Finite-size scaling of correlation functions in finite systems | |
Chen, XS![]() | |
刊名 | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
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2018 | |
卷号 | 61期号:12页码:120511 |
关键词 | MONTE-CARLO MODEL PERCOLATION TRANSITION |
ISSN号 | 1674-7348 |
DOI | 10.1007/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 |
内容类型 | 期刊论文 |
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. |
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