CAS OpenIR
Condensation of eigen microstate in statistical ensemble and phase transition
Hu, GaoKe1,3; Liu, Teng3; Liu, MaoXin5,6; Chen, Wei4; Chen, XiaoSong1,2,3
2019-09-01
Source PublicationSCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN1674-7348
Volume62Issue:9Pages:8
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.

KeywordStatistical Ensemble Eigen Microstate Condensation Phase Transition Finite-size Scaling
DOI10.1007/s11433-018-9353-x
Language英语
WOS KeywordOrder ; Model
Funding ProjectKey Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZD-SSW-SYS019]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Funding OrganizationKey Research Program of Frontier Sciences, Chinese Academy of Sciences
WOS IDWOS:000466077500001
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ipe.ac.cn/handle/122111/28121
Collection中国科学院过程工程研究所
Corresponding AuthorChen, XiaoSong
Affiliation1.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, GaoKe,Liu, Teng,Liu, MaoXin,et al. Condensation of eigen microstate in statistical ensemble and phase transition[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2019,62(9):8.
APA Hu, GaoKe,Liu, Teng,Liu, MaoXin,Chen, Wei,&Chen, XiaoSong.(2019).Condensation of eigen microstate in statistical ensemble and phase transition.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,62(9),8.
MLA Hu, GaoKe,et al."Condensation of eigen microstate in statistical ensemble and phase transition".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 62.9(2019):8.
Files in This Item:
File Name/Size DocType Version Access License
Hu2019_Article_Conde(488KB)期刊论文出版稿限制开放CC BY-NC-SAApplication Full Text
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Hu, GaoKe]'s Articles
[Liu, Teng]'s Articles
[Liu, MaoXin]'s Articles
Baidu academic
Similar articles in Baidu academic
[Hu, GaoKe]'s Articles
[Liu, Teng]'s Articles
[Liu, MaoXin]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Hu, GaoKe]'s Articles
[Liu, Teng]'s Articles
[Liu, MaoXin]'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.