher & Ocean Sci, Lab Climate & Ocean Atmosphere Studies, Beijing 100871, Peoples R China
Recommended Citation
GB/T 7714
Sun, Yu,Hu, Gaoke,Zhang, Yongwen,et al. Eigen microstates and their evolutions in complex systems[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2021,73(6):65603.
APA Sun, Yu.,Hu, Gaoke.,Zhang, Yongwen.,Lu, Bo.,Lu, Zhenghui.,...&Chen, Xiaosong.(2021).Eigen microstates and their evolutions in complex systems.COMMUNICATIONS IN THEORETICAL PHYSICS,73(6),65603.
MLA Sun, Yu,et al."Eigen microstates and their evolutions in complex systems".COMMUNICATIONS IN THEORETICAL PHYSICS 73.6(2021):65603.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Sun, Yu]'s Articles
[Hu, Gaoke]'s Articles
[Zhang, Yongwen]'s Articles
Baidu academic
Similar articles in Baidu academic
[Sun, Yu]'s Articles
[Hu, Gaoke]'s Articles
[Zhang, Yongwen]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Sun, Yu]'s Articles
[Hu, Gaoke]'s Articles
[Zhang, Yongwen]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.