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http://hdl.handle.net/10397/5400
| Title: | Anomalous transport in lattice and continuum percolating systems | Authors: | Yu, KW | Issue Date: | 1-Jun-1986 | Source: | Physical review. B, Condensed matter and materials physics, 1 June 1986, v. 33, no. 11, p. 7748–7752 | Abstract: | Anomalous diffusion is studied on a certain class of percolation models in which the diffusion properties arise both from the underlying network and from the singular distribution of transfer rates. Scaling arguments parallel to those of Kogut and Straley lead to nonuniversal modifications of the dynamical exponents. The scaling results are demonstrated in a Sierpiński honeycomb and in the effective-medium theory and explicit values for the exponents are obtained. The diffusion-coefficient exponent and the spectral dimension are found to be 2/(1-a) and 2(1-a)/(2-a), respectively, (0<a<1) in the effective-medium theory, with values being significantly different from the corresponding ones in ordinary percolation. As a concrete example, the frequency-dependent conductivity has been calculated for a three-dimensional cubic network and several interesting crossover behaviors are obtained. | Keywords: | Diffusion Electrical conductivity Lattice theory and statistics Percolation Scaling phenomena |
Publisher: | American Physical Society | Journal: | Physical review. B, Condensed matter and materials physics | ISSN: | 1098-0121 | EISSN: | 1550-235X | DOI: | 10.1103/PhysRevB.33.7748 | Rights: | Physical Review B © 1986 The American Physical Society. The Journal's web site is located at http://prb.aps.org/ |
| Appears in Collections: | Journal/Magazine Article |
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|---|---|---|---|---|
| Yu_Anomalous_Percolating_Systems.pdf | 353.72 kB | Adobe PDF | View/Open |
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