中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Finite-size scaling of correlation functions in finite systems

文献类型:期刊论文

作者Chen, XS; Zhang, X1; Hu, GK; Zhang, YW; Li, XT
刊名SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
出版日期2018
卷号61期号:12页码:120511
ISSN号1674-7348
关键词MONTE-CARLO MODEL PERCOLATION TRANSITION
DOI10.1007/s11433-018-9266-x
英文摘要We propose the finite-size scaling of correlation functions in finite systems near their critical points. At a distance r in a d-dimensional finite system of size L, the correlation function can be written as the product of vertical bar r vertical bar(-(d-2+eta)) and a finite-size scaling function of the variables r/L and tL(1/v), where t = (T - T-c)/T-c, eta is the critical exponent of correlation function, and v is the critical exponent of correlation length. The correlation function only has a sigificant directional dependence when vertical bar r vertical bar is compariable to L. We then confirm this finite-size scaling by calculating the correlation functions of the two-dimensional Ising model and the bond percolation in two-dimensional lattices using Monte Carlo simulations. We can use the finite-size scaling of the correlation function to determine the critical point and the critical exponent eta.
学科主题Physics
语种英语
源URL[http://ir.itp.ac.cn/handle/311006/22775]  
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.Kunming Univ Sci & Technol, Data Sci Res Ctr, Kunming 100190, Yunnan, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Chen, XS,Zhang, X,Hu, GK,et al. Finite-size scaling of correlation functions in finite systems[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2018,61(12):120511.
APA Chen, XS,Zhang, X,Hu, GK,Zhang, YW,&Li, XT.(2018).Finite-size scaling of correlation functions in finite systems.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,61(12),120511.
MLA Chen, XS,et al."Finite-size scaling of correlation functions in finite systems".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 61.12(2018):120511.

入库方式: OAI收割

来源:理论物理研究所

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