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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
ISSN0305-4470
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
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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
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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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