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Qian, XF; Deng, YJ; Liu, YH; Guo, WA; Blote, HWJ
Equivalent-neighbor Potts models in two dimensions
Source PublicationPHYSICAL REVIEW E
Language英语
KeywordLONG-RANGE INTERACTIONS 1ST-ORDER PHASE-TRANSITIONS CLASSICAL CRITICAL-BEHAVIOR SIZE-SCALING ANALYSIS RENORMALIZATION-GROUP MULTICRITICAL POINT ISING-MODELS FIELD-THEORY SPIN MODELS LATTICE
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] ; 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/311006/23131
Collection理论物理所科研产出_SCI论文
Affiliation1.[Qian, Xiaofeng; Blote, Henk W. J.] Leiden Univ, Inst Lorentz, POB 9506, NL-2300 RA Leiden, Netherlands
2.Univ Sci & Technol China, Dept Modern Phys, Hefei Natl Lab Phys Sci Microscale, Hefei 230027, Peoples R China
3.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
4.Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
5.Beijing Computat Sci Res Ctr, Beijing 100193, 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.(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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