Critical properties of the S-4 model on diamond-type hierarchial lattices
文献类型：期刊论文
| 作者 | Li, Y ; Kong, XM |
| 刊名 | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
 |
| 出版日期 | 2005 |
| 卷号 | 356期号:2-4页码:589 |
| ISSN号 | 0378-4371 |
| 关键词 | PHASE-TRANSITIONS GAUSSIAN MODEL CRITICAL-BEHAVIOR RENORMALIZATION-GROUP SIERPINSKI CARPETS FRACTAL LATTICES UNIVERSALITY |
| 通讯作者 | Kong, XM: Qufu Normal Univ, Dept Phys, Qufu 273165, Peoples R China. |
| 中文摘要 | We study the critical properties of the S-4 model on diamond-type hierarchical lattices in the presence of an external magnetic field. It is assumed that for this type of inhomogenous fractal lattice, the Gaussian distribution constant, the four-spins interaction parameter and the external magnetic field in the S4 model depend on the coordination number of the site on the fractal lattices. By combining the real-space renormalization-group scheme with the cumulative expansion method, we obtain the critical points and further calculate critical exponents according to the scaling theory. The results show that on diamond-type hierarchical lattices with branches m > 4 of 2 bonds, the critical point of the S4 model is just the Gaussian fixed point, and therefore critical exponents are in full agreement with those of the Gaussian model, and that on those with m <= 4, the Wilson-Fisher fixed point as well as the Gaussian fixed point is obtained. The Wilson-Fisher fixed point has a decisive influence on the critical behavior of the system, and critical exponents are related to the fractal dimensionality. We found that the S4 model on the fractal lattices and that on the translation symmetric lattices show similar behaviors in the dependence of the critical properties on the dimensionality. (c) 2005 Elsevier B.V. All rights reserved. |
| 收录类别 | SCI |
| 语种 | 英语 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/35306]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 GB/T 7714 | Li, Y,Kong, XM. Critical properties of the S-4 model on diamond-type hierarchial lattices[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2005,356(2-4):589. |
| APA | Li, Y,&Kong, XM.(2005).Critical properties of the S-4 model on diamond-type hierarchial lattices.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,356(2-4),589. |
| MLA | Li, Y,et al."Critical properties of the S-4 model on diamond-type hierarchial lattices".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 356.2-4(2005):589. |
入库方式： OAI收割
来源：物理研究所
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