ULTRADIFFUSION ON THE FRACTAL BRANCHING KOCH CURVES | |
D. F. Zheng; W. J. Deng; Y. Y. Liu | |
1992 | |
发表期刊 | Journal of Physics a-Mathematical and General
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ISSN | 0305-4470 |
卷号 | 25期号:7页码:L371-L374 |
摘要 | Ultradiffusion is defined on a family of fractal branching Koch curves. By an exact renormalization decimation transformation the anomalous long-time behaviour of the autocorrelation function is obtained. For the particular hierarchy we find a non-universal crossover C1 = (m - 1)/2M and a universal one C2 = 1/2 as the effective temperature C is increased, where M is the maximum ramification number of the fractal. We also find that for large M, the dynamic behaviour of ultradiffusion on the fractal is independent of the effective temperature C. |
部门归属 | chinese ctr adv sci & technol world lab,beijing 100080,peoples r china. acad sinica,int ctr mat phys,shenyang 110015,peoples r china.;zheng, df (reprint author), s china univ technol,dept phys,canton 510641,peoples r china |
关键词 | Hierarchical Systems 1st-passage Time Diffusion |
URL | 查看原文 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.imr.ac.cn/handle/321006/39358 |
专题 | 中国科学院金属研究所 |
推荐引用方式 GB/T 7714 | D. F. Zheng,W. J. Deng,Y. Y. Liu. ULTRADIFFUSION ON THE FRACTAL BRANCHING KOCH CURVES[J]. Journal of Physics a-Mathematical and General,1992,25(7):L371-L374. |
APA | D. F. Zheng,W. J. Deng,&Y. Y. Liu.(1992).ULTRADIFFUSION ON THE FRACTAL BRANCHING KOCH CURVES.Journal of Physics a-Mathematical and General,25(7),L371-L374. |
MLA | D. F. Zheng,et al."ULTRADIFFUSION ON THE FRACTAL BRANCHING KOCH CURVES".Journal of Physics a-Mathematical and General 25.7(1992):L371-L374. |
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