The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Critical Behavior of the Complex Dielectric Constant near the Percolation Threshold of a Heterogeneous Material
Abstract
The behavior of the effective bulk conductivity ${\ensuremath{\sigma}}_{e}$ and of the effective bulk dielectric constant ${\ensuremath{\epsilon}}_{e}$ of a heterogeneous mixture of a conducting phase and an insulating dielectric phase is analyzed in the vicinity of the percolation threshold. Exact considerations of a general nature lead to the conclusion that ${\ensuremath{\epsilon}}_{e}$ diverges as the conductivity threshold is approached from either side. The introduction of a homogeneity or scaling hypothesis leads to relations between the critical behavior of ${\ensuremath{\sigma}}_{e}$ and ${\ensuremath{\epsilon}}_{e}$.
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Citations
Cites
Kirkpatrick, S. (1973) · Reviews of Modern Physics · doi:10.1103/revmodphys.45.574 · Cited by 5,260
An introduction to percolation theory
Shante, V. K. S., & Kirkpatrick, S. (1971) · Advances in Physics · doi:10.1080/00018737100101261 · Cited by 2,491
Efros, A. L., & Shklovskii, B. I. (1976) · physica status solidi (b) · doi:10.1002/pssb.2220760205 · Cited by 889
Critical exponents for the conductivity of random resistor lattices
Straley, J. P. (1977) · Physical Review B · doi:10.1103/physrevb.15.5733 · Cited by 445
Phase Transitions and Critical Phenomena
Fai, L. C. (2019) · Quantum Field Theory · doi:10.1201/9780429196942-8 · Cited by 439
Critical phenomena in resistor networks
Straley, J. P. (1976) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/9/5/017 · Cited by 224
Percolation Phenomena in Higher Dimensions: Approach to the Mean-Field Limit
Kirkpatrick, S. (1976) · Physical Review Letters · doi:10.1103/physrevlett.36.69 · Cited by 206
Percolation thresholds in Ising magnets and conducting mixtures
Kirkpatrick, S. (1977) · Physical Review B · doi:10.1103/physrevb.15.1533 · Cited by 201
Theory of optical and microwave properties of microscopically inhomogeneous materials
Webman, I., Jortner, J., & Cohen, M. H. (1977) · Physical Review B · doi:10.1103/physrevb.15.5712 · Cited by 176
Effective medium theory of optical properties of small particle composites
Wood, D. M., & Ashcroft, N. W. (1977) · Philosophical magazine · doi:10.1080/14786437708237052 · Cited by 112
Cited by
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
Electromagnetic properties of Si–C–N based ceramics and composites
Yin, X., Kong, L., Zhang, L., Cheng, L., Travitzky, N., & Greil, P. (2014) · International Materials Reviews · doi:10.1179/1743280414y.0000000037 · Cited by 622
Dielectric spectroscopy on melt processed polycarbonate—multiwalled carbon nanotube composites
Pötschke, P., Dudkin, S. M., & Alig, I. (2003) · Polymer · doi:10.1016/s0032-3861(03)00451-8 · Cited by 447
ac conduction and 1/f noise in a Cr-film lattice-percolation system
Song, Y., Lee, S.-I., & Gaines, J. R. (1992) · Physical Review B · doi:10.1103/physrevb.46.14 · Cited by 408
Effective dielectric constant of periodic composite materials
Sareni, B., Krähenbühl, L., Beroual, A., & Brosseau, C. (1996) · Journal of Applied Physics · doi:10.1063/1.362969 · Cited by 253
Metadata
- Authors
- Bergman, D. J., & Imry, Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1977-11-07
- Volume
- 39
- Issue
- 19
- Pages
- 1222-1225
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1977880029
- Cited by
- 447
- References
- 12
- FWCI
- 2.27
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
