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Generalized effective-medium approach to the conductivity of an inhomogeneous material
Abstract
An old effective-medium approximation for the conductivity tensor of a randomly inhomogeneous medium is generalized to treat, in principle, materials consisting of crystallites of arbitrary shape and conductivity tensors of arbitrary symmetry. The effective-medium approximation is roughly analogous to the coherent-potential approximation (CPA) of alloy theory. The analog of the average-$t$-matrix approximation (ATA) is also formulated in a general way. The method is fully tractable analytically for ellipsoidal crystallites. Several applications are discussed. The effective conductivity of a polycrystal consisting of randomly oriented uniaxial crystallites is calculated as a function of the anisotropy of the grains. For a model polycrystal in an intense magnetic field, the CPA and ATA are compared, the former giving more accurate results.
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Cites
Bruggeman, D. A. G. (1935) · Annalen der Physik · doi:10.1002/andp.19354160705 · Cited by 8,645
VII. Colours in metal glasses, in metallic films, and in metallic solutions.—II
Garnett, J. C. M. (1906) · Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1906.0007 · Cited by 1,246
Cited by
Surface plasmon resonance in gold nanoparticles: a review
Amendola, V., Pilot, R., Frasconi, M., Maragò, O. M., & Iatì, M. A. (2017) · Journal of Physics: Condensed Matter · doi:10.1088/1361-648x/aa60f3 · Cited by 1,905
Carrier dynamics in semiconductors studied with time-resolved terahertz spectroscopy
Ulbricht, R., Hendry, E., Shan, J., Heinz, T. F., & Bonn, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.543 · Cited by 1,293
Sahimi, M. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.1393 · Cited by 1,082
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
Effective medium models for the optical properties of inhomogeneous materials
Niklasson, G. A., Granqvist, C. G., & Hunderi, O. (1981) · Applied Optics · doi:10.1364/ao.20.000026 · Cited by 664
Metadata
- Authors
- Stroud, D.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1975-10-15
- Volume
- 12
- Issue
- 8
- Pages
- 3368-3373
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2022774496
- Cited by
- 637
- References
- 2
- FWCI
- 22.31
- Type
- journal article
- Language
- en
- Open access
- closed
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- Stroud, D. (1975). Generalized effective-medium approach to the conductivity of an inhomogeneous material. Physical Review B. https://doi.org/10.1103/physrevb.12.3368
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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