Proposed connection between critical exponents and fractal dimensions in the Ising model
文献类型：期刊论文
| 作者 | Z. D. Zhang ; N. H. March |
| 刊名 | Journal of Mathematical Chemistry
 |
| 出版日期 | 2012 |
| 卷号 | 50期号:4页码:920-925 |
| 关键词 | Critical exponents Fractal dimensions The Ising model Critical phenomena critical region inequality lattices fluids |
| ISSN号 | 0259-9791 |
| 中文摘要 | Scaling properties near the critical point indicates the existence of self-similarity behavior for the critical phenomena. Although the system considered here is not a truly dynamic one, we propose a specific set of relations between fractal dimensions and critical exponents in the Ising model of statistical mechanics. In particular, we put forward, corresponding to six critical exponents for the Ising model, six fractal dimensions. Assuming the latter proposals, we can then derive relationships between such fractal dimensions. |
| 原文出处 | |
| 公开日期 | 2013-02-05 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/60468]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 推荐引用方式 GB/T 7714 | Z. D. Zhang,N. H. March. Proposed connection between critical exponents and fractal dimensions in the Ising model[J]. Journal of Mathematical Chemistry,2012,50(4):920-925. |
| APA | Z. D. Zhang,&N. H. March.(2012).Proposed connection between critical exponents and fractal dimensions in the Ising model.Journal of Mathematical Chemistry,50(4),920-925. |
| MLA | Z. D. Zhang,et al."Proposed connection between critical exponents and fractal dimensions in the Ising model".Journal of Mathematical Chemistry 50.4(2012):920-925. |
入库方式： OAI收割
来源：金属研究所
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