ITP OpenIR  > SCI期刊论文
Hu, H; Deng, YJ; Deng, YJ (reprint author), Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China.
Universal critical wrapping probabilities in the canonical ensemble
Source PublicationNUCLEAR PHYSICS B
Language英语
AbstractUniversal 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.
2015
Volume898Issue:0Pages:157-172
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1016/j.nuclphysb.2015.06.025
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11275185] ; National Natural Science Foundation of China [11275185] ; 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] ; 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] ; 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] ; Fundamental Research Funds for the Central Universities [2340000034] ; Fundamental Research Funds for the Central Universities [2340000034]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20885
CollectionSCI期刊论文
Corresponding AuthorDeng, YJ (reprint author), Univ Sci & Technol China, Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China.
Recommended Citation
GB/T 7714
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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