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	Condensation of eigen microstate in statistical ensemble and phase transition
	Hu, GK; Liu, T2; Liu, MX; Chen, W1; Chen, XS
刊名	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
	2019
卷号	62期号:9页码:990511
关键词	ORDER MODEL
ISSN号	1674-7348
DOI	10.1007/s11433-018-9353-x
英文摘要	In a statistical ensemble with M microstates, we introduce an MxM correlation matrix with correlations among microstates as its elements. Eigen microstates of ensemble can be defined using eigenvectors of the correlation matrix. The eigenvalue normalized by M represents weight factor in the ensemble of the corresponding eigen microstate. In the limit M , weight factors drop to zero in the ensemble without localization of the microstate. The finite limit of the weight factor when M indicates a condensation of the corresponding eigen microstate. This finding indicates a transition into a new phase characterized by the condensed eigen microstate. We propose a finite-size scaling relation of weight factors near critical point, which can be used to identify the phase transition and its universality class of general complex systems. The condensation of eigen microstate and the finite-size scaling relation of weight factors are confirmed using Monte Carlo data of one-dimensional and two-dimensional Ising models.
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/311006/23403]
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.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 2.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 5.Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China 6.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hu, GK,Liu, T,Liu, MX,et al. Condensation of eigen microstate in statistical ensemble and phase transition[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2019,62(9):990511.
APA	Hu, GK,Liu, T,Liu, MX,Chen, W,&Chen, XS.(2019).Condensation of eigen microstate in statistical ensemble and phase transition.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,62(9),990511.
MLA	Hu, GK,et al."Condensation of eigen microstate in statistical ensemble and phase transition".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 62.9(2019):990511.

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