Monte Carlo Renormalization Group Method to Study the First-Order Phase Transition in the Complex Ferromagnet

An improved Monte Carlo renormalization group method is established. Based on a new model, as well as the generalized G1auber dynamics, the first-order phase transition is studied in the Erd6s-Rgnyi network, which is used to represent the complex ferromagnet. Both static and dynamic critical exponen...

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Bibliographic Details
Published inChinese physics letters Vol. 32; no. 12; pp. 5 - 8
Main Author 孟庆宽 冯东太 高绪团
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing 01.12.2015
Subjects
一级相变
临界指数
复杂网络
蒙特卡洛
蒙特卡罗
重整化群方法
重正化群方法
铁磁体
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ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/32/12/120501

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Summary:An improved Monte Carlo renormalization group method is established. Based on a new model, as well as the generalized G1auber dynamics, the first-order phase transition is studied in the Erd6s-Rgnyi network, which is used to represent the complex ferromagnet. Both static and dynamic critical exponents can be evaluated simultaneously, and the static critical exponents are evaluated to be independent of the dimension of the system. Thus by using the hyperscaling relation vd＊ = 2 - ~, the effective dimension d＊ of complex networks can be found.
Bibliography:11-1959/O4
An improved Monte Carlo renormalization group method is established. Based on a new model, as well as the generalized G1auber dynamics, the first-order phase transition is studied in the Erd6s-Rgnyi network, which is used to represent the complex ferromagnet. Both static and dynamic critical exponents can be evaluated simultaneously, and the static critical exponents are evaluated to be independent of the dimension of the system. Thus by using the hyperscaling relation vd＊ = 2 - ~, the effective dimension d＊ of complex networks can be found.
MENG Qing-Kuan, FENG Dong-Tai, GAO Xu-Tuan（School of Science, Shandong University of Technology, Zibo 255049）
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/12/120501