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题名: Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems
作者: Li, XT ;  Chen, XS
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2016
卷号: 66, 期号:3, 页码:355-362
关键词: critical phenomena ;  finite-size scaling ;  principal fluctuation modes
学科分类: Physics
通讯作者: Chen, XS (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
文章类型: Article
英文摘要: Complex systems consisting of N agents can be investigated from the aspect of principal fluctuation modes of agents. From the correlations between agents, an N x N correlation matrix C can be obtained. The principal fluctuation modes are defined by the eigenvectors of C. Near the critical point of a complex system, we anticipate that the principal fluctuation modes have the critical behaviors similar to that of the susceptibity. With the Ising model on a two-dimensional square lattice as an example, the critical behaviors of principal fluctuation modes have been studied. The eigenvalues of the first 9 principal fluctuation modes have been invesitigated. Our Monte Carlo data demonstrate that these eigenvalues of the system with size L and the reduced temperature t follow a finite-size scaling form lambda(n) (L, t) =L-gamma/nu f(n) (tL(1/nu)), where gamma is critical exponent of susceptibility and nu is the critical exponent of the correlation length. Using eigenvalues lambda(1), lambda(2) and lambda(6), we get the finite-size scaling form of the second moment correlation length xi (L, t) = L (xi) over tilde (tL(1/nu)) It is shown that the second moment correlation length in the two-dimensional square lattice is anisotropic.
类目[WOS]: Physics, Multidisciplinary
关键词[WOS]: CROSS-CORRELATIONS ;  UNIVERSAL
收录类别: SCI
项目资助者: National Natural Science Foundation of China [11121403, 11504384]
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21545
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Li, XT,Chen, XS. Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2016,66(3):355-362.
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