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Qian, XF; Deng, YJ; Liu, YH; Guo, WA; Blote, HWJ; Deng, YJ (reprint author), Univ Sci & Technol China, Dept Modern Phys, Hefei Natl Lab Phys Sci Microscale, Hefei 230027, Peoples R China.; Deng, YJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Equivalent-neighbor Potts models in two dimensions
Source PublicationPHYSICAL REVIEW E
Language英语
AbstractWe investigate the two-dimensional q = 3 and 4 Potts models with a variable interaction range by means of Monte Carlo simulations. We locate the phase transitions for several interaction ranges as expressed by the number z of equivalent neighbors. For not-too-large z, the transitions fit well in the universality classes of the short-range Potts models. However, at longer ranges, the transitions become discontinuous. For q = 3 we locate a tricritical point separating the continuous and discontinuous transitions near z = 80, and a critical fixed point between z = 8 and 12. For q = 4 the transition becomes discontinuous for z > 16. The scaling behavior of the q = 4 model with z = 16 approximates that of the q = 4 merged critical-tricritical fixed point predicted by the renormalization scenario.
2016
Volume94Issue:5Pages:52103
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1103/PhysRevE.94.052103
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11275185, 11175018] ; National Natural Science Foundation of China [11275185, 11175018] ; National Natural Science Foundation of China [11275185, 11175018] ; National Natural Science Foundation of China [11275185, 11175018] ; Fundamental Research Funds for Central Universities of the Ministry of Education (China) ; Fundamental Research Funds for Central Universities of the Ministry of Education (China) ; Fundamental Research Funds for Central Universities of the Ministry of Education (China) ; Fundamental Research Funds for Central Universities of the Ministry of Education (China)
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21494
CollectionSCI期刊论文
Corresponding AuthorDeng, YJ (reprint author), Univ Sci & Technol China, Dept Modern Phys, Hefei Natl Lab Phys Sci Microscale, Hefei 230027, Peoples R China.; Deng, YJ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Qian, XF,Deng, YJ,Liu, YH,et al. Equivalent-neighbor Potts models in two dimensions[J]. PHYSICAL REVIEW E,2016,94(5):52103.
APA Qian, XF.,Deng, YJ.,Liu, YH.,Guo, WA.,Blote, HWJ.,...&Deng, YJ .(2016).Equivalent-neighbor Potts models in two dimensions.PHYSICAL REVIEW E,94(5),52103.
MLA Qian, XF,et al."Equivalent-neighbor Potts models in two dimensions".PHYSICAL REVIEW E 94.5(2016):52103.
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