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Multifractality and Network Analysis of Phase Transition

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成果类型:
期刊论文
作者:
Zhao, Longfeng*;Li, Wei*;Yang, Chunbin(杨纯斌);Han, Jihui;Su, Zhu;...
通讯作者:
Zhao, Longfeng;Li, Wei
作者机构:
[Yang, Chunbin; Zhao, Longfeng; Li, W; Zou, Yijiang; Li, Wei; Su, Zhu; Han, Jihui] Hua Zhong Cent China Normal Univ, Complex Sci Ctr, Wuhan 430079, Peoples R China.
[Yang, Chunbin; Zhao, Longfeng; Li, W; Zou, Yijiang; Li, Wei; Su, Zhu; Han, Jihui] Hua Zhong Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
[Li, Wei] Max Planck Inst Math Sci, D-04103 Leipzig, Germany.
通讯机构:
[Zhao, LF; Li, W] H
[Li, Wei] M
Hua Zhong Cent China Normal Univ, Complex Sci Ctr, Wuhan 430079, Peoples R China.
Hua Zhong Cent China Normal Univ, Inst Particle Phys, Wuhan 430079, Peoples R China.
Max Planck Inst Math Sci, D-04103 Leipzig, Germany.
语种:
英文
关键词:
Complex systems;Fractals;Autocorrelation;Monte Carlo method;Probability density;Fluctuation analysis;Skewness;Scale-free networks
期刊:
PLOS ONE
ISSN:
1932-6203
年:
2017
卷:
12
期:
1
页码:
e0170467
基金类别:
Programme of Introducing Talents of Discipline to UniversitiesMinistry of Education, China - 111 Project [B08033]
机构署名:
本校为第一且通讯机构
摘要:
Many models and real complex systems possess critical thresholds at which the systems shift dramatically from one sate to another. The discovery of early-warnings in the vicinity of critical points are of great importance to estimate how far the systems are away from the critical states. Multifractal Detrended Fluctuation analysis (MF-DFA) and visibility graph method have been employed to investigate the multifractal and geometrical properties of the magnetization time series of the two-dimensional Ising model. Multifractality of the time series near the critical point has been uncovered from ...

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