ITP OpenIR  > 理论物理所2015年知识产出
Universal critical wrapping probabilities in the canonical ensemble
Hu, H; Deng, YJ; Deng, YJ (reprint author), Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China.
2015
发表期刊NUCLEAR PHYSICS B
卷号898期号:0页码:157-172
文章类型Article
摘要Universal dimensionless quantities, such as Binder ratios and wrapping probabilities, play an important role in the study of critical phenomena. We study the finite-size scaling behavior of the wrapping probability for the Potts model in the random-cluster representation, under the constraint that the total number of occupied bonds is fixed, so that the canonical ensemble applies. We derive that, in the limit L -> 8, the critical values of the wrapping probability are different from those of the unconstrained model, i.e. the model in the grand-canonical ensemble, but still universal, for systems with 2(yt) - d > 0where yt = 1/nu is the thermal renormalization exponent and dis the spatial dimension. Similar modifications apply to other dimensionless quantities, such as Binder ratios. For systems with 2(yt) - d = 0, these quantities share same critical universal values in the two ensembles. It is also derived that new finite-size corrections are induced. These findings apply more generally to systems in the canonical ensemble, e.g. the dilute Potts model with a fixed total number of vacancies. Finally, we formulate an efficient cluster-type algorithm for the canonical ensemble, and confirm these predictions by extensive simulations. (C) 2015 The Authors. Published by Elsevier B.V.
学科领域Physics
资助者National Natural Science Foundation of China [11275185] ; National Natural Science Foundation of China [11275185] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Fundamental Research Funds for the Central Universities [2340000034] ; Fundamental Research Funds for the Central Universities [2340000034] ; National Natural Science Foundation of China [11275185] ; National Natural Science Foundation of China [11275185] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Fundamental Research Funds for the Central Universities [2340000034] ; Fundamental Research Funds for the Central Universities [2340000034]
DOIhttp://dx.doi.org/10.1016/j.nuclphysb.2015.06.025
关键词[WOS]MONTE-CARLO SIMULATIONS ; CRITICAL EXPONENTS ; PHASE-TRANSITIONS ; POTTS MODELS ; PERCOLATION ; SYSTEMS ; RENORMALIZATION ; LATTICE ; TORUS ; GAS
收录类别SCI
语种英语
资助者National Natural Science Foundation of China [11275185] ; National Natural Science Foundation of China [11275185] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Fundamental Research Funds for the Central Universities [2340000034] ; Fundamental Research Funds for the Central Universities [2340000034] ; National Natural Science Foundation of China [11275185] ; National Natural Science Foundation of China [11275185] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF191CJ1] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Ministry of Education (China) for the Specialized Research Fund for the Doctoral Program of Higher Education [20113402110040] ; Fundamental Research Funds for the Central Universities [2340000034] ; Fundamental Research Funds for the Central Universities [2340000034]
WOS类目Physics, Particles & Fields
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/20885
专题理论物理所2015年知识产出
通讯作者Deng, YJ (reprint author), Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China.
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Hu, H,Deng, YJ,Deng, YJ . Universal critical wrapping probabilities in the canonical ensemble[J]. NUCLEAR PHYSICS B,2015,898(0):157-172.
APA Hu, H,Deng, YJ,&Deng, YJ .(2015).Universal critical wrapping probabilities in the canonical ensemble.NUCLEAR PHYSICS B,898(0),157-172.
MLA Hu, H,et al."Universal critical wrapping probabilities in the canonical ensemble".NUCLEAR PHYSICS B 898.0(2015):157-172.
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