Knowledge Management System of Institute of Theoretical Physics, CAS
Zhang, X2; Hu, GK; Zhang, YW; Li, XT; Chen, XS | |
Finite-size scaling of correlation functions in finite systems | |
Source Publication | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY |
Language | 英语 |
Keyword | MONTE-CARLO MODEL PERCOLATION TRANSITION |
Abstract | 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. |
2018 | |
ISSN | 1674-7348 |
Volume | 61Issue:12Pages:120511 |
Subject Area | Physics |
MOST Discipline Catalogue | Physics, Multidisciplinary |
DOI | 10.1007/s11433-018-9266-x |
Indexed By | SCIE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/22775 |
Collection | SCI期刊论文 |
Affiliation | 1.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Kunming Univ Sci & Technol, Data Sci Res Ctr, Kunming 100190, Yunnan, Peoples R China 3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Zhang, X,Hu, GK,Zhang, YW,et al. Finite-size scaling of correlation functions in finite systems[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2018,61(12):120511. |
APA | Zhang, X,Hu, GK,Zhang, YW,Li, XT,&Chen, XS.(2018).Finite-size scaling of correlation functions in finite systems.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,61(12),120511. |
MLA | Zhang, X,et al."Finite-size scaling of correlation functions in finite systems".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 61.12(2018):120511. |
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