Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents
文献类型：期刊论文
| 作者 | Z. D. Zhang ; N. H. March |
| 刊名 | Physics and Chemistry of Liquids
 |
| 出版日期 | 2010 |
| 卷号 | 48期号:3页码:403-408 |
| 关键词 | polymer growth solutions dynamic and static epidemics critical exponents state potts-model percolation lattice transition chains trees |
| ISSN号 | 0031-9104 |
| 中文摘要 | Recent interest in solutions of the static and dynamic epidemic models has led us to reconsider some features of the critical exponents of these models. In particular, our starting point is that the known values of such exponents take different values depending on dimensionality d, for dynamic epidemics, depending also on the looped nature of the chain, but the universality is regained for d 1. According to this superuniversality property for d 1, we could predict that the critical exponents and for dynamic epidemics on a square lattice should be 43/18 and 4/3, respectively. Furthermore, from numerical results in literature, we predict the critical exponents for the Potts model in three dimensions and the percolation exponents (q = 1) for d = 1, 2, 3, 4, 5 and d epsilon 6. Other areas of relevance beyond that in the title embrace conduction in heterogeneous media as well as a description of the spreading of a fluid in a medium possessing mobile impurities. |
| 原文出处 | |
| 公开日期 | 2012-04-13 |
| 源URL | [http://210.72.142.130/handle/321006/31734]  |
| 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. Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents[J]. Physics and Chemistry of Liquids,2010,48(3):403-408. |
| APA | Z. D. Zhang,&N. H. March.(2010).Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents.Physics and Chemistry of Liquids,48(3),403-408. |
| MLA | Z. D. Zhang,et al."Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents".Physics and Chemistry of Liquids 48.3(2010):403-408. |
入库方式： OAI收割
来源：金属研究所
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