Knowledge Management System of Institute of Theoretical Physics, CAS
Sun, Yu1; Hu, Gaoke2; Zhang, Yongwen3; Lu, Bo4; Lu, Zhenghui5; Fan, Jingfang6; Li, Xiaoteng7; Deng, Qimin8; Chen, Xiaosong6
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| Eigen microstates and their evolutions in complex systems | |
| Source Publication | COMMUNICATIONS IN THEORETICAL PHYSICS
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| Language | 英语 |
| Abstract | Emergence 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 | |
| ISSN | 0253-6102 |
| Volume | 73Issue:6Pages:65603 |
| Cooperation Status | 国内 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Multidisciplinary |
| DOI | 10.1088/1572-9494/abf127 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/27315 |
| Collection | SCI期刊论文 |
| Affiliation | 1.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. |
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