Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method
文献类型:期刊论文
作者 | Du, JQ; Zheng, B; Wang, JS |
刊名 | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
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出版日期 | 2006-05-01 |
页码 | 13 |
关键词 | classical Monte Carlo simulations critical exponents and amplitudes (theory) finite-size scaling |
ISSN号 | 1742-5468 |
DOI | 10.1088/1742-5468/2006/05/P05004 |
英文摘要 | Using a nonequilibrium relaxation method, we calculate the dynamic critical exponent z of the two-dimensional Ising model for the Swendsen-Wang and Wolff algorithms. We examine dynamic relaxation processes following a quench from a disordered or an ordered initial state to the critical temperature T-c, and measure the exponential relaxation time of the system energy. For the Swendsen-Wang algorithm with an ordered or a disordered initial state, and for the Wolff algorithm with an ordered initial state, the exponential relaxation time fits well to a logarithmic size dependence up to a lattice size L = 8192. For the Wolff algorithm with a disordered initial state, we obtain an effective dynamic exponent z(exp) = 1.19(2) up to L = 2048. For comparison, we also compute the effective dynamic exponents through the integrated correlation times. In addition, an exact result of the Swendsen-Wang dynamic spectrum of a one-dimensional Ising chain is derived. |
WOS关键词 | 3-DIMENSIONAL ISING-MODEL ; MONTE-CARLO SIMULATIONS ; CLUSTER ALGORITHMS ; BEHAVIOR ; LATTICE ; TIME |
WOS研究方向 | Mechanics ; Physics |
语种 | 英语 |
WOS记录号 | WOS:000238060000006 |
出版者 | IOP PUBLISHING LTD |
源URL | [http://119.78.100.186/handle/113462/26981] ![]() |
专题 | 中国科学院近代物理研究所 |
通讯作者 | Du, JQ |
作者单位 | 1.Zhejiang Univ, Inst Modern Phys, Hangzhou 310027, Peoples R China 2.Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore |
推荐引用方式 GB/T 7714 | Du, JQ,Zheng, B,Wang, JS. Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2006:13. |
APA | Du, JQ,Zheng, B,&Wang, JS.(2006).Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,13. |
MLA | Du, JQ,et al."Dynamic critical exponents for Swendsen-Wang and Wolff algorithms obtained by a nonequilibrium relaxation method".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2006):13. |
入库方式: OAI收割
来源:近代物理研究所
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