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Li, XT; Chen, XS; Chen, XS (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Critical Behaviors and Finite-Size Scaling of Principal Fluctuation Modes in Complex Systems
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordCritical Phenomena Finite-size Scaling Principal Fluctuation Modes
AbstractComplex 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.
2016
Volume66Issue:3Pages:355-362
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11121403, 11504384] ; National Natural Science Foundation of China [11121403, 11504384] ; National Natural Science Foundation of China [11121403, 11504384] ; National Natural Science Foundation of China [11121403, 11504384]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21545
CollectionSCI期刊论文
Corresponding AuthorChen, XS (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Li, XT,Chen, XS,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,&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.
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