Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems

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	Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems
	Li, XT ; Chen, XS
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2016
卷号	66 期号:3 页码:355-362
关键词	critical phenomena CROSS-CORRELATIONS finite-size scaling UNIVERSAL principal fluctuation modes
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.
学科主题	Physics
语种	英语
资助机构	National Natural Science Foundation of China [11121403, 11504384]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23084]
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.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	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.
APA	Li, XT,&Chen, XS.(2016).Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems.COMMUNICATIONS IN THEORETICAL PHYSICS,66(3),355-362.
MLA	Li, XT,et al."Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems".COMMUNICATIONS IN THEORETICAL PHYSICS 66.3(2016):355-362.