Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5400
Title: Anomalous transport in lattice and continuum percolating systems
Authors: Yu, KW
Keywords: Diffusion
Electrical conductivity
Lattice theory and statistics
Percolation
Scaling phenomena
Issue Date: 1-Jun-1986
Publisher: American Physical Society
Source: Physical review. B, Condensed matter and materials physics, 1 June 1986, v. 33, no. 11, p. 7748–7752 How to cite?
Journal: Physical review. B, Condensed matter and materials physics 
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.
URI: http://hdl.handle.net/10397/5400
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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