Knowledge Management System of Institute of Theoretical Physics, CAS
Hu, GK; Liu, T2; Liu, MX; Chen, W3; Chen, XS
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| Condensation of eigen microstate in statistical ensemble and phase transition | |
| Source Publication | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
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| Language | 英语 |
| Keyword | ORDER MODEL |
| Abstract | 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. |
| 2019 | |
| ISSN | 1674-7348 |
| Volume | 62Issue:9Pages:990511 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Multidisciplinary |
| DOI | 10.1007/s11433-018-9353-x |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/23403 |
| Collection | SCI期刊论文 |
| Affiliation | 1.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Beijing Normal Univ, Sch Syst Sci, Beijing 100875, Peoples R China 3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Inst Proc Engn, State Key Lab Multiphase Complex Syst, Beijing 100190, Peoples R China 5.Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China 6.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China |
| Recommended Citation 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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