Eigen microstates and their evolutions in complex systems

doi:10.1088/1572-9494/abf127

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Eigen microstates and their evolutions in complex systems
	Sun, Yu 1; Hu, Gaoke 2; Zhang, Yongwen 3; Lu, Bo 4; Lu, Zhenghui 5; Fan, Jingfang 6; Li, Xiaoteng 7; Deng, Qimin 8; Chen, Xiaosong 6
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2021
卷号	73 期号:6 页码:65603
ISSN号	0253-6102
DOI	10.1088/1572-9494/abf127
英文摘要	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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27315]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	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
推荐引用方式 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.