Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk
文献类型:期刊论文
作者 | Hu, H; Chen, XS![]() |
刊名 | FRONTIERS OF PHYSICS
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出版日期 | 2017 |
卷号 | 12期号:1页码:120503 |
关键词 | Monte Carlo Algorithms Self-avoiding Walk Irreversible Balance Condition |
DOI | http://dx.doi.org/10.1007/s11467-016-0646-6 |
英文摘要 | We formulate an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW), which violates the detailed balance condition and satisfies the balance condition. Its performance improves significantly compared to that of the Berretti-Sokal algorithm, which is a variant of the Metropolis-Hastings method. The gained efficiency increases with spatial dimension (D), from approximately 1 0 times in 2D to approximately 4 0 times in 5D. We simulate the SAW on a 5D hyper-cubic lattice with periodic boundary conditions, for a linear system with a size up to L = 128, and confirm that as for the 5D Ising model, the finite-size scaling of the SAW is governed by renormalized exponents, nu* = 2/d and gamma/nu* = d/2. The critical point is determined, which is approximately 8 times more precise than the best available estimate. |
学科主题 | Physics |
语种 | 英语 |
源URL | [http://ir.itp.ac.cn/handle/311006/22138] ![]() |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
通讯作者 | Deng, YJ (reprint author), Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Peoples R China.; Deng, YJ (reprint author), Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China.; Deng, YJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China. |
推荐引用方式 GB/T 7714 | Hu, H,Chen, XS,Deng, YJ,et al. Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk[J]. FRONTIERS OF PHYSICS,2017,12(1):120503. |
APA | Hu, H,Chen, XS,Deng, YJ,Deng, YJ ,Deng, YJ ,&Deng, YJ .(2017).Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk.FRONTIERS OF PHYSICS,12(1),120503. |
MLA | Hu, H,et al."Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk".FRONTIERS OF PHYSICS 12.1(2017):120503. |
入库方式: OAI收割
来源:理论物理研究所
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