The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Density of states on fractals : « fractons »
Open accessAbstract
The density of states on a fractal is calculated taking into account the scaling properties of both the volume and the connectivity. We use a Green's function method developed elsewhere which utilizes a relationship to the diffusion problem. It is found that proper mode counting requires a reciprocal space with new intrinsic fracton dimensionality d = 2 d/(2 + δ). Here, d is the effective dimensionality, and δ the exponent giving the dependence of the diffusion constant on distance. For example, we find for percolation clusters d = 4/3 within the numerical accuracy available, independent of the Euclidean dimensionality d. Crossover to normal behaviour at low frequencies is discussed for finite fractals and for percolation above the percolation threshold pc. Relevance to experimental results on proteins is also discussed.
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Citations
Cites
Scaling theory of percolation clusters
Stauffer, D. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90060-7 · Cited by 2,365
Excitation dynamics in random one-dimensional systems
Alexander, S., Bernasconi, J., Schneider, W. R., & Orbach, R. (1981) · Reviews of Modern Physics · doi:10.1103/revmodphys.53.175 · Cited by 756
Self-citationEddy, A. A. (1982) · Advances in Microbial Physiology · doi:10.1016/s0065-2911(08)60341-0 · Cited by 222
Cited by
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
Bouchaud, J.-P., & Georges, A. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90099-n · Cited by 4,162
Diffusion in regular and disordered lattices
Haus, J. W., & Kehr, K. W. (1987) · Physics Reports · doi:10.1016/0370-1573(87)90005-6 · Cited by 1,122
Physics of inhomogeneous inorganic materials
Nan, C.-W. (1993) · Progress in Materials Science · doi:10.1016/0079-6425(93)90004-5 · Cited by 1,050
Rammal, R., Toulouse, G., & Virasoro, M. A. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.765 · Cited by 756
Reuter, M., & Saueressig, F. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/5/055022 · Cited by 375
Metadata
- Authors
- Alexander, S., & Orbach, R.
- Venue
- Journal de Physique Lettres
- Publisher
- EDP Sciences
- Published
- 1982
- Volume
- 43
- Issue
- 17
- Pages
- 625-631
- ISSN
- 0302-072X (ISSN-L)
- OpenAlex
- W1988335285
- Cited by
- 2,108
- References
- 3
- FWCI
- 64.92
- Type
- journal article
- Language
- fr
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
